Answer: this was a mistake, misclick
Step-by-step explanation:
- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent: 
Next, foil -2(x^2+2x+1): 
Next, combine like terms and <u>your final answer will be:
</u>
Answer: m = 0
Step-by-step explanation:
Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x
y1= 1, y2 = 1, x1 = 7, x2 = -2
Substitute for those values in the equation above
m = 1 -1/-2 - 7
= 0/-9
Therefore,
m = 0
The slope of the line passing through those coordinates = 0
Answer:
6 runners
Step-by-step explanation:
Each runner ran 7.5 km. If there were n runners, then (7.5 km)n = 45 km.
Solve this for n by dividing 7.5 km into 45 km:
n = 6
There were 6 runners.
Step-by-step explanation:
here's the answer to your question