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3 years ago

Find the slope of the line that passes through: (-4,7) and (-6, -4)

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer:

$\frac{11}{2}$ or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

$y_2-y_1/x_2-x_1$

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

$\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5$

The equation for the line would be $\frac{11}{2}$ x+29

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How to graph x+y=1 & is it linear

liq [111]

Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

7 0

3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

I’ll mark you as brainliest!

Virty [35]

Answer:

Area of rectangle = l*b

11*9

I think it will help you.

3 0

3 years ago

Read 2 more answers

A movie theater sends out a coupon for 75 percent off. Write an equation for the situation

ZanzabumX [31]

75%. Move the decimal to spots to the left so .78 then divided it by the cost of the movie ticket and that will be the cost of the ticket with the Collin

6 0

3 years ago

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate

Zanzabum

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

∴ The capacity of milk in 1 bottle is 2.99 liters

8 0

3 years ago