9514 1404 393
Answer:
A. (1, - 3/2)
Step-by-step explanation:
The coordinate of the midpoint is the average of the endpoint coordinates.
M = (A +B)/2
M = ((1, 2) +(1, -5))/2 = (1+1, 2-5)/2 = (2, -3)/2
M = (1, -3/2) . . . . . matches choice A
Answer:
5 | 0 3 6 | 5 4 7 | 5 7 8 8 | 2 4 5 6 7 7 9 | 0 1 2 3 4 6 7 9 5 | 0 = 50 49 85 86 ' is not a valid one
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Use CPCTC (Corresponding parts of congruent triangles are congruent).
Set the ratios:
![\frac{6.5}{5} = \frac{6.5 + 6.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B6.5%7D%7B5%7D%20%3D%20%5Cfrac%7B6.5%20%2B%206.5%7D%7Bx%7D)
First, simplify. Combine like terms:
![\frac{6.5}{5} = \frac{13}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B6.5%7D%7B5%7D%20%3D%20%5Cfrac%7B13%7D%7Bx%7D)
Next, cross multiply.
![5 * x * \frac{6.5}{5} = \frac{13}{x} * x * 5\\x * 6.5 = 13 * 5\\6.5x = 65\\](https://tex.z-dn.net/?f=5%20%2A%20x%20%2A%20%5Cfrac%7B6.5%7D%7B5%7D%20%20%3D%20%5Cfrac%7B13%7D%7Bx%7D%20%2A%20x%20%2A%205%5C%5Cx%20%2A%206.5%20%3D%2013%20%2A%205%5C%5C6.5x%20%3D%2065%5C%5C)
Isolate the variable, x. Divide 6.5 from both sides of the equation:
![\frac{(6.5x)}{6.5} = \frac{(65)}{6.5} \\\\x = \frac{65}{6.5}\\x = 10](https://tex.z-dn.net/?f=%5Cfrac%7B%286.5x%29%7D%7B6.5%7D%20%3D%20%5Cfrac%7B%2865%29%7D%7B6.5%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B65%7D%7B6.5%7D%5C%5Cx%20%3D%20%2010)
Check:
![\frac{5}{6.5} = \frac{x}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7Bx%7D%7B13%7D)
Plug in 10 for x (Your answer). Cross multiply, then simplify:
![\frac{5}{6.5} = \frac{10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7B10%7D%7B13%7D)
![13 * 6.5 * \frac{5}{6.5} = \frac{10}{13} * 13 * 6.5](https://tex.z-dn.net/?f=13%20%2A%206.5%20%2A%20%5Cfrac%7B5%7D%7B6.5%7D%20%3D%20%5Cfrac%7B10%7D%7B13%7D%20%2A%2013%20%2A%206.5)
![13 * 5 = 10 * 6.5](https://tex.z-dn.net/?f=13%20%2A%205%20%3D%2010%20%2A%206.5)
(True).
~
Answer:
0.25x-3 would be the answer.
Step-by-step explanation:
y = mx+b
g(x) should intersect with the y-Axis where f(x) intersects with the x-Axis so both at negative 3 making b=-3
y=mx-3
Figuring out m I can't really explain to you, but when you divide 1 by whatever f has (in this case 4) you will get the new incline needed for g
y=(1/4)*x-3
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b