5x(6+2) because 6+2=8 ans 5x8=40
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer:
224 7/10 is a mixed fraction ..so first we convert it into an improper fraction ...
=> for that follow these steps ...
=> 224 X 10 + 7
=> 2247/10
so now to get in decimals ..we divide 2247 by 10..
=> 224.7 ...
so here we got 224 7/10 in its decimal form ...
Step-by-step explanation:
hope that helps :))
Answer:

Step-by-step explanation:
The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

We have the points P(-6, 3) and Q(9, -11).
Substitute:

Answer:
(9 x - 7 y) (9 x + 7 y)
Step-by-step explanation:
Factor the following:
81 x^2 - 49 y^2
Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.
81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:
(9 x)^2 - (7 y)^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):
Answer: (9 x - 7 y) (9 x + 7 y)