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3 years ago

What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8 ?

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:

y=2/-1+8

Step-by-step explanation:

-4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
formula is, y2-y1/x2-x1
8-0/0-4=8/-4=4/-2= 2/-1
2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
(0,8), 0=x1 8=y1
formula is y-y1=m(x-x1)
y-8=2/-1(x-0) ---->distribute
y-8=2/-1x-0 --->get y alone

+8 +8

so the answer is y=2/-1+8

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Sphere with a radius of a radius of 42 inches

prisoha [69]

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

5 0

3 years ago

PLEASE HELP QUICK, I NEED IT

just olya [345]

We take the equation d = -16t^2+12t and subtract d from both sides to get
 0 = -16t^2+12t - d
We apply the quadratic formula to solve for t. With a = -16, b = 12, c = -d, we have
 t = [ -(12) ± √( 12^2 - 4(-16)(-d) ) ] / [2 * -16]
 = [- 12 ± √(144-64d) ] / (-32)
 = [- 12 ± √16(9-4d)] / (-32)
 = [- 12 ± 4√(9-4d)] / (-32)
 = 3/8 ±√(9-4d) / 8
The answer to your question is t = 3/8 ±√(9-4d) / 8

5 0

3 years ago

Read 2 more answers

Plzzzz help mee plzzzzz plzzzzz

FromTheMoon [43]

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

3 0

2 years ago

If the numbers -2.5, -1.6, -3 1/10, - 1/10, and -0.5 were graphed on a number line, which would appear farthest to the left?

Leona [35]

Turn the question around.
If all the numbers were positive: 2.5, 1.6, 3 1/10, 1/10, and 0.5, which would be farthest to the right?

The fact is that the negative numbers are a reflection of the positive numbers.
Since 3 1/10 would be farthest to the right with positive numbers, -3 1/10 will be farthest to the left with the negative numbers.

7 0

3 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$