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ikadub [295]
2 years ago
7

Select all the correct statements

Mathematics
1 answer:
coldgirl [10]2 years ago
3 0
Letter B and Letter C would be correct
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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♪
__________________
6 0
3 years ago
Read 2 more answers
Hey guys did you know Brainly has a very nice app with some cool camera features?
love history [14]
Yes, Brainly is a very useful app. I love helping people, and it allows me to gain some help from others when needed :)
6 0
3 years ago
You dispense a quantity of 180 tablets for a prescription written for Ibuprofen 800mg to be taken by mouth 3 times a day. How ma
kap26 [50]

You have 180 tablets right? You also have to take it three times a day.

180 pills /3 pills a day = <u>60 days</u>

<u></u>

3 0
3 years ago
Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing
icang [17]

The ansa is 256=(12+x)(12+x)

6 0
2 years ago
Celeste took a taxi. The meter said $45. She tips the driver 15%. How much money did she pay the taxi driver?
mixas84 [53]

Answer:

so I believe we can do 15% of 45, so that is 6.75.

so now we do:

 45.00

<u>+  6.75</u>

 <u><em>51.75 is your answer!</em></u>

please mark brainliest if correct!

5 0
2 years ago
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