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Dmitry [639]
3 years ago
12

If the coordinates of point a are -3 and 2 and the coordinates of point B are 7 and 6 the x-intercept of CD is what

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

The x-intercept of CD is -19/5

Step-by-step explanation:

If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:

We know that the general equation of the line is:

y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:

m = (x1 - x0) / (y1 - y0)

In this case:

(x1, y1) = (7, 6)

(x0, y0) = (-3, 2)

Then:

m = (7 - (-3))/(6-2) = 10/4 = 5/2.

Then, the equation of the line is:

y-y0 = m(x-x0)

y - 2 = 5/2 (x -(-3))

y = 5/2(x+3) + 2

To find the x intercept we make y=0.

Then y = 5/2(x+3) + 2 = 0

Then:

x = -4/5 - 3 = -19/5

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The diagram shows a straight line ABCD.
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Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

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calculate m using the slope formula

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with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

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using (620, - 180 ) , then

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y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

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an air conditioner can cool a room that has a volume of up to 3,600 cubic feet. a room shaped like a rectangular prism is 15 fee
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The length of the air conditioner is 24 feet.

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Width = 15 feet

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Answer:

B(75) represents the percent of battery full after 75 minutes of game play

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Let m represent the number of minutes of game play. If  1% of the battery is drained every five minutes of game play, then after m minutes of game play \dfrac{m}{5}\% was drained.

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