Answer:
(7x-3)/-1
Step-by-step explanation:
swap the x and y and then move the y by itself
x=(3-y)/7
7x=3-y
7x-3=-y
(7x-3)/-1=y
1 step (B): raise both sides of the equation to the power of 2.
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2 step (A): simplify to obtain the final radical term on one side of the equation.
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3 step (F): raise both sides of the equation to the power of 2 again.
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4 step (E): simplify to get a quadratic equation.
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5 step (D): use the quadratic formula to find the values of x.
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6 step (C): apply the zero product rule.
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Additional 7 step: check these solutions, substituting into the initial equation.
Answer:
The dimension are 20 ft by 15 ft
Step-by-step explanation:
A = l*w
P = 2(l+w)
we know the area = 300
and the perimeter = 70
300 = lw
70 = 2 (l+w)
divide by 2
70/2 = 2/2 (l+w)
35 = l+w
subtract w
35-w = l+w-w
35 -w =l
substitute this into 300 = lw
300 = (35-w) * w
distribute
300 = 35w - w^2
subtract 300 from each side
0 = -w^2 +35w - 300
divide by -1
0 = w^2 - 35w + 300
factor
0= (w-15) (w-20)
using the zero product property
w-15 = 0 w-20 =0
so w=15, w=20
if w=15 then l=35 -w l = 35-15 l=20
if w=20 then l=35-w l= 35-20 = 15
The dimension are 20 ft by 15 ft
Answer:
9/10
Step-by-step explanation:
you find the lowest common denominator in this case is 10
then you take 1/2 and multiply it by 5 both the bottom and top and then you should get 5/10
next you do the same with 2/5 but this time to the get the denominator to 10 you multiply by 2 again multiply both bottom and top and you should get 4/10
now you just add 4/10 and 5/10 together and you get 9/10 or 0.9 as a decimal
