Answer:
A
Step-by-step explanation:
Given
- k - (- 8k + 7) ← distribute parenthesis by - 1
= - k + 8k - 7 ← collect like terms
= 7k - 7 → A
Answer:
2-3x=-6
We simplify the equation to the form, which is simple to understand
2-3x=-6
We move all terms containing x to the left and all other terms to the right.
-3x=-6-2
We simplify left and right side of the equation.
-3x=-8
We divide both sides of the equation by -3 to get x.
x=2.66666666667
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Answer:
t ≈ 0.590 s (ascent); 5.532 s (descent)
Step-by-step explanation:
We are interested in the values of t when s=16.
s = 30t -4.9t²
4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form
The quadratic formula can be used to find the solutions:
t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))
t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch
a) It will take 0.590 seconds to reach 16 m height initially.
b) It will take 5.532 seconds to return to 16 m height on descent.
Answer:
x = 155°
Step-by-step explanation:
Adjacent angles of a parallelogram are supplemenary angles . Supplemwntary angles are the angles whose sum is 180°. So,
KGH + JKG = 180°
=> 25° + x° = 180°
=> x = 180 - 25 = 155°
This is a quadratic whose graph will be the shape of a U.
when x = 0 y = 0 so it will pass through the origin ( the point (0,0).
Plot a few more points - say when x = 1 and x = -1 . Also when x = 3 and x = 3
For example when x = 1 y will be -1 - 1^2 = 0 giving the point (1, 0)
Note the minimum point will be (0.5, -0.25)
