<span>5x + 20 = -5x
5x + 5x = -20
10x = -20
x = -20/10
x = -2</span>
Answer:
x - 99 ≤ -104 → 2nd line
x - 51 ≤ -43 → 1st line
150 + x ≤ 144 → 4th line
75 < 69 - x → 3rd line
Step-by-step explanation:
Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).
x - 99 ≤ -104
+ 99 + 99
x ≤ -5
There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.
x - 51 ≤ -43
+ 51 + 51
x ≤ 8
There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.
I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.
The length of the line segment here is 13.
Distance Formula:
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13
Answer:
y - 12 = 9(x - 4)
Step-by-step explanation:
The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph. Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into y - k = a(x - h)^2, obtaining
21 - 12 = a(5 - 4), or 9 = a. With a known, we can write the desired equation:
y - 12 = 9(x - 4)
