Answer:
y=-3(x-9)
Step-by-step explanation:
Point slope form is y-y1=m(x-x1)
x1=9
y1=0
m=-3
plug it all in!
y-0=-3(x-9)
y=-3(x-9)
Hope this helps!
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
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Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
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I hope this is what you wanted.
Regards,
Divyanka♪
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Answer:
B. 345
Step-by-step explanation:
Hope this helps!
It would look like this: O=C=O
Hope this helps you out.
Answer:
omg
I
1. 3×3×3×3 = 81
2. 2²a³
3. (-5)³ (-5×-5×-5) = -125
4. 1
5. a^m-n
II
1. 1.6807× 10⁴
2. (7×7×7) × (2×2×2×2×2×2) = 21952
3. 32²
4. 2187
5. 803025
