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Lostsunrise [7]
3 years ago
12

PLS HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer: 3rd answer choice ( 3a^2b^11)/2

Step-by-step explanation:

Move the negative exponents in the denominator up and make them positive; simplify them with the pre-existing "a"s and "b"s by adding their exponent values together, then simplify -18/-12 to get 3/2 with the exponents added on the end of the numerator

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3 years ago
1. Segment AE is 7 inches and AH is 7^/3 inches. What is the length of EH? Round to the nearest tenth.
Orlov [11]

Answer:

1.) 9.9

2.) 15.6

Step-by-step explanation:

1.) Consider triangle AEH

AEH is a right angle triangle as ∠AEH = 90°

AH is the hypotenuse of the triangle.

Applying Pythagorean theorem

AE^{2} + EH^{2} = AH^{2}

substituting values as given in the question:

7^{2} +EH^{2}=(7\sqrt{3} )^{2}\\EH^{2}=(7\sqrt{3} )^{2}-7^{2} \\EH^{2}=98\\EH=\sqrt{98}\\EH=7\sqrt{2}

∴ EH≈9.9

2.) Consider triangle CDF

CDF is a right angle triangle as ∠CDF = 90°

CF is the hypotenuse of the triangle.

Applying Pythagorean theorem

CD^{2} + DF^{2} = CF^{2}

substituting values as given in the question:

11^{2} +DF^{2}=(11\sqrt{3} )^{2}\\DF^{2}=(11\sqrt{3} )^{2}-11^{2} \\DF^{2}=242\\DF=\sqrt{242}\\DF=11\sqrt{2}

∴ DF≈15.6

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3 years ago
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