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3 years ago

Find the slope of the line passing through the points (-4,7) and (2,-9)

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

Answer: The slope is -8/3

Step-by-step explanation: Use the slope formula y2-y1/x2-x1

so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3

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Will make you brainliest!!!

SVETLANKA909090 [29]

Answer:

$y=5.63$

Step-by-step explanation:

Given

$y$ varies directly with $x$

This means

$y$ ∝ $x$

This can be written as:

$y=k\ x$

where $k$ is the constant of proportionality.

We know that when $x=8$ then $y=5$ . Using this we can find value of $k$ .

so, we have

$5=k(8)$

Dividing both sides by 8 to isolate $k$ .

$\frac{5}{8}=\frac{k(8)}{8}$

∴ $k=\frac{5}{8}$

when $x=9$ then $y$ will be

$y=\frac{5}{8}\times 9$

∴ $y=\frac{45}{8}\approx 5.63$ (Answer)

4 0

3 years ago

How much force is required to accelerate a 4 kg mass at 6 m/s2

Sunny_sXe [5.5K]

Answer:

is it 24 N?

as we know ....

force=mass * acceleration

force=4kg*6m/s2

hence force is 24N

5 0

2 years ago

4.185 divided by 0.93 rounded

mr Goodwill [35]

To the nearest whole: 4
to the nearest hundredth: 4.2
actual answer: 4.5

4 0

3 years ago

In the pediatric unit of a hospital has 165 beds how many are there if each room holds 3 beds

andrew-mc [135]

Answer:

There are 55 rooms

Step-by-step explanation:

There are 165 beds in the hospital. Each room contains 3 beds. In order to find the number of beds per room, take the total number of beds and divide it by the number of rooms in each bed. 165/3=55. There are 55 rooms in the hospital, all containing 3 beds.

Hope this helps!

8 0

3 years ago

Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of liv

erica [24]

The dimensions of the coop are length = 12 ft and width = 9 ft

Since the coop is a rectangle, the area of the coop is A = LW where

L = length of coop and
W = width of coop.

Now, the length of the coop 3 feet longer than the width, so, L = W + 3

Now, the area of the coop A = 108 ft²

So, A = LW

A = (W + 3)W

108 = W² + 3W

Re-arranging,

W² + 3W - 108 = 0

So, we solve the equation to find the width of the coop

<h3>Width of coop</h3>

W² + 3W - 108 = 0

Factorizing, we have

W² + 12W - 9W - 108 = 0

W(W + 12) - 9(W + 12) = 0

(W + 12)(W - 9) = 0

W + 12 = 0 or W - 9 = 0

W = -12 or W = 9

Since W cannot be negative, W = 9

<h3>Length of coop</h3>

Since L = W + 3

Substituting the value of W into L, we have

L = W + 3

L = 9 + 3

L = 12 ft

So, dimensions of the coop are length = 12 ft and width = 9 ft

Learn more about dimensions of coop here:

brainly.com/question/15558785

7 0

2 years ago