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lesya692 [45]
3 years ago
14

An older person is three years older than four times the age of a younger person. The sum of their ages is 13. Find their ages.

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0
The ages are 11 and 2
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Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
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The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:

<em>y</em> = <em>x</em>² - 9<em>x</em>   →   d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9

When <em>x</em> = 4, the function takes on a value of

<em>y</em> = 4² - 9•4 = -20

and the derivative is

d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1

Then use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-20) = -1 (<em>x</em> - 4)

<em>y</em> + 20 = -<em>x</em> + 4

<em>y</em> = -<em>x</em> - 24

The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

<em>y</em> - (-20) = 1 (<em>x</em> - 4)

<em>y</em> + 20 = <em>x</em> - 4

<em>y</em> = <em>x</em> - 24

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3 years ago
3x - 3y = -15<br> -x + y = 5
Katyanochek1 [597]

Answer:

I don't understand what you're asking. can you put a question on this?

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1.

3.

4.

5.

in other words : 2. and 6. are wrong, as there is no addition, and the expression has to be written with brackets to allow the subtraction to be done before the multiplication.

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Answer:

\frac{RS}{UV} =\frac{RQ}{UT} =\frac{QS}{TV}

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Step-by-step explanation:

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