X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this

Answer:

10,293

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(y\geq 2x+3\)

Step-by-step explanation:

the gradient of a line is found by using the formula \(\frac{y_{2}-y_{1}}{x_{2}-x_{1} }\)

so we get \(\frac{5-3}{1-0}=\frac{2}{1} =2\)

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is \(y=2x+3\) in the form \(y=mx+c\)

but the question is asking for an inequality, specifically above the line so we get \(y\geq 2x+3\)

Slope:-

\(\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2\)

Equation of line in point slope form

\(\\ \tt\Rrightarrow y-3=2x\)

\(\\ \tt\Rrightarrow y=2x+3\)

Put (0,0)

Hence the inequality is

\(\\ \tt\Rrightarrow y\geqslant 2x+3\)

Answer/Step-by-step explanation:

Length of AC:

Given that AB = x + 2, and BC = 7x - 3, therefore,

\( (x + 2) + (7x - 3) = AC \) (segment addition postulate)

Simply the expression for the length of segment AC

\( x + 2 + 7x - 3 = AC \)

Collect like terms

\( x + 7x + 2 - 3 = AC \)

\( 8x - 1 = AC \)

Length of QR:

Given that PQ = 8y + 5, and PR = 13y + 25, therefore,

QR = (13y + 25) - (8y + 5) (PQ + QR = PR)

Simplify the expression to for the length of segment QR

QR = 13y + 25 - 8y - 5

Collect like terms

QR = 13y - 8y + 25 - 5

QR = 5y + 20

Answer:

ur screwed but the answer is 110.88

Step-by-step explanation:

:)

Answer: Let the two legs of the right triangle be a and b. Then, using the Pythagorean theorem, we have:

a^2 + b^2 = 10^2 = 100

The perimeter of the triangle is:

a + b + 10 = 24

Solving for a and b in terms of one variable, we get:

a = 24 - b - 10 = 14 - b

b = 24 - a - 10 = 14 - a

Substituting these expressions into the Pythagorean equation, we get:

(14 - b)^2 + b^2 = 100

Expanding and simplifying, we get a quadratic equation:

2b^2 - 28b + 84 = 0

Dividing by 2, we get:

b^2 - 14b + 42 = 0

This quadratic can be factored as:

(b - 7)(b - 6) = 0

Therefore, b = 7 or b = 6.

If b = 7, then a = 14 - 7 = 7. If b = 6, then a = 14 - 6 = 8.

So the other two sides of the right triangle are 7 cm and 24 - 7 - 10 = 7 cm, or 6 cm and 24 - 6 - 10 = 8 cm.

Using the formula for the area of a right triangle, we have:

Area = (1/2) * base * height = (1/2) * 7 * 7 = 24.5 cm^2 (for the triangle with legs 7 cm and 7 cm) or (1/2) * 6 * 8 = 24 cm^2 (for the triangle with legs 6 cm and 8 cm)

To verify the result using Heron's formula, we need to calculate the semi-perimeter of the triangle. It is:

s = (7 + 7 + 10)/2 = 12

Using Heron's formula, the area is:

sqrt(s(s-7)(s-7)(s-10)) = sqrt(12552) = sqrt(600) = 24.49 cm^2 (for the triangle with legs 7 cm and 7 cm) or sqrt(12642) = sqrt(576) = 24 cm^2 (for the triangle with legs 6 cm and 8 cm)

As we can see, the results obtained using the two methods are very close to each other, which confirms the correctness of our solution.

Step-by-step explanation:

Example: See attached

Answer:

Multiply to -63

and add to -2

Step-by-step explanation:

I'm a genius.

Answer:

(x - 9)(x + 7)

Step-by-step explanation:

Given

x² - 2x - 63

Consider the factors of the constant term (- 63) which sum to give the coefficient of the x- term, that is

numbers that multiply to give - 63 and add to give - 2

The factors are - 9 and + 7 , since

- 9 × 7 = - 63 and - 9 + 7 = - 2 , then

x² - 2x - 63 = (x - 9)(x + 7) ← in factored form

Answer:

$8.50

Explanation:

Given the function f(h) that describes the total dollar amount Tomas earns, based on the number of hours he works:

When h=1, f(1)=250+8.5(1)=$258.5

When h=2, f(2)=250+8.5(2)=$267

Now:

It means therefore that for every additional hour, Tomas earns $8.5.

The hourly wage Tomas earns is $8.5.

Now,

The distance between the two skew lines that measure along the line Perpendicular to the two lines is \(\frac{13}{\sqrt{70}}\).

To find the distance between the skew lines and measure the distance along the line perpendicular to the two lines, it is necessary to find a vector n perpendicular to both lines. Then project rAC onto that vector.

Here's the step-by-step explanation:

Step 1 Finding vector AB and vector CD

Step 2 Finding the vector n perpendicular to both lines.

The vector that is perpendicular to both lines is the cross-product of the vectors AB and CD.

Step 3 Finding the projection of rAC onto the vector n.

Therefore, the distance between the two skew lines is \(\frac{13}{\sqrt{70}}\).

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Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

\(A=\frac{1}{2}h(b_1 +b_2)\)                [multiply both sides by 2]

\(2A=h(b_1 +b_2)\)                 [divide both sides by b₁+b₂]

\(\frac{2A}{b_1+b_2} =h\)

\(h=\frac{2A}{b_1+b_2}\)

---------------------------------------------------------------------------------------------

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with \(\frac{2A}{h} =b_1+b_2\). To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Ryan needs 35 feet of wood in total.

To calculate the total amount of wood Ryan needs, we can multiply the number of pieces of wood by the length of each piece.

Given:

Number of pieces of wood: 7

Length of each piece: 5 feet

To find the total amount of wood, we multiply:

Total wood = Number of pieces * Length of each piece

Total wood = 7 * 5

Total wood = 35 feet

Therefore, Ryan needs 35 feet of wood in total.

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Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.

Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.

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A public event or celebration, typically held outdoors and involving stalls, entertainment, and processions.

Answer:

no

Step-by-step explanation:

Answer:

I believe not

Step-by-step explanation:

The given statement "calculated fields must always contain at least one constant" is false because calculated fields do not necessarily have to contain a constant value.

They can involve variables, formulas, functions, or expressions that perform calculations based on the given data. The purpose of calculated fields is to derive new values or perform computations based on existing data within a system or application.

While constants can be used in calculated fields, they are not a requirement. The specific requirements and structure of calculated fields may vary depending on the context and the software or system being used.

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the angle BAD is 75 degrees and  we used the properties of angles in a circle and the tangent-secant theorem to find angle BAD .

To work out angle BAD, we need to use the properties of angles in a circle and the tangent-secant theorem. Here are the steps to solve the problem:

Identify the relevant angles First, we need to draw a diagram to visualize the problem. We have a circle with center O, points A, B, C, and D on the circumference, and tangent ED. Angle ODB is given as 25 degrees. We need to find angle BAD. We can label the angles in the diagram as follows:

Angle AOB = 2x (angle at the center is twice the angle at the circumference)

Angle BCD = x (angles in the same segment are equal)

Angle OBD = 90 degrees (tangent and radius are perpendicular)

Angle OED = 90 degrees (tangent and radius are perpendicular)

Angle ABD = y (we need to find this angle)

Angle BAD = z (we need to find this angle)

Use the sum of angles in a triangle

We notice that triangle ABD is a right triangle, with right angle at B. Therefore, angles ABD and BAD are complementary. That is, ABD + BAD = 90 degrees. Use the tangent-secant theorem

We can use the tangent-secant theorem to find the value of angle ABD. The tangent-secant theorem states that if a tangent and a secant intersect at a point on a circle, then the angle between the tangent and the secant is equal to the half the difference of the intercepted arcs. In our diagram, ED is a tangent, and BD is a secant. Therefore, angle ODB = 25 degrees is half the difference of the intercepted arcs AD and AB. That is, angle ABD = (2x - x)/2 = x/2.

Solve for x

To find x, we can use the fact that the angles in a triangle add up to 180 degrees. Therefore, x + 2x + 90 = 180 (sum of angles in triangle AOB). Solving for x, we get x = 30 degrees.

Find angle ABD and angle BAD

Using the result from step 3, we get ABD = x/2 = 15 degrees. Using the result from step 2, we get BAD = 90 - ABD = 75 degrees.

Therefore, the angle BAD is 75 degrees. In summary, we used the properties of angles in a circle and the tangent-secant theorem to find angle BAD. We noticed that ABD and BAD are complementary, and we used the tangent-secant theorem to find ABD. Then, we solved for x using the fact that the angles in a triangle add up to 180 degrees. Finally, we used the results from steps 2 and 3 to find BAD.

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The solution of the expression 2(4+9)-(3 x 2) will be 20.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given expression is 2 x (4+9)-(3 x 2). The solution to the expression is given below:-

E = 2 x (4+9)-(3 x 2)

E = 2x 13 - 6

E = 26 - 6

E = 20

Therefore, the solution of the expression 2(4+9)-(3 x 2) will be 20.

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Answer:

40

Step-by-step explanation:

Area of the triangle is 24

Area of rectangle is 16

16+24=40

So to find Area, use the formulas:

A = Length x Height       (Rectangle)

A = Base x Height / 2     (Triangle)

Rectangle:

A = L x H

A = 8 x 2 = 16

Triangle:

A = B x H /2

A = 8 x 6 / 2 = 48/2 = 24

16 + 24 = 40

The Composite Figure Area is 40in.

The equation, in standard form, of the parabola that models the values in the table is \(y = 6x^2 + 5x - 4\).

The given table of values represents the relationship between x and y in a parabolic function. To determine the equation of the parabola, we look for a quadratic expression of the form y = ax² + bx + c, where a, b, and c are constants.

By examining the table and matching the values, we find that the equation y = 6x²+ 5x - 4 best represents the given data. This equation is in standard form, with the highest power of x being 2. It describes a U-shaped curve, known as a parabola, which is concave upward.

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The logarithmic equation 2log4 - log3 + 2logx - 4 = 0 can be solved by rewriting the equation using logarithmic properties and then solving for x. The exact value of x depends on the logarithmic base used.

To solve the logarithmic equation 2log4 - log3 + 2logx - 4 = 0, we can start by applying logarithmic properties. Using the properties

log(a) - log(b) = log(a/b) and log(a^b) = b log(a), we can rewrite the equation as log(4^2) - log(3) + log(x^2) - log(10,000) = 0.

Simplifying further, we have 2 log(16) - log(3) + 2 log(x) - 4 = 0.

Next, we can combine the logarithmic terms using the property

log(a) + log(b) = log(a * b). This gives us log(16^2 * x^2 / 3) - 4 = 0. Simplifying the logarithm, we have log(256x^2/3) - 4 = 0.

To isolate the logarithm, we can apply the property a = b implies 10^a = 10^b. In this case,

10^(log(256x^2/3) - 4) = 10^0. This simplifies to 256x^2/3 = 10^4.

Finally, we solve for x by rearranging the equation. Multiplying both sides by 3/256, we get x^2 = (3/256) * 10^4. Taking the square root of both sides, we have x = ±√(3/256) * 10^2. Thus, the exact value of x depends on the logarithmic base used, but this provides the general form of the solution.

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Someone who makes $40,000 in the United States would need to earn  $26,400 in Mexico

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Earning in the United States equals earning in Maxico.

By applying the formula, a person's estimated annual income in the United States is $30303 when their annual income in Mexico is $20,000.

hence when $30303 in United States = $20,000 in Maxico

$40,000 in United States = (20,000/30303) * 40,000 in Maxico = $26400 (Approx)

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The Answer:the answer is D

Step-by-step explanation:

The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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