3x-12y = 5
-x+3y = 9
First step is to make the coefficient of either x or y same.
3x-12y = 5
(-x+3y = 9)3
3x-12y = 5
-3x+9y = 27
-4y = 32
y = -8
Triangle Angle-Sum Theorem: The sum of the measures of interior angles is equal to 180°.
Then
m∠1+117°+33°=180°,
m∠1+150°=180°,
m∠1=180°-150°,
m∠1=30°.
Answer: option A
Answer:
Q'(-2 , 5)
Step-by-step explanation:
Note that:
1) When you are reflecting over the x-axis, you are changing the sign for the y.
2) When you are reflecting over the y-axis, you are changing the sign for the x.
In this case, you are reflecting over the y-axis. Change the sign of the x:
Q(2 , 5) ⇒ Q'(-2 , 5)
Q'(-2 , 5) is your answer.
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Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
_____
The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).