I need help with geometry

Mathematics

1 answer:

lesya [120]3 years ago

6 0

The answer is B

See if we shift pt C by one box upwards and 3 box rightward we reach pt C' , each box represent 2 units so the translation is x--> x+6
And y--> y+2
Answer --> b

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Please help it's due today. Also please don't help if you don't know.

zhannawk [14.2K]

Answer:

D) $8g^{6} h^{4} k^{12} -h^{25}k^{15}$

Step-by-step explanation:

You have to use the laws of exponents to solve this:

Power of a Power: $(a^{m} )^{n} = a^{mn}$ . In this case, $(4g^{3} h^{2} k^{4} )^{3}$ , all of the numbers in the parenthesis need to be multiplied to the power of 3: $4^{3} g^{9} h^{6} k^{12}$ .

Quotient of Powers: $\frac{a^{m} }{a^{n} } = a^{m-n}$ . In this case, $\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }$ , all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): $8g^{6} h^{4} k^{12}$ .

Use the Power of a Power again for the expression at the right: $(h^{5} k^{3} )^{5}$ . You get: $h^{25} k^{15}$ . Keep the subtraction/negative sign where it is.