True!
all parabolas with vertical directrix DO open to the left/right.
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:140 meters
Step-by-step explanation:1km=100m, 1.4km times 100=140
Converting to slope intercept form:-
5x - 4y = 4
-4y = -5x + 4
y = 5/4 x - 1 so the slope of the line = 5/4
Finding the line that passes through ( -8, 2) with the same slope:-
y - 2 = 5/4(x - -8) (Point-slope form)
y = 5/4x + 10 + 2
y = 5/4 x + 12 is the answer is slope intercept form
In standard form :-
4y = 5x + 48
5x - 4y = -48 is the answer is standard form
