Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:
The easiest way to find the vertex is writing the equation this way:
Being the vertex (h,k)
So first complete the square
Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y
c.
To find the x-intercept you need to replace the equation when y = 0 and get x
X is 10 take that’s known 80 degrees and the fact that it is a right angle means the whole this is 90 degrees so therefore x is 10 90=80+_
1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:
2) Note that we had to add 1 to both sides, to keep the "y "on the left.
3) Therefore, y=-9x+10 is the answer.
Answer:
120 = 15x + 45 5 hours of lessons
Step-by-step explanation:
120 is total money so that goes on one side.
45 is a one-time cost so it is on its own.
15 per hour is another cost but this one depends on a variable so it has an x.
X represents the number of hours.
You put this together to from the equation: 120 = 15x + 45.
Subtract 45 from both sides: 75 = 15x
Divide 15 from both sides: 5 = x.
X = hours so 5 hours
Answer:
The answer is -18
Step-by-step explanation:
Actually if the x2 is supposed to be x^2 then it's -10
