x= 5 x z= 3 = 15 (4y - 2z) = 60 - -30 = 30 so its C
A+b > c as in the side lengths
The answer is d because 4+8=12 and they are 4 units away from eachother:)
Answer:
the solutions are (3, 7) and (-1, -1)
Step-by-step explanation:
Insert the " = " symbol between the two equations, obtaining:
y = x^2 - 2 = y = 2x + 1
Then x^2 - 2 = 2x + 1, or
x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.
Thus, the x values that satisfy this system are {-1, 3}.
Use y = 2x + 1 to find the corresponding y values:
y = 2(-1) + 1 = -1
and
y = 2(3) + 1 = 7
Then the solutions are (3, 7) and (-1, -1)
Let’s condense the original expression and see if that’s one of the answers
-1/2(-3/2 x + 6x + 1) - 3x
First we distribute the -1/2
((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x
3/4x - 3x - 1/2 -3x
Combine like terms
(3/4 x - 3x - 3x) -1/2
-21/4 x - 1/2
We could make this a mixed number
-5 1/4 x - 1/2
(Mixed number: 5 times 4 plus one gets the numerator)
So the answer is D