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3 years ago

(7,5), (r,9) m=6 What is r?

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

The answer is that r = 7/6

Step-by-step explanation:

Given point: (7, 5)

Given slope: m = 6

Use the point slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 6(x - 7)

y - 5 = 6x - 7

y = 6x + 2

Now, find r for the point (r, 9) by substitution:

9 = 6x + 2

6x + 2 = 9

6x = 7

x = 7/6

Proof:

y = 6x + 2

f(x) = 6x + 2

f(7/6) = 6(7/6) + 2

= 42/6 + 2

= 7 + 2 = 9, giving (7/6, 9). r = 7/6

Hope this helps! Have a great day!

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Find a polynomial equation that has zeros at x = −2, x = 0, x = 3 and x = 5

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If a polynomial "contains", in a multiplicative sense, a factor $(x-x_0)$ , then the polynomial has a zero at $x=x_0$ .

So, you polynomial must contain at least the following:

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If you multiply them all, you get

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Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.

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2 years ago