Answer:
15 - 9
Step-by-step explanation:
3[( 3x - 7x plus 1) - (x plus 4)]
3[(-4x plus 1) - x-4
3[-4x plus 1 -x-4
3[-4x-x plus 1-4]
3[fivex -3]
fifteen x - 9
1. 32u is the same as A, B and D but not C
2. True because 32 less than s is the same as s take away 32
<span>f(x) = one eighth (x - 2)^2 - 1
Since a parabola is the curve such that all points on the curve have the same distance from the directrix as the distance from the point to the focus.With that in mind, we can quickly determine 3 points on the parabola. The 1st point will be midway between the focus and the directrix, So:
(2, (1 + -3)/2) = (2, -2/2) = (2,-1).
The other 2 points will have the same y-coordinate as the focus, but let offset on the x-axis by the distance from the focus to the directrix. Since the distance is (1 - -3) = 4, that means the other 2 points will be (2 - 4, 1) and (2 + 4, 1) which are (-2, 1) and (6, 1). The closest point to the focus will have the same x-coordinate as the focus, so the term will be (x-2)^2. This eliminates the functions "f(x) = -one eighth (x + 2)^2 - 1" and "f(x) = -one half (x + 2)^2 - 1" from consideration since their x term is incorrect, leaving only "f(x) = one eighth (x - 2)^2 - 1" and "f(x) = one half (x - 2)^2 + 1" as possible choices. Let's plug in the value 6 for x and see what y value we get from squaring (x-2)^2. So:
(x-2)^2
(6-2)^2 = 4^2 = 16
Now which option is equal to 1? Is it one eighth of 16 minus 1, or one half of 16 plus 1?
16/8 - 1 = 2 - 1 = 1
16/2 + 1 = 8 + 1 = 9
Therefore the answer is "f(x) = one eighth (x - 2)^2 - 1"</span>
You take the length of the side and divide it by 2.
Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
We have the slope 
and the point 
.
Substitute:
- point-slope form
Convert to the slope-intercept form (y = mx + b):
<em> use the distributive property</em>
<em>add 4 to both sides</em>
- slope-intercept form
