1. find equation
general solutions are:
![y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b](https://tex.z-dn.net/?f=y%20%3D%20a%20x%5E%7B2%7D%20%2Bbx%20%2Bc%20%5C%5C%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%202ax%20%2Bb)
for P(0,-11)
![-11 = 0a + 0b +c](https://tex.z-dn.net/?f=-11%20%3D%200a%20%2B%200b%20%2Bc%20)
⇒
![c = -11](https://tex.z-dn.net/?f=c%20%3D%20-11)
for p(1,-13)
![-13 = 1a + 1b -11 \\ a+b = -2](https://tex.z-dn.net/?f=-13%20%3D%201a%20%2B%201b%20-11%20%5C%5C%20a%2Bb%20%3D%20-2)
and
![0 = 2a + b \\ b = -2a](https://tex.z-dn.net/?f=0%20%3D%202a%20%2B%20b%20%5C%5C%20b%20%3D%20-2a)
solve for a and b:
![a - 2a = -2 \\ a = 2 \\ b = -4](https://tex.z-dn.net/?f=a%20-%202a%20%3D%20-2%20%5C%5C%20a%20%3D%202%20%5C%5C%20b%20%3D%20-4)
the total equation is now:
![y = 2 x^{2} -4x -11](https://tex.z-dn.net/?f=y%20%3D%202%20x%5E%7B2%7D%20-4x%20-11)
To find the x-intercept set y=0 and solve for x
Answer:
see explanation
Step-by-step explanation:
4
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( substitute in values )
=
( cross- multiply )
12(x - 1) = 72 ( divide both sides by 12 )
x - 1 = 6 ( add 1 to both sides )
x = 7
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5
The parallel line segment SV is half of RW
that is x = 7.5
SV also divides the sides RT and WT in proportion, that is
=
( cross- multiply )
10y = 24 ( divide both sides by 10 )
y = 2.4
Answer:
b
Step-by-step explanation:
just only do B
where x=0, y=2
Answer:
200 miles
Step-by-step explanation:
80 + .8x = 60 + .9x