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zysi [14]
3 years ago
13

Find the value of each variable. Write your answer in the simplest radical form.

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
The two smaller triangles are similar to each other and to the larger one.
.. 12/x = x/6 . . . . . ratio of long leg to short leg
.. x^2 = 6*12
.. x = 6√2

.. y/12 = 18/y . . . . . ratio of hypotenuse to long leg
.. y^2 = 12*18
.. y = 6√6

In summary,
x = 6√2
y = 6√6
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F(-5)=5x-1= complete a funtion table with that equation
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f(x)=5x-1\\\\\text{Put the value of x = - 5 to the equation:}\\\\f(-5)=5(-5)-1=-25-1=-26

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How to solve 2x+8=6-x
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<span>2x + 8 = 6 - x

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Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother. How many pounds of grapes does Sien
miskamm [114]

The pounds of grapes left with seinna is 3.125 or \frac{25}{8} pounds

<h3><u>Solution:</u></h3>

Given that Sienna has 5\frac{3}{4} pounds of grapes

She eats \frac{1}{8} pound and gives 2\frac{1}{2} pounds to her brother

<em><u>To find: pounds of grapes left with seinna</u></em>

We can find the pounds of grapes left with seinna by subtracting the pounds of grapes she ate and pounds of grapes she gave to brother from the total pounds of grapes she had

Pounds of grapes left with seinna = total pounds of grapes - pounds of grapes she ate - pounds of grapes she gave to brother

\text {total pounds of grapes }=5 \frac{3}{4}=\frac{4 \times 5+3}{4}=\frac{23}{4}

\text {pounds of grapes she ate }=\frac{1}{8}

\text {pounds of grapes she gave to brother }=2 \frac{1}{2}=\frac{2 \times 2+1}{2}=\frac{5}{2}

<em><u>Substituting the values we get,</u></em>

\text {Pounds of grapes left with seinna }=\frac{23}{4}-\frac{1}{8}-\frac{5}{2}

\text { Pounds of grapes left with seinna }=5.75-0.125-2.5=3.125

Thus the pounds of grapes left with seinna is 3.125 or \frac{25}{8} pounds

5 0
3 years ago
If g(x)=k×f(x) what is the value of k?
Olegator [25]

Answer:

k = g(x)/f(x)

Step-by-step explanation:

Unless there is more to the question, the answer is g(x) / f(x) = k

You just need to divide both sides by f(x)

Here's an example

f(x) = 20x + 40

g(x) = 80x + 160

k = g(x)/f(x) = (80x + 160) / (20x + 40) = 4*(20x + 40)/(20x + 40)

k = 4

8 0
3 years ago
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