Consider the line y = 6x-9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:

Answer:

x = 1       y = -4

Step-by-step explanation:

-7x + 3 = -x - 3

-7x = -x - 6

-6x = -6

x = 1

y = - (1) - 3

y = -1 - 3

y = -4

5π/3=5π/3×180/π=300°

300° is the correct answer

Answer:

300 degrees

Step-by-step explanation:

To convert from radians to degrees, multiply by 180/ pi

5 pi /3  * 180/pi

5/3 * 180

5 * 60

300

Answer:

Step-by-step explanation:

3/11 + 4/11 = 7/11

2/3 divided by 7/11

Multiply by reciprocal

2/3 * 11/7 = 22/21 or 1 1/21

Answer:

\(\frac{22}{21}\)

Step-by-step explanation:

Firstly, we can see that this equation contains multiple different operators (in this case division and addition). So, we must keep in mind the order of operations. This can be remembered as PEMDAS or Paraenthasis, Exponents, Multiplication, Division, Addition, and Subtraction. When working on the problem using PEMDAS ALWAYS start from P and work your way down. PEMDAS is just used to determine the order in which a problem should be solved.

In our equation we have \(\frac{2}{3} / ( \frac{3}{11} +\frac{4}{11})\)

So, by using PEMDAS we can see that we first need to deal with what is in the parathesis.

We can do this by adding the two fractions together, which will give us \(\frac{7}{11}\)

We can add these together because the denominator or bottom numbers are the same.

Now we will have \(\frac{2}{3} / \frac{7}{11}\)

Now, we can use a math trick called keep it, change it, flip it to solve for the answer.

The first fraction, 2/3, will remain the same (this is the keep it step). Then change the division to multiplication (this is the change it step). And finally, flip the numerator with the denominator of the second fraction. So 7/11 will now be 11/7.

Your equations should now be \(\frac{2}{3} *\frac{11}{7}\)

Now solve! Multiply the numerators (top numbers) together and denominators (bottom numbers) together.

So, 2 x 11 = 22 and 3 x 7 = 21.

You should end up with \(\frac{22}{21}\)

This number cannot be further decreased, so it is your final answer.

Hope this helps :)

Answer:

D is correct

Step-by-step explanation:

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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Answer:

The equation is y=-6x+3

Step-by-step explanation:

the y-intercept is 3 and the slope is 6

Answer: It’s C just did assignment 288unitssquared

Answer:

Joe Biden

Step-by-step explanation:

Answer:

y=1/3x

Step-by-step explanation:

To write an equation we need to find the slope. to do that we use y-y1 over x-x1. In this case, I used the points (3,1) and (0,0). 1-0 over 3-0 comes out to 1/3. Replace m with that and you have your equation.

Divide total cost by amount bought:

62.90 / 2.5 = 25.16

One cubic yard cost $25.16

Answer:

$25.16

Step-by-step explanation:

62.90/2.5=25.16

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

The fraction is equivalent to the \(\sqrt{x+2}-\sqrt{x}\).

The correct option is (C).

Given,

The fraction is given as:

\(\frac{2}{\sqrt{x} -\sqrt{x+2} }\)

To find the above fraction which choice is equivalent to the fraction?

Now, According to the question:

Simplify or expand

\(\frac{2}{\sqrt{x} -\sqrt{x+2} }\)

Rationalize the denominator:

\(\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }\)

Expand the expression:

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{(\sqrt{x})^2-(\sqrt{x+2} )^2 }\)

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}\)

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}\)

Determine the sign and cross out the common factor:

\(\sqrt{x+2}-\sqrt{x}\)

Hence, The fraction is equivalent to the \(\sqrt{x+2}-\sqrt{x}\).

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The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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Answer:1/4 of robot

Step-by-step explanation:

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Becky has 15 apples. She wants to give her 5 friends an equal amount each. How many apples would each friend get?

Hope this helps and pls mark me brainliest:)

The upper bound of the volume of water left in the fish tank is 20 liters.

In the given statement is :

A fish tank contains 60 liters of water, rounded to 1 significant figure. 40 liters of water, rounded to 1 significant figure, are removed from the tank.

Work out the upper bound of the volume of water left in the fish tank.

Now, According to the question:

Initial water in tank = 60 liters

Amount of water removed = 40 liters

Hence, To calculate the upper bound of the volume of water left in the fish tank;

= 60 - 40

= 20 liters

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Given that:

'x' represents the area used for flowers.

'y' represents the area used for vegetables.

The information will lead to two inequalities which are,

Let us now graph the two inequalities above

From the above graph, the red shaded portion is the region corresponding to all values of x and y that satisfies the requirements.

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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Answer:

28.5

Step-by-step explanation:

x + 14 = 3x - 15

29 = 2x

x = 14.5

14.5 + 14 = 28.5

The missing frequencies represented by x and y are x = 0 and y = 0

From the question, we have the following parameters that can be used in our computation:

Data: 0, 1, 2, 3, 4, 5 ​

Frequency: 4, x, y, 5, 6, 5

Mean = 3.2

The mean is calculated as

Mean = Sum/Count

So, we have

(0 * 4 + 1 * x + 2 * y + 3 * 5 + 4 * 6 + 5 * 5)/(4 + x + y + 5 + 6 + 5) = 3.2

This gives

(x + 2y + 64)/(x + y + 20) = 3.2

Rewrite as

(x + 2y + 64)/(x + y + 20) = 32/10

So, we have

(x + 2y + 64)/(x + y + 20) = 64/20

By comparison, we have

x + 2y + 64 = 64

x + y + 20 = 20

So, we have

x + 2y = 0

x + y = 0

Subtract the equations

y = 0

So, we have

x + 0 = 0

Evaluate

x = 0

Hence, the missing frequencies are 0

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Answer: 25650

Step-by-step explanation: 10% of 28500 is well 2850

28500-2850=25650

(if only i could get good rates on my car)

This paragraph add tension to the passage by explaining how the old trees would take human qualities in reaction to being cut down. Option D

The term tension in literature has to do with the feeling of anxiety that comes along with a piece of written text. Anxiety is deliberately created by the author as one of means of making the reader to be spellbound by the writing.

Now, if we examine the excerpt as we have it in the question, we can see that this paragraph add tension to the passage by explaining how the old trees would take human qualities in reaction to being cut down. Option D

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Answer:(-2,-6)

Step-by-step explanation:Put it in a graph and it should be the dot in the direct middle

Answer:

f(x)= (x+2)^2-6

Step-by-step explanation:

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

i guess it is 1 inch??

Step-by-step explanation:

6/29+13/29+10/29

(6+10+13)/29

29/29

1