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2 years ago

Help me out! What's the answer?

Mathematics

1 answer:

WINSTONCH [101]2 years ago

6 0

Answer:

5√2

Step-by-step explanation:

The 45-45-90 triangle theorem states that the length of a triangle's hypotenuse is √2 times the length of the triangle's leg. In this problem, the triangle's leg is equal to 5, meaning that the hypotenuse would be 5 x √2, which is equal to 5√2.

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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Alenkinab [10]

For this case, the parent function is given by:

$f (x) = x ^ 2$

We apply the following transformations:

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

$h (x) = x ^ 2 + 9$

Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

$g (x) = (x-4) ^ 2 + 9$

Answer:

The function g (x) is given by:

$g (x) = (x-4) ^ 2 + 9$

7 0

3 years ago

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Please let me know if I’m right, thank you.

Korvikt [17]

Answer:

Yes

Step-by-step explanation:

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3 years ago

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Catie earned $3,511.95 last month. She used 3/5 of her earnings to pay her bills. With the remaining money she bought two skirts

andrew11 [14]

Answer:

$Amount \ left = 1345.81$

Step-by-step explanation:

$Total \ earning = T= $3,511.95$

$Spent \ on \ Bills = B = \frac{3}{5} T = 2107.17$

$Remaining \ amount = R = T-B = $3,511.95 - 2107.17\\R = 1404.78$

$Spent \ on \ Shopping = S = 2($21.99) + $14.99\\S = 58.97$

$Amount \ left = L = R - S\\Amount \ left = 1404.78 - 58.97\\Amount \ left = 1345.81$

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3 years ago

A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are

Alex777 [14]

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

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2 years ago

Use the permutation formula to solve a problem when n = 15 and r = 4.

barxatty [35]

$nPr = \frac{n!}{(n - r)!}$

$15P4 = \frac{15!}{(15 - 4)!} = \frac{15!}{11!} \\ = \frac{15 \times 14 \times 13 \times 12 \times 11!}{11!} \\ 15 \times 14 \times 13 \times 12 = 32760$

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2 years ago

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