Please help due today in 20 minutes!!!!

Mathematics

2 answers:

Nikitich [7]3 years ago

3 0

Hey! i definitely recommend you downloading socratic you can scan 1 question at a time and it will give you the answer. it will show up like this then press cymath math problem then it tells you how it got the answer. i promise you this isn’t some type of bot stuff but if you more questions on how to use the app lmk! i have a A+ in math bc of this app

valentinak56 [21]3 years ago

3 0

Answer:

11. 3

12. 78.74

13. 30

14. 69.74

15. 48

16. 7

17. 36.9

18. 69.5125888

Step-by-step explanation:

Used a calculator.

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It's A

Step-by-step explanation:

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I can't figure this out

andriy [413]

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

____________________

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)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
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