Hey!
Hope this helps...
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Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...
Equation: x^2 + 10x + 12 = 36
A.) (-12)^2 + 10(-12) + 12 = 36
144 - 120 + 12 = 36
24 + 12 = 36
36 = 36
(2)^2 + 10(2) + 12 = 36
4 + 20 + 12 = 36
24 + 12 = 36
36 = 36
Since we found the answer with the first try, we already know the correct answer is A.
So...
The Correct answer is: A.) x=-12 or x=2
180537.5 simplified is 180538
Answer: The distace between midpoints of AP and QB is 
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ = 
QB =
Substituing:
AP + 2*() = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d = 
d =
Answer:
2,973 in^3
Step-by-step explanation:
3000- large section
27- smaller center cut-out
Answer:
(0,3) is the solution set for given system.
Step-by-step explanation:
Given that:
3x+4y=12 ------- eq1
2x-3y= -9 ------- eq2
Multiplying eq1 with 2 and eq2 with 3 we get:
6x + 8y = 24 --------- eq1
6x - 9y = -27 -------- eq2
Subtracting eq2 from 1 we get:
17y = 51
Dividing both sides by 17 we get:
y = 3
Putting value of 3 in eq1 we get:
3x + 4(3) = 12
3x + 12 = 12
3x = 0
Dividing both sides by 3
x = 0
So the solution set will be: (0,3)
i hope it will help you.
