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3 years ago

6

Does anyone mind helping?

2 answers:

lorasvet [3.4K]3 years ago

6 0

Answer:

x^2 y^12

Step-by-step explanation:

( x ^ 1/2 * y ^3 ) ^ 4

A power raised to a power has the exponents multiplied

a^b^c = a^ (b*c)

x^ 1/2 ^ 4 * y^3^4

x^(1/2*4) * y^(3*4)

x^2 y^12

lilavasa [31]3 years ago

3 0

Answer:

$x^2y^{12}$

Step-by-step explanation:

$(x^{\frac{1}{2}}y^3)^4 =$

$= x^{\frac{1}{2} \times 4}y^{3 \times 4}$

$= x^2y^{12}$

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Mr. peter travels 130 miles in 2 hours. at this rate, how many miles will he travel in 30 minutes?

enyata [817]

Alright so basically what you have to do here is realize that 130 miles is 2 hours, so if you divide by 2, you’ll have 65 miles in one hour ,, so 6mph, and if you divide again by two, you have 32.5 miles ,, therefore he travels 32.5 miles in 30 minutes

4 0

3 years ago

What is the best definition for combining like terms

uysha [10]

Step-by-step explanation:

Combing like terms means that you combine the terms that are alike. So, if you have integers you would combine the integers. If you had a variable like x, you would combine everything with x. For instance, 2x+4+3+7x, to combine like terms add 4+3 and 2x+7x.

8 0

3 years ago

What are the solutions to the equation (x + 2)^2 = 49?

Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,

 (X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0

Find two numbers whose sum is equal to b and whose product is equal to c. Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

8 0

3 years ago

Read 2 more answers

Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximat

fenix001 [56]

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

6 0

3 years ago

Part C: Find the distance from B to E and from P to E. Show your work. (4 points)

My name is Ann [436]

Answer:

Part 1) $BE=266\frac{2}{3}\ ft$

Part 2) $PE=233\frac{1}{3}\ ft$

Step-by-step explanation:

Part 1)

<u><em>Find the distance from B to E</em></u>

To solve this problem I assume that CGRP is a parallelogram

so

Triangles CGB and PEB are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

$\frac{BG}{BE}=\frac{CB}{PB}$

substitute the values

$\frac{400}{BE}=\frac{300}{200}$

solve for BE

$BE=400(200)/300$

$BE=\frac{800}{3}\ ft$

Convert to mixed number

$BE=\frac{800}{3}\ ft=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft$

Part 2)

<u><em>Find the distance from P to E</em></u>

$\frac{CG}{PE}=\frac{CB}{PB}$

substitute the values

$\frac{350}{PE}=\frac{300}{200}$

solve for PE

$PE=350(200)/300$

$PE=\frac{700}{3}\ ft$

Convert to mixed number

$PE=\frac{700}{3}\ ft=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}\ ft$

5 0

3 years ago