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Sophie [7]
2 years ago
5

Write the slope -intercept form of an equation of the line that passes through the given point and is parallel to the graph of t

he equation.
5,-5,3x+y=-2

A. y=10x+3
B. y=-3x+10
C. y=1/3x-10
D. y=-3x-10
Mathematics
1 answer:
ElenaW [278]2 years ago
7 0

Answer:

The equation of the required line in the slope-intercept form is

y = -3x + 10

Step-by-step explanation:

i) the required line passes through the point (5, -5)

ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2

  Therefore the slope of the given line is -3.

  Therefore the slope of the required line is also -3

  The equation of the required line in the slope-intercept form is

  y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15    ⇒      y = -3x + 10   ∴ 3x + y = 10.

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The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
3 years ago
Read 2 more answers
Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per
Hitman42 [59]

plane 1 travels 395 miles in 1 hour

plane 2 travels 422 miles in 1 hour

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to have 2451 miles between then, they'd need to travel

\frac{2451 miles}{817 miles}=3

so in 3 hours, they'll be 2451 miles apart

3 0
3 years ago
Which equation represents the statement thirteen less then a number is forty two
Ludmilka [50]
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3 years ago
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Evaluate |-3x + 7|given x = 6.
Harlamova29_29 [7]

Answer:

11

Step-by-step explanation:

8 0
2 years ago
The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the serv
Lynna [10]

Answer:

20 ; $135 ; service charge for 3 hours spent is $135

Step-by-step explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135

6 0
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