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3 years ago

What is the equation for a line that passes through the points (2,0) and (-4,9)?

Mathematics

1 answer:

Setler79 [48]3 years ago

6 0

Answer:

y = -3/2x+3

Step-by-step explanation:

We first need to find the slope using

m = (y2-y1)/(x2-x1)

= (9-0)/(-4 -2)

9/-6

=-3/2

We will use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+b

Substitute a point into the equation

0 = -3/2(2) +b

0 = -3+b

b = 3

y = -3/2x+3

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Read 2 more answers

A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

Formula for length of diagonal of rectangle: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

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3 years ago