Answer:
x = 3, y = -2, and z = 4
Step-by-step explanation:
x + y + z = 5 -2x - 3y + 2z = 8
3x - y - 2z = 3 x + y + z = 5....multiply by 3
---------------------add ----------------------------
4x - z = 8 -2x - 3y + 2z = 8
3x + 3y + 3z = 15
--------------------------- add
x + 5z = 23
4x - z = 8
x + 5z = 23....multiply by -4
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4x - z = 8
-4x - 20z = - 92 (result of multiplying by -4)
------------------------add
-21z = - 84
z = -84/-21
z = 4 <=====
4x - z = 8 x + y + z = 5
4x - 4 = 8 3 + y + 4 = 5
4x = 8 + 4 y + 7 = 5
4x = 12 y = 5 - 7
x = 12/4 y = -2 <====
x = 3 <====
The answer to the question is d
Answer:
-2/15
Step-by-step explanation:
8/15-2/3
8/15-10/15
-2/15
Common Denominator
I'm assuming the sequence is: -320, 80, -20, 5
Divide each term by the previous term to get the common ratio r
r = (term 2)/(term 1) = 80/(-320) = -1/4
r = (term 3)/(term 2) = -20/80 = -1/4
r = (term 4)/(term 3) = 5/(-20) = -1/4
No matter which term you pick (as long as it's not the first one) dividing it by the previous term leads to -1/4 or -0.25 as the common ratio
Answer: -1/4
It seems like none of the answer choices have -1/4 but it could be choice A was supposed to show "-1/4" instead of "-14"? Perhaps the division sign didn't show up for some reason?
Answer:
(x + 3)² + (y - 1)² = 80
Step-by-step explanation:
Circle equation: (x - h)² + (y - k)² = r²
We are given <em>h</em> and <em>k</em>, so we just plug that in:
(x + 3)² + (y - 1)² = r²
To find <em>r</em>, we need to use distance formula: 
between the center of the circle and the point on the circle. We should get √80 as <em>r</em>. We plug that in to get our answer:
(x + 3)² + (y - 1)² = 80
