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faltersainse [42]
3 years ago
5

Write the following equation of a line that passes through (4,-1) and is perpendicular to 4x+2y=10

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

y=(1/2)x -3

Step-by-step explanation:

Simplify equation:

4x+2y=10

2y= -4x+10

y= -2x+5


Insert coordinates (trying to find b) (perpendicular lines have opposite reciprocal slopes) :

-1= (1/2)(4)+b

-1=2+b

-3=b


Insert b and new slope to equation:

y=(1/2)x -3

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2 years ago
Which graft represent -3x+5y=-15
azamat

The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

-3x + 5y = -15

The above function shows a linear function we can write it as:

5y = 3x - 15

y = (3x - 15)/5

If x = 0, y = -3

x = 1, y = -2.4

x = 2, y = -1.8

x = -1, y = -3.6

x = -2, y = -4.2

Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.

Learn more about the function here:

brainly.com/question/5245372

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7 0
2 years ago
Rectangular prism A measures 2 inches by 7 inches by 8 inches. Rectangular prism B measures 1 inches by 5 inches by 10 inches.
satela [25.4K]

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

<h3>Mensuration of Solids</h3>

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

Learn more about Mensuration of Solids here:

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7 0
1 year ago
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