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3 years ago

What is the slope of the line that passes through the points (4, 8) and (2, 12) ? Write your answer in simplest form

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:

The slope would be -0.5

Step-by-step explanation:

y2-y1/x2-x1

12-8=4

2-4=-2

4/-2

convert to decimal

you get -0.5

Hope this helps.

You might be interested in

What is the slope of the line that passes through the given points? (1 point)

frez [133]

(1/2,3)(2,3/4)
slope = (3/4 - 3) / (2 - 1/2) = (3/4 - 12/4) / (4/2 - 1/2) =
(-9/4) / (3/2) = -9/4 * 2/3 = -18/12 = -3/2

4 0

3 years ago

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

$169=(y+7)^{2}+y^{2}$

solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

5 0

3 years ago

Can someone please please help with these questions?

wolverine [178]

The answer to number seven is EDF!

5 0

3 years ago

Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=x2+y2−−−−−−√

TiliK225 [7]

Parameterize the part of the sphere by

$\mathbf s(u,v)=(9\cos u\sin v,9\sin u\sin v,9\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . Then

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv$

So the area of $S$ (the part of the sphere above the cone) is given by

$\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi$

4 0

4 years ago

You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.

Keith_Richards [23]

30% is 24
45% is 36
take 15% and multiply it by however much it takes to make the percentage than multiply that by 12

5 0

3 years ago