1. Combine like terms, so add 2.4 to -4.8 to get -2.4
So now you should be left with .02(x+20)-2.4=-9
2. Now eliminate the -2.4 by adding 2.4 to both sides, getting .02(x+20)=-6.6
3. Multiply everything by 50 to make x+20=-333, since 50×.02=1
4. subtract 20 from both sides to get x=-353
Answer:
The place value of 7 is Hundredth .
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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Let r represent the radius of the smaller circle and R the radius of the larger
circle.
Apply ratios: the radius of the smaller circle to the radius of the larger circle.
r: R = 3 : 7.
I complete rotation = 360 degrees.
1st:
For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees
2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations
Hope this helped☺☺
area of triangle = 1/2(4) (3) = 6 units^2
area of trapezoid = 1/2(4 + 6) (4) = 20 units^2
area of figure = 6 + 20 = 26 units^2
answer
a. 26 units^2
