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densk [106]
3 years ago
13

The hexagon below has been reduced by a scale factor of One-third.

Mathematics
2 answers:
yuradex [85]3 years ago
5 0
24 because 72 divided by 1/3 = 24
Katarina [22]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

5 0
3 years ago
The ratio of two complementary angles is 5 to 1. what are the angles?
densk [106]
Call x and y those angles. If they are complementary, then their sum equals 90°:

x + y = 90°

y = 90° - x

The ratio of them is 5 to 1. So,

x/y = 5/1

x/(90° - x) = 5/1

x = 5 * (90° - x)

x = 450° - 5x

x + 5x = 450°

6x = 450°

x = 450°/6

x = 75°

The measure of the other angle is

y = 90° - 75°

y = 15°

The angles are 75° and 15°.

I hope it helps. =)
6 0
3 years ago
What is the measure of angle x?​
aivan3 [116]

Answer:

83 is the measure of x.

Step-by-step explanation:

A triangle is equal to 180 degrees. So 180 - 53 - 44 = 83.

4 0
2 years ago
Read 2 more answers
Which function below is the inverse of f(x) = x2 − 36? x squared over 36 ą6square root of x 1 over quantity x squared minus 36 ą
Hitman42 [59]
The answer would be <span><span>f<span>−1</span></span><span>(x)</span></span>=<span>√<span>36+x</span></span>,<span>−<span>√<span>36+<span>x. I didn't know it in word form :(</span></span></span></span>
4 0
3 years ago
There are two positive numbers. four times the small number plus 3 times the big number is 41. two times the small number plus t
xxTIMURxx [149]
The small number is 2 the large number is 11.
4(2)+11(3)=41
2(2)+11=15
11(10) -2(6) = 98


hope that helps
4 0
3 years ago
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