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lora16 [44]
3 years ago
6

Write an equation of a line through (2,7.5) with an x-intercept of -1

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

<h2>y = (5/2)x + 5/2</h2>

Step-by-step explanation:

The coordinates of the given x-intercept are (-1, 0).

As we move to the right from (-1, 0) to (2. 7.5), x increases by 3 and y by 7.5.

Thus, the slope of this line is m = rise / run = 7.5 / 3, or 75 / 30, or 5/2.

Thus, starting from y = mx + b, we have:

7.5 = (5/2)(2) + b, or

7.5 = 5 + b

Thus, b = 2.5, and the equation is

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

check:  Is 7.5 = (5/2)(2) + 5/2 true?

             Is 7.5 = 5 + 5/2 true?  YES

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What is .the quotient -5 and y ??
stepladder [879]

Answer:

5 is = to 6 . 4 is equal to x so y is 64 divided bye 5 witch is 12

Step-by-step explanation:

8 0
3 years ago
Factor by grouping. a^2+2ab-24b^2
coldgirl [10]
You can rewrite that as:

a^2-4ab+6ab-24b^2  then factor 1st and 2nd pair of terms.

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3 0
3 years ago
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
MrMuchimi

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

7 0
3 years ago
I need help with this one and the others .
timurjin [86]
20 and 0 are your answers
4 0
3 years ago
How do I find the measurement of this ARC m&lt;IEF
andrey2020 [161]
The measure of a central angle is equal to measure of a minor arc. That makes m<GEH=17x+12. By the Vertical Angles Theorem, m<GEH and m<IEF are equal to each other (m<GEH=17x+12=m<IEF). By the same theorem, m<FEG and m<IEH are also equal (m<FEG=8x-7=m<IEH). The angles in a circle must all add up to 360 degrees, 2(17x+12)+2(8x-7)=360. Solve for x, then plug x into the equation for m<IEF.
Hope this helps!
4 0
4 years ago
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