You complete the square
Vertex form is
![f(x) = (x - h)^2 + k~~~~~~~the~~vertex ~~is~~(h, k)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%20h%29%5E2%20%2B%20k~~~~~~~the~~vertex%20~~is~~%28h%2C%20k%29)
so break it into parts
![f(x) = (x^2 + 6x + ??) + 8 - ??](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%5E2%20%2B%206x%20%2B%20%3F%3F%29%20%2B%208%20-%20%3F%3F)
to keep the equation in balance to add and subtract the same value
so value ?? is
![?? = ( \frac{6}{2} )^2](https://tex.z-dn.net/?f=%3F%3F%20%3D%20%28%20%5Cfrac%7B6%7D%7B2%7D%20%29%5E2%20)
then factor the perfect square
Answer:
Step-by-step explanation:
A car leave P and drives 3km North to Q. From Q it's drives 15km on a bearing North 45degree East to R. Find the distance and bearing of R from P
No one can answer this question with out showing the dot plot
Answer:
-3
Step-by-step explanation:
An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:
v = 4 -7 = -3
The value of v is -3.
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<em>Alternate solutions</em>
You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.
y = m(x -h) +k
y = -7(x -9) +4
For x=10, the value of y is ...
v = -7(10 -9) +4 = -7 +4
v = -3
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5