Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Answer:
perimeter- 36 in.
area- 77 
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)
Answer:

Step-by-step explanation:
Using the product to sum formula
sinxcosy =
[ sin(x + y) + sin(x - y) ] , then
2sinxcosy = sin(x + y) + sin(x - y)
Given
2sin75°cos15° ← with x = 75 and y = 15 , then
= sin(75 + 15) + sin(75 - 15)
= sin90° + sin60°
= 1 + 
= 
For the axis of symmetry it will be -b/2a but in this case the axis of symmetry is going to be y=4. the x intercept will be the roots (2,0) and (6,0) and for the y intercept it will be (0,3) since the parabola crosses the y axis at (0,3)
I don't have my calculator handy. But use an online scientific calc. It will hold those digits. And most calculators tht are good will