The dimensions of the rectangle would be (6-2) x (7-0) = 4 x 7
That makes the area (4)(7) = 28.
That makes the perimeter (7+4)(2) = 22
That makes the diagonal sqrt((7^2)+(4^2)) = sqrt(49+16) = sqrt(65)
7/8(x-1/2)= -49/80
Multiply the bracket by 7/8
7/8x-7/16= -49/80
Move -7/16 to other side. Sign changes from -7/16 to +7/16
7/8x-7/16+7/16= -49/80+7/16
7/8x= -49/80+7/16
Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.
7(5) / 16 (5)
= 35/80
7/8x= -49/80+35/80
7/8x= -14/80
Reduce -14/80 , divide by 2
(-14) /2=7 , 80/2= 40
-14/80= -7/40
7/8x= -7/40
Multiply by 8/7
7/8x*8/7= -7/40 * 8/7
Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.
x= -1/5
Answer: x= -1/5 - G.
32-20 = 12
14-2 = 12
so the input is 12 more than the output
so 6+12 = 18
and
-10-12 = -22
4 Feet and about 9 inches
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
3√64 3√a^6 3√b^7 3√c^9
Calculate
4 3√a^6 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^6/3 3√b^7 3√c^9
Simplify 6/3 to 2
4a^2 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^2b^7/3 3√c^9
Use this rule: (x^a) = x^ab
4a^2b^7/3 c^9/3
Simplify 9/3 to 3
<h2><u>
Answer: B. 4a^2b^2c^3(3√b)</u></h2>
<u><em>Question Number 2.</em></u>
Use this rule: √ab = √a√b√120√x
Simplify √120 to 2√30
2√30√x
Simplify
<h2><u>
Answer: A. 2√30x</u></h2>