Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
D
Step-by-step explanation:
For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!
This right answer is D.
because -65 divided by -13 is 5
Answer:
(11, 12)
Step-by-step explanation:
<u>Mid point coordinates:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:</u>
- x₂ = 2x - x₁ = 2*10 - 9 = 11
- y₂ = 2y - y₁ = 2*4 - (-4) = 12
<u>So the other endpoint is: </u>(11, 12)
A. The volume is 8 times more
b. The volume is 27 times more
c. The volume is 64 times more
