find the following angles. angles Q, ARB, PRQ
I will mark brainlist ​

Find The Following Angles. Angles Q, ARB, PRQ I Will Mark Brainlist

Answers

Answer 1

Answer:

it is very simple we can answer it's to simple

Step-by-step explanation:

let me explain

for it is straight

for arb it is also simple you have to do arb because there is made triangle

prq there is also a triangle

now please mark me as brainlist


Related Questions


Miya flips a coin and rolls a 6 sided dice. She records the outcome. What is the chance she will flip heads
and roll a 3?

Answers

Answer:

aThere are 12 total possibilities: 6 numbers + Head or 6 numbers + Tail

Step-by-step explanation:

Now, required outcomes: T+2,4,6= 3/12 = 1/4

Write the linear equation in slope intercept form and simplify -2/5x + 2/5y = -2

Answers

Answer:

y = x - 2

Step-by-step explanation:

The slope-intercept form is y = mx + b

-2/5x + 2/5y = -2

2/5y = 2/5x - 2

y = x - 2

Answer:

y=x-5

Step-by-step explanation:

-2/5x+2/5y=-2

+2/5x +2/5x

2/5y=2/5x-2

*5/2 *5/2

10/10y=10/10x-10/2

y=x-5

please help im confused

please help im confused

Answers

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?

Answers

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

commuting times for employees of a local company have a mean of 63.6 minutes and astandard deviation of 2.5 minutes. what does chebyshev's theorem say about thepercentage of employees with commuting times between 58.6 minutes and 68.6 minutes?

Answers

According to Chebyshev's theorem, at least 75% of the employees will have commuting times that fall within 2 standard deviations of the mean, or between 58.6 minutes and 68.6 minutes.

Chebyshev's theorem states that for any set of data, regardless of its distribution, a certain percentage of the data lies within a certain number of standard deviations from the mean. Specifically, Chebyshev's theorem states that for any data set, at least 1 – 1/k² of the data values will lie within k standard deviations of the mean, where k is any number greater than 1. If k=2, at least 75% of the data values lie within 2 standard deviations of the mean. If k=3, at least 89% of the data values lie within 3 standard deviations of the mean.

Therefore, for a data set with a mean of 63.6 minutes and a standard deviation of 2.5 minutes, we can use Chebyshev's theorem to determine that at least 75% of the employees will have commuting times that fall within 2 standard deviations of the mean, or between 58.6 minutes and 68.6 minutes.

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Help please lol???????​

Help please lol???????

Answers

back at it again, this time following directions. i beielive it should be 549.5 cm^3 using the V of a cylinder is pi x r^2 x h
Answer: 376.8 cm^2

Step-by-Step Explanation:

We know, the Surface Area of Cylinder:
= 2pi*r(r + h)

r = 5 cm
h = 7 cm

Therefore,
= 2 * pi * r (r + h)
= 2 * 3.14 * 5 (5 + 7)
= 2 * 3.14 * 60
= 376.8

Therefore, the T.S.A is 376.8 cm^2

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5. 32 = 4(x + 9)
6. 2(x-3) = -4.
7. Z(X + 6) = 77
8
8.-9(x - 8) = 27
9. 5(2c + 7) = 75
10. 6(3d +5) = 84




i might as well do this in one, this is due today and i don’t get it, someone help with explaining for the equations

Answers

5) 32 = 4(x + 9)

4(x + 9) = 32
[4(x + 9)]/4 = 32/4
x + 9 = 8
x = 8 - 9
x = -1

6) 2(x - 3) = -4

2(x - 3) = -4
2x - 6 = -4
2x - 6 + 6 = -4 + 6
2x/2 = 2/2
x = 1

7) Z(X + 6) = 77

[Z(X + 6)]/Z = 77/Z
X + 6 = 77/Z
X + 6 - 6 = 77/Z - 6
X = 77/Z - 6

Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal.



a. What is the price for the meal?

Answers

Answer:

$17

Step-by-step explanation:

15×20=300

300÷100=3

20-3=17

Answer:

The bill would be $17

Step-by-step explanation:

I need help with geometry it’s urgent. I will fail class if I don’t pass this test.

I need help with geometry its urgent. I will fail class if I dont pass this test.

Answers

The answer should be 1760. L x W x H is the formula u should use

(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5

(7.5)What is the value of x?X2x + 5x + ]A7.5B.10C2.5D5

Answers

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

There were 578 piglets and 234 adult pigs in the warehouse building yesterday. Today, 126 piglets were sold, and 46 piglets will be delivered to the market later, How many piglets will be left at the Warehouse?​

Answers

Answer:

=406 piglets in the warehouse

Step-by-step explanation:

578-126=452

452-46=406

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Answers

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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On the unit circle, where 0 < theta < or equal to 2pi, when is tan theta undefined?
A. Theta=pi and theta=2pi
B. sin theta = cos theta
C. theta = pi/2 and theta=3pi/2
D. sin theta = 1/cos theta

Answers

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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A verbal description of a function is given. To evaluate f(x), divide the input by 7 and add (6)/(7) to the result. (a) Find an algebraic representation for the function.

Answers

The algebraic representation for the given function is f(x) = (x/7) + (6/7).

The function takes an input x and performs two operations on it. First, it divides the input by 7, which is represented by x/7. Then, it adds 6/7 to the result of the division.

To calculate f(x), you need to follow these steps:

1. Divide the input x by 7: x/7.

2. Add 6/7 to the result of the division: (x/7) + (6/7).

For example, if you want to evaluate f(21), substitute 21 for x in the algebraic representation:

f(21) = (21/7) + (6/7) = 3 + (6/7) = 3 + 0.8571 = 3.8571.

So, when the input is 21, the output of the function f(x) is approximately 3.8571.

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Solve the following Linear Programming Problem by Graphical Method:

Max z = 15x1 + 20 xz x₁ + 4x₂ ≥ 12 x₁ + x₂ ≤ 6 s.t., and x₁, x₂ ≥ 0

Answers

The solution to the linear programming problem is:

Maximum value of z = 120

x₁ = 0, x₂ = 6

To solve the given linear programming problem using the graphical method, we first need to plot the feasible region determined by the constraints and then identify the optimal solution.

The constraints are:

x₁ + x₂ ≥ 12

x₁ + x₂ ≤ 6

x₁, x₂ ≥ 0

Let's plot these constraints on a graph:

The line x₁ + x₂ = 12:

Plotting this line on the graph, we find that it passes through the points (12, 0) and (0, 12). Shade the region above this line.

The line x₁ + x₂ = 6:

Plotting this line on the graph, we find that it passes through the points (6, 0) and (0, 6). Shade the region below this line.

The x-axis (x₁ ≥ 0) and y-axis (x₂ ≥ 0):

Shade the region in the first quadrant of the graph.

The feasible region is the overlapping shaded region determined by all the constraints.

Next, we need to find the corner points of the feasible region by finding the intersection points of the lines. In this case, the corner points are (6, 0), (4, 2), (0, 6), and (0, 0).

Now, we evaluate the objective function z = 15x₁ + 20x₂ at each corner point:

For (6, 0): z = 15(6) + 20(0) = 90

For (4, 2): z = 15(4) + 20(2) = 100

For (0, 6): z = 15(0) + 20(6) = 120

For (0, 0): z = 15(0) + 20(0) = 0

From the evaluations, we can see that the maximum value of z is 120, which occurs at the corner point (0, 6).

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Use inverse matrix to solve the linear system. Solve #19

Use inverse matrix to solve the linear system. Solve #19

Answers

19)

The given system of equations is,

\(\begin{gathered} 4x-3y=11 \\ 5x-2y=12 \end{gathered}\)

The above system of equations can be written in matrix form as,

\(\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}\text{ -----(1)}\)

Here,

\(A=\begin{bmatrix}{4} & {-3} & {} \\ {5} & {-2} & {} \\ {} & {} & \end{bmatrix},\text{ X=}\begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}\text{ },\text{ B=}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix}\)

Therefore, equation (1) can be written as,

\(AX=B\)

Therefore,

\(X=A^{-1}B\text{ -------(2)}\)

Now, we need to calculate the inverse of A.

(Note:

Let a 2x2 matrix P is of the form given below.

\(P=\begin{bmatrix}{a} & {b} & {} \\ {c} & {d} & {} \\ {} & {} & {}\end{bmatrix}\)

The inverse of the matrix P is,

\(\begin{gathered} P^{-1}=\frac{1}{|P|}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{ad-bc}\begin{bmatrix}{d} & {-b} & {} \\ {-c} & {a} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)

)

Similar to the inverse matrix of 2x2 matrix P, the inverse matrix of A can be written as,

\(\begin{gathered} A^{-1}=\frac{1}{4\times(-2)-(-3)\times5}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{-8+15}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\frac{1}{7}\begin{bmatrix}{-2} & {3} & {} \\ {-5} & {4} & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)

Now, put the values in equation (2) to find the solution to the system of equations.

\(\begin{gathered} X=A^{-1^{}}B \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{\frac{-2}{7}} & {\frac{3}{7}} & {} \\ {\frac{-5}{7}} & {\frac{4}{7}} & {} \\ {} & {} & {}\end{bmatrix}\begin{bmatrix}{11} & {} & \\ {12} & {} & \\ {} & {} & \end{bmatrix} \\ =\begin{bmatrix}{\frac{-2}{7}\times11+\frac{3}{7}\times12} & {} & {} \\ {\frac{-5}{7}\times11+\frac{4}{7}\times12} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22}{7}+\frac{36}{7}} & {} & {} \\ {\frac{-55}{7}+\frac{48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{-22+36}{7}} & {} & {} \\ {\frac{-55+48}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ =\begin{bmatrix}{\frac{14}{7}} & {} & {} \\ {\frac{-7}{7}} & & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{x} & {} & {} \\ {y} & & {} \\ {} & {} & \end{bmatrix}=\begin{bmatrix}{2} & {} & {} \\ {-1} & & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)

Therefore, the solution to the system of equations using inverse matrix is x=2 and y=-1.

A student needs to fill with 9 liters of water. How many 1/3 liters of water will it take to fill the tank?

Answers

Answer: 27 times. 1/3 litres is 9 litres

Step-by-step: divide 9 by 1/3 litres , 9:(1/3) = 9·3

Generally, have the minimum wage and the cost of college increased at the same rate? Is this
fair? Explain your thinking.

Answers

Answer:

see below

Step-by-step explanation:

In general, the minimum wage and the cost of college have not increased at the same rate. The cost of college has generally increased faster than the minimum wage. This is due to a variety of factors, including rising tuition costs, declining state funding for higher education, and inflation.

As for whether this is fair, that is a subjective question that depends on one's values and beliefs. Some people believe that it is not fair for the cost of college to increase faster than the minimum wage, as it makes it more difficult for low-income families to afford higher education and limits social mobility. Others may argue that colleges and universities need to be able to cover their costs and maintain high-quality programs, which may require higher tuition.

Ultimately, the fairness of this situation depends on one's perspective and values.

directions: use the given information to find the desired measurement. a ferris wheel has a diameter of 50 feet. how far has a person traveled when they have moved 270 degrees?

Answers

Based on the information, the person traveled 117.8 feet by the Ferris wheel.

Circumference = π×diameter

Keep the values in formula and perform multiplication to find the circumference of the wheel

Circumference = 50π

On 1 complete revolution of 360 degrees, the distance covered = 50π

So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270

Performing multiplication and division on Right Hand Side of the equation

The distance traveled = 117.8 feet

Hence, the person travelled 117.8 feet.

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Which equation represents the slope-intercept form of the line below

Which equation represents the slope-intercept form of the line below

Answers

An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4

Answers

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

How to determine the coordinates of point X?

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4

En el almacén de una escuela se malograron ocho bolsas de leche de la 25 que había que porcentaje de bolsas de leche se malogró

Answers

The percentage of bags of milk were spoiled is 32%.

What percentage of bags of milk were spoiled?

A percentage is defined as the ratio that can be expressed as a fraction of 100.

We have:

total bags of milk = 25 bags

bags of spoilt milk = 8 bags

percentage of bags of milk were spoiled = 8/25 * 100

percentage of bags of milk were spoiled = 32%

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Question in English

In a school warehouse, eight bags of milk of the 25 that there were, what percentage of bags of milk were spoiled?

How do I simplify this expression?:
15x - 7x
-----------
2x

Answers

15x-7x can be simplified to 8x
2x cannot be simplified any further
Hopefully this helped!

Which of the following statements best describes the function of the logic variable X?
A. X is a variable whose value is 1 or 0.
B. X is a constant value in the indeterminate range of logic values.
C. X is a variable whose value is always 1.
D. X is a variable whose value is always 0.

Answers

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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hey help me with this question plzzzz

hey help me with this question plzzzz

Answers

Two Answers: choice C, choice D

Look at where we don't have repeating x values. This happens with function C and function D. All the x values are unique for each choice mentioned.

In choices A, B, and E, the value x = -3 repeats itself. So we don't have a function for either of these. A function is only possible if any input (x) leads to exactly one output (y).


Where is the angle of depression?

Where is the angle of elevation?

How far apart are the two buildings?

What’s the height of the taller building?

Where is the angle of depression? Where is the angle of elevation?How far apart are the two buildings?Whats

Answers

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

If the sample data points are very close to the estimated regression line, then (Choose ALL the right answers.)
a. The slope will be a very big positive number.
b. It is likely to be a decreasing line.
c. The standard error is likely to be small.
d. The R square will tend to be high.
e. The line will look very ugly.

Answers

If the sample data points are very close to the estimated regression line, then standard error is likely to be small and R square will tend to be high. So, correct options are C and D.

Firstly, the slope of the regression line may not necessarily be a very big positive number. The slope of the line depends on the relationship between the independent and dependent variables, and how the dependent variable changes with a unit change in the independent variable.

If the data points are closely packed around the line, it means that the slope is more likely to be a moderate or small number.

Secondly, it is unlikely that the line will be decreasing, as the regression line is usually a straight line that shows the average relationship between the independent and dependent variables.

Thirdly, if the data points are very close to the estimated regression line, then the standard error is likely to be small. This means that the estimated regression line is a good fit for the data and the observed values are close to the predicted values.

Fourthly, the R square will tend to be high if the data points are close to the estimated regression line. R square is a measure of how well the regression line fits the data points, and if the data points are close to the line, then the R square will be higher.

Lastly, if the data points are very close to the estimated regression line, then the line is likely to look visually appealing and not "ugly." The regression line is a summary of the data and should be a good representation of the observed relationship between the variables.

So, correct options are C and D.

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how many ways are there to roll 5 distinct (6-sided) dice and get 3 of a kind? (three dice will show the same number, one die will show a different number, and one die will show yet g

Answers

Number of ways to roll 5 distinct dice and get 3 of a kind is 7200

To find the number of ways to roll 5 distinct dice and get 3 of a kind:

Choose which number appears three times. There are 6 possible choices.

Choose which three dice will show the chosen number. There are 5 ways to choose the first die, 4 ways to choose the second die, and 3 ways to choose the third die, for a total combinations 5 x 4 x 3 = 60 ways.

Choose the numbers that the remaining two dice will show. There are 5 choices for the first die and 4 choices for the second die, but the order in which we choose them doesn't matter, so we need to divide by 2 to correct for overcounting. This gives us (5 x 4) / 2 = 10 ways.

Choose which of the two remaining dice will show the first chosen number. There are 2 choices.

Multiply all of the choices together: 6 x 60 x 10 x 2 = 7,200.

Therefore,  there are 7,200 ways to roll 5 distinct dice and get 3 of a kind.

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Help QUICK! Pointless answers will be reported.
A model car is drawn at a scale of 21 to 1. If the model car is 9.2 in long, how long is the actual car in feet?

Answers

The actual car is 193.2ft long

9 questions for 30 points!

9 questions for 30 points!

Answers

Answer:

1. The solution to question one = (2, -6)

2. The solution to question two = (-1, 7)

3. The solution to question three = (1, 12)

4. The solution to question four = (2, -12)

5. The solution to question five = (3, 12)

6. The solution to question six = (-3, 12)

7. The solution to question seven = (-2, -8)

8. The solution to question eight = (-3, 21)

9. The solution to question nine = (2, 16)

Step-by-step explanation:

Steps to solve question 1:

    Step 1: Substitute 5x for y in y = x - 8 and solve for y

         1. (5x) = x - 8 → 4x = 8 → x = 2

    Step 2: Plug 2 in for x in y = x - 8 and solve for x

         2. y = (2) - 8 → y = -6

         The solution to question one: (2, -6)

Steps to solve question 2:

    Step 1: Substitute 3x for y in y = -x - 4 and solve for y

         1. (3x) = -x - 4 → 4x = -4 → x = -1

    Step 2: Plug -1 in for x in y = -x - 4 and solve for x

         2. y = -(-1) - 8 → y = 7

         The solution to question two: (-1, 7)

Steps to solve question 3:

    Step 1: Substitute 12x for y in y = x + 11 and solve for y

         1. (12x) = x + 11 → 11x = 11 → x = 1

    Step 2: Plug 1 in for x in y = x + 11 and solve for x

         2. y = (1) + 11 → y = 12

         The solution to question three: (1, 12)

Steps to solve question 4:

    Step 1: Substitute -6x for y in y = x - 14 and solve for y

         1. (-6x) = x - 14 → -7x = -14 → x = 2

    Step 2: Plug 2 in for x in y = x - 14 and solve for x

         2. y = (2) - 14 → y = -12

         The solution to question four: (2, -12)

Steps to solve question 5:

    Step 1: Substitute 2x for y in y = -x + 9 and solve for y

         1. (2x) = -x + 9 → 3x = 9 → x = 3

    Step 2: Plug 3 in for x in y = -x + 9 and solve for x

         2. y = (3) + 9 → y = 12

         The solution to question five: (3, 12)

Steps to solve question 6:

    Step 1: Substitute -4x for y in y = x + 15 and solve for y

         1. (-4x) = x + 15 → -5x = 15 → x = -3

    Step 2: Plug -3 in for x in y = x + 15 and solve for x

         2. y = (-3) + 15 → y = 12

         The solution to question six: (-3, 12)

Steps to solve question 7:

    Step 1: Substitute 4x for y in y = -x - 10 and solve for y

         1. (4x) = -x - 10 → 5x = -10 → x = -2

    Step 2: Plug -2 in for x in y = -x - 10 and solve for x

         2. y = -(-2) - 10 → y = -8

         The solution to question seven: (-2, -8)

Steps to solve question 8:

    Step 1: Substitute -7x for y in y = x + 24 and solve for y

         1. (-7x) = x + 24 → -8x = 24 → x = -3

    Step 2: Plug -3 in for x in y = x + 24 and solve for x

         2. y = (-3) + 24 → y = 21

         The solution to question eight: (-3, 21)

Steps to solve question 9:

    Step 1: Substitute 8x for y in y = -x + 18 and solve for y

         1. (8x) = -x + 18 → 9x = 18 → x = 2

    Step 2: Plug 2 in for x in y = -x + 18 and solve for x

         2. y = -(2) + 18 → y = 16

         The solution to question nine: (2, 16)

Hope this helps you out :)

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