Answer:
Step-by-step explanation:
Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.
Let's solve this by completing the square:
x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:
(x + 1)^2 + 7 ≤ 0
Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)
Then the solutions are x = -1 + i√7 and x = -1 - i√7
There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.
Answer:
1295 in^2
Step-by-step explanation:
A rectangle of length 37 in and width 35 in has area (37 in)(35 in) = 1295 in^2
Step-by-step explanation:
(2ab-7a-4) - (7ab-4)
= 2ab - 7a - 4 - 7ab +4
(-) × (-) = (+)
(-) × (-) = (+)-(-4)= +4
then 4 will be cancelled
= 2ab - 7ab - 7a
= -5ab -7a
Answer:
AGD=180-90
=90
FGD=CGE=23
AGF=90-23
=<em><u>67degrees</u></em>
This is the concept of indices. To re-write the question as instructed we proceed as follows:
b^-6×b^11
according to the rules of indices, when we multiply the number which have the same base, we add their powers. In our case this will be:
b^-6×b^11
adding their powers we get:
b^(-6+11)
=b^5
the answer will therefore be b^5