For this question you can say:
154/11 = 252/?
so ? is the hours she would work:
252*11/154 = 18 hours :)))
i hope this is helpful
have a nice day
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:
15.09
Step-by-step explanation:
with reference angle 28°
perpendicular (p) = 8
base (b) = x
Now
tan 28° = p / b
0.53 = 8 / x
x = 8 / 0.53
x = 15.09
It means you have to find what number equals 36 but multiplying with 2
Step-by-step explanation: So when graphing this problem, we start at -3 on our number line with an open dot because <em>k</em> is less than but not equal to -3. I have shown this in the image attached below.
We then draw an arrow going to the left to represent all number less than -3.
Finally, we put our answer in set notation which is shown below.
{K: k < -3}
All this means is that if we take any number less than -3, this will be a solution for the inequality <em>k < -3</em>.