Multiply each term by a^2b^2:-
b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2 = a^2b^2 - a^2x^2
Now divide both sides by b^2
y^2 = a^2 - a^2x^2 / b^2 = a^2 (1 - x^2/b^2)
take positive square root ( because y > 0)
y = a sqrt(1 - x^2/b^2)
Answer:
B) -125a^11
Step-by-step explanation:
(-5a^2)^3·a^5 = (-5)^3·a^6·a^5
= (-5)^3·a^(2·3)·a^5
= (-5)^3·a^6·a^5
= -125·a^(6+5)
= -125·a^11 . . . . matches choice B
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
6(-5n+7)=0
We simplify the equation to the form, which is simple to understand
6(-5n+7)=0
Reorder the terms in parentheses
+(-30n+42)=0
Remove unnecessary parentheses
-30n+42=0
We move all terms containing n to the left and all other terms to the right.
-30n=0-42
We simplify left and right side of the equation.
-30n=-42
We divide both sides of the equation by -30 to get n.
n=1.4
Hope this helps!
Step-by-step explanation:
<em>hope</em><em> it's</em><em> helpful</em><em> for</em><em> you</em>