Answer:
Yes.
Step-by-step explanation:
Yes.
Answer: y= (x+2)² −
5
Step-by-step explanation:
The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.
Hope I helped
Answer:
Step-by-step explanation:
Factor it by first setting it equal to 0:
Now subtract 9 from both sides:
Divide both sides by 4:
Then take the square root of both sides:
x = ±
, which of course is not allowed. Therefore, we have to allow for the imaginary numbers in this solution. Knowing that,
x = ±
is an equivalent radicand, we can now replace -1 with its imaginary counterpart:
x = ±
Each one of the elements in the radicand are perfect squares, so we simplify as follows:
x = ±
And there you go!
Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Range is the y value in the ordered pair.
So the y coordinates in the ordered pairs would be 0 and 3.
Answer: B and D
