Y² + 14y + 49 = 0
We know a² + 2ab + b² = (a + b)²
(y)² + 2 x 7 x y + (7)² = 0
(y + 7)² = 0
y = -7
y = -7
Correct option C
The Law of Cosines would be your best bet here, since the unknown side is opposite the known angle 110 degrees.
|AC|^2 = (8 in)^2 + (23 in)^2 - 2(8 in)(23 in)*cos 110 degrees
= 64 in^2 + 529 in^2 - (368 in^2)*(-0.342)
= 593 in^2 + 126 in ^2 approximately
= 719 in^2 approximately
Then the length of side AC is approx. √(716 in^2) = 27 in
Answer:
The boy has 28 blue pencils
Step-by-step explanation:
Given
Total pencils = 40
The ratio of red to blue= 0.15:0.35
We have to find the number of blue pencils
For that we need the sum of ratio = 0.15+0.35 = 0.5
So, the number of blue pencils = (ratio of blue/sum of ratio) * total pencils
=0.35/0.5 * 40
=0.7*40
=28 pencils
Therefore, the boy has 28 blue pencils ..
Answer:
A. associative property of addition
Step-by-step explanation:
Associative because you can add or multiply those regardless of how the numbers are grouped.
I hope this helped and have a good rest of your day!
