Answer: The third one or C
Step-by-step explanation: That is the correct distance formula.
Answer:
y=6-5
Step-by-step explanationy
Answer: Choice A) 3x+4y = 12
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y = (-3/4)x + 3
4*y = 4*((-3/4)x+3) ... multiply both sides by 4 to clear out the fraction
4y = -3x+12 ... distribute and multiply
4y+3x = -3x+12+3x ... add 3x to both sides
3x+4y = 12
Note: this is in standard form Ax+By = C where A = 3, B = 4 and C = 12.
Step-by-step explanation:
all work is shown in pictured
Answer:
(See explanation and attachment below for further details)
Step-by-step explanation:
The parabola must satisfy the following conditions:


The expression for the x-intercepts are, respectively:
x = -3
![4 = C\cdot [(-3)^{2} - 2\cdot k\cdot (-3)+k^{2}]](https://tex.z-dn.net/?f=4%20%3D%20C%5Ccdot%20%5B%28-3%29%5E%7B2%7D%20-%202%5Ccdot%20k%5Ccdot%20%28-3%29%2Bk%5E%7B2%7D%5D)

x = 5
![4 = C\cdot [5^{2}-2\cdot k \cdot (5)+k^{2}]](https://tex.z-dn.net/?f=4%20%3D%20C%5Ccdot%20%5B5%5E%7B2%7D-2%5Ccdot%20k%20%5Ccdot%20%285%29%2Bk%5E%7B2%7D%5D)

By equalizing both expressions:



And,


The equation of parabola is:

Whose graph is included as attachment.