Answer:
8/12
Step-by-step explanation:
Answer:
The expression representing the width is 3+2L
The width is 9ft
Step-by-step explanation:
Area of a rectangle = Length×width
A = L × W...(1)
Let the length be represented as L
Since the width of the rectangle is 3feet longer than two times its length, this is expressed as:
First, width is twice as long as the length i.e W = 2L
If the resulting width is now 3 feet longer, the final width of the rectangle will be expressed as:
W = 3+2L...(2)
Area (A) = 27ft
Substituting equation 2 into 1, we have;
A = L(3+2L)
A = 3L+2L²
27 = 3L+2L²
2L²+3L-27 = 0
Factorizing the resulting equation
(2L²+9L)-(6L-27) = 0
L(2L+9)-3(2L+9) = 0
L-3 = 0 and 2L+9 = 0
L = 3 and L = -9/2
Disregarding the negative value and substituting L = 3 into equation 2 to get the width
W = 3+2(3)
W = 3+6
W = 9ft
Answer:
.018, 1.8, 18, 18
Step-by-step explanation:
ascending means going from smallest to largest, so you order the numbers from smallest to largest
(Answer: 120) angle EHF = 90 degrees+30 degrees=120 angle
Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
