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.
Answer:
L = 3√5
Step-by-step explanation:
A square and a rectangle have equal areas.
Area of a square = Area of a rectangle
L² = H * W
If the dimensions of the rectangle are 15 units by 3 units,
L² = 15 * 3
L² = 45
Determine the length of the side of the square.
L = √45
L = 3√5
Answer:
Step-by-step explanation:
we know that
The amount of 2,000 miles represent 100%
If the amount is increased by 33%
then
The new percent of the amount will be
100%+33%=133%
so
using proportion
6u²*(2u-5)²-12u²*(2u-5)*(u+5)
-90u²*(2u-5)
with:
