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3 years ago

Which expression is equivalent to sqrt 128x^5y^6/2x^7y^5

1 answer:

7 0

$\sqrt{\dfrac{128x^5y^6}{2x^7y^5}}=\sqrt{\dfrac{128}{2}\cdot\dfrac{x^5}{x^7}\cdot\dfrac{y^6}{y^5}}=\sqrt{64\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}}=\sqrt{64}\cdot\sqrt{\dfrac{1}{x^2}}\cdot\sqrt{y}\\\\=\boxed{\dfrac{8\sqrt{y}}{|x|}}\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=|a|$

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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH

Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

$\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}$

Substituting the given expression for each segment in the first equation, we get:

$3x+6=2(2x-2).$

Solving the above equation for x, we get:

$\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}$

Substituting x=10 in the equation for segment EI, we get:

$EI=2*10-2=20-2=18.$

Therefore:

$GI=18.$

Now, to determine the measure of angle IEH, we notice that:

$\Delta HFG\cong\Delta GEH,$

therefore,

$\measuredangle GHF\cong\measuredangle HGE.$

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

$m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.$

<h2>Answer: </h2> $\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\ \end{gathered}$

4 0

1 year ago

12. Write the slope-intercept form of the equation of the line.

wlad13 [49]

Answer:

The answer is the first choice.

Step-by-step explanation:

We can eliminate choices 2 and 4 because the y-intercept is wrong. The line passes through the y-axis at 3, so you would add 3 after the slope. Now we have choices 1 and 3. Choice 1 is y=-4/5x+3 and choice 3 is y=4/5x+3. When we do rise over run, we can use the points (0,3) and (5,-1). We get -4/5. Therefore, the answer is choice 1.

I hope this helps and please mark me as brainliest!

8 0

3 years ago

Read 2 more answers

Add using a number line. -3/4 + 1 1/4

Andru [333]

Find 1 1/4 on the number line and count back 3/4 (why it is negative) answer is 1/2.

8 0

3 years ago

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PLEASE HELP I ASKED THIS QUESTION YESTERDAY AND NOBODY ANSWERED.

ehidna [41]

Graph A is correct! :)

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3 years ago

a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given t

V125BC [204]

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

6 0

3 years ago