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2 years ago

What is the slope of the line that passes through the points (0,-7) and (-4,3)

Mathematics

1 answer:

erastova [34]2 years ago

4 0

Answer:

Step-by-step explanation:

To find slope you have to take y2-y1 over x2-x1

y2=your second y poiny

y1=first y point

x2=second x point

x1=first x point

Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.

3 + 7

____

-4-0

10/-4

This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.

10/2=5

-4/2=-2

Now your simplified answer would be 5/2

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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe

mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

$H_0=288$ feet

$V_0=48$ feet

$h(t)=288+48t-16t^2$

Re-arrange the terms from greatest degree to smallest degree.

$h(t)=-16t^2+48t+288$

We can solve it by applying quadratic formula,

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here a = –16, b = 48, c = 288

$$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}$

$$t=\frac{-48\pm \sqrt{2304+18432}}{-32}$

$$t=\frac{-48\pm \sqrt{20736}}{-32}$

$$t=\frac{-48\pm144}{-32}$

Now, write find two t's using plus and minus operation.

$$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}$

$$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}$

t = –3 (or) t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

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2 years ago

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Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?

spin [16.1K]

Answer:

29.64

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3 years ago

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