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vovikov84 [41]
3 years ago
7

Please help

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

4. y = 1/2x + 3/2

Step-by-step explanation:

First, we need to change the line that's parallel into slope-intercept form.

-2x + 4y = 8

4y = 2x + 8

y = 1/2x + 2

If it's parallel, then it remains the same. So our slope is 1/2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = 1/2x + b

-1 = 1/2(-5) + b

-1 = -5/2 + b

3/2 = b

y = 1/2x + 3/2

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A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?
vovikov84 [41]

Answer:

SA=384\ in^2

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is r=4\ in

The diameter of the sphere is two times the radius

D=2r=2(4)=8\ in

so

The length side of the cube is

b=8\ in

Remember that

The surface area of a cube is equal to the area of its six faces

so

SA=6b^2

substitute the value of b

SA=6(8)^2

SA=384\ in^2

6 0
3 years ago
Evaluate the function f(x) = -7x + 2 at f(-18).
enyata [817]

Answer:

128

Step-by-step explanation:

-7x+2 = -18(-7)+2=126+2=128

7 0
2 years ago
tom put 18 gallons of mid grade gas in his truck and filled up his empty five gallon gas can with regular gas for his lawnmower
k0ka [10]

Answer:

Step-by-step explanation:

Let price of milgrade gas be x and price of lawnmower gas be y.

18x + 5y=59.51

14x+y=39.75

Isolate one variable and substitute to solve for other variable.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%3Dx%2B3y%3Dx-1" id="TexFormula1" title="y=x+3y=x-1" alt="y=x+3y=x-1" align="absmiddle" class
Dominik [7]

Answer:

y = x + 3y = x - 1

Step-by-step explanation:

Just graph them!

Hope I could help.

5 0
3 years ago
Item 14
andreyandreev [35.5K]

Your collection's mean answers

median - 1930

range - 54

interquartile range - 50

mean absolute devitation - 23.75

Your friends collection mean answers

median - 1929.5

range - 15

interquartile range - 7

mean absolute devitation - 3.5

Would really appreciate a brainliest!!

8 0
3 years ago
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