B. 19.8
Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84
So a times 10^n where 1≤|a|<10 and n is an integer is what i learned
so
a.
234=
2.34 times 100=
2.34 times 10²
b.
0.000052=
5.2 times 1/100000=
5.2 times 10⁻⁵
c.
-220000=
-2.2 times 100000=
-2.2 times 10⁵
d. ok, so just count the spaces moved to the left
-18.2 times 10⁻¹⁵
Answer:
x = 2, and 6
x = 2 , 6
Step-by-step explanation:
The quadratic function to analyze is: ![y = -x^2+8x-12](https://tex.z-dn.net/?f=y%20%3D%20-x%5E2%2B8x-12)
In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):
![y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0](https://tex.z-dn.net/?f=y%20%3D%20-x%5E2%2B8x-12%5C%5C0%20%3D%20-x%5E2%2B8x-12%5C%5Cx%5E2-8x%2B12%3D0)
This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".
The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:
![x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0](https://tex.z-dn.net/?f=x%5E2-8x%2B12%3D0%5C%5Cx%5E2-2x-6x%2B12%3D0%5C%5C%28x%5E2-2x%29%2B%28-6x%2B12%29%3D0%5C%5Cx%28x-2%29-6%28x-2%29%3D0%5C%5C%28x-2%29%28x-6%29%3D0)
For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).
So, there are two x-intercepts: x= 2, and 6
The length of the base 3 times the width. And we need to express the surface. I'm assuming the surface of the base. So, to get the area of the base, multiply w * l.