Answer:
1. A&C
1. E&G
2. E&F
2. B&C
3. D&H
3. C&E
Step-by-step explanation:
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Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.
Answer:
Exact: 9.42
Approx: 9
Step-by-step explanation:
The area of a circle is pi*radius^2 (pi=3.14 r=radius ^2= power of 2/squared)
The diameter is two times the radius. So, we need to divide the diameter by two for the first step of solving this.
6/2=3
Now, we know the radius is 3.
Let's square it:
3^2= 3*3
3*3=9
Now, the last step is to multiply it by pi (3.14)
3.14*3=9.42
There we go! The area is 9.42 feet!