Answer:
x=-8 ,2
Step-by-step explanation:
x ^ 2 + 6x - 6 = 10
Add 6 to each side
x ^ 2 + 6x - 6+6 = 10+6
x ^ 2 + 6x = 16
Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side
6/2 =3 , 3^2 =9
x ^ 2 + 6x +9 = 16+9
(x+3)^2 = 25
Take the square root of each side
sqrt((x+3)^2) = ±sqrt(25)
x+3= ±5
Make 2 equations
x+3 = 5 x+3 = -5
Subtract 3 from each side
x+3-3 =5-3 x+3-3 = -5-3
x =2 x=-8
Answer:
d. 5
Step-by-step explanation:
By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
<h3>
How to get the dimensions of the base?</h3>
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer: p(-2)=9
Step-by-step explanation:
Step-by-step explanation:
2 + 3 × 6 + 4 × 3
Here, Parantheses should be put,
<u>(2 + 3) </u>× 6 + 4 × 3. (P.E.D.M.A.S) ( First Parantheses)
= 5 × 6 + 4 × 3 (Then multiplication)
= 30 + 12. (At last addition)
= 42
