X = 30
Y = 20
Let me know if you want me to show my work (:
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♪
__________________
Answer:
1:21
Step-by-step explanation:
Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21
1/2 of 22:
1/2 · 22 = 22/2 = 11
2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
Answer:
f=1/40
Step-by-step explanation:
5f=1/8
f=(1/8)/5
f=(1/8)(1/5)
f=1/40
