Answer:
x = 4.5
Step-by-step explanation:
a^2 + b^2= = c^2
4^2 + 2^ = c^2
16 + 4 = c^2
20 = c^2 --> find square root of 20 and round to nearest tenth*
4.47 = c
round up to 4.5
Answer:
y-1=
(x+8)
Step-by-step explanation:
1. y-y1=m(x-x1) (point slope form)
2. y1 is the y of your given point and x1 is the x of your given point
3. m is the slope
Answer:
x = - 12 6/7
Step-by-step explanation:
x - 12x/5= 18
Get a common denominator on the left
5/5 x -12/5x = 18
Subtract
-7/5 x = 18
Multiply each side by -5/7 to isolate x
-5/7 *-7/5 x = -5/7 *18
x = -5*18/7
x = -90/7
Changing this to a mixed number
7 goes into 90 1 2 times with 6 left over
x = - 12 6/7
(0,6)(4,3)
slope = (3 - 6) / (4 - 0) = -3/4
ur y int (where the line crosses the y axis) is (0,6)
in y = mx + b form, the slope will be in the m position and the y int will be in the b position.
Therefore, ur equation is : y = -3/4x + 6 <==
<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>
