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:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= 
( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer: A) 23.9
Step-by-step explanation:
volume of a shape means the area of its base multiplied by its height
so , the base here is a right angle triangle it's area equals 1/2*b*h = 1/2*3*6=9 m² and the prism height is 2.65.
therefore the volume is 2.65*9
Answer:
8.5 pounds
Step-by-step explanation:
$ 1.78 - 1 pound
$ 15.21 - 15.21/1.78
= 8.5
6 times because 6•7=42 so it must be 6 because 7•7=49
Good luck!!
