Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
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Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)
5( y + 2/5) = -13
Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:
5y + 2 = -13
Subtract 2 from both sides:
5y = -15
Divide both sides by 5:
Y = 3
The answer is y = 3
9514 1404 393
Answer:
D) Rhombus
Step-by-step explanation:
The figure is a parallelogram with equal-length sides, so is a rhombus.
Answer:
there is no gragh
Step-by-step explanation:
Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.
