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mixas84 [53]
3 years ago
7

ASAP pleas help me with this question

Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

y=-7x-3

Step-by-step explanation:

1. Parallel lines have the same slope, so the number that goes in front of x is -7.

2. To find the second number, you need to get the y-intercept by putting the equation into point-slope form and then converting that to y=mx+b format.

Point-slope form:

y-y1=m(x-x1).

m represents the slope, y1 represents the y-value in the ordered pair, and x1 represents the x-value of the ordered pair. Plug these numbers into the equation.

y-32=-7(x+5)

Convert to y=mx+b:

Distribute -7 to x + 5

y-32=-7x-35

Add 32 to both sides

y=-7x-3

3. -3 is the y-intercept because in the equation y=mx+b is b.

OlgaM077 [116]3 years ago
5 0
Y=-7x -3

since the lines are parallel, the slope would be the same, -7. Now you can just plug in the coordinates to solve for the y-intercept, or b. 32=-5*-7 + b, b = -3. So your equation would be y=-7x -3.
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408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

  • The diameter of the sphere = the side of the cube
  • The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

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∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

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∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0
3 years ago
What is the solution to the system of equations?
strojnjashka [21]
Answer is (5,12)...
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How much was the bag bottle and shirt. Figure that out and you get the answer. But the real answer should be negative. But the actual answer is positive.

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