2(3a+8) I used photo math, and it gave me a step by step. The top steps are factor the expressions (20a+4)-(14a-12), which is (4(5a+1)-2(7a-6)
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Answer: Choice A) EF, EG, FG</h3>
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Explanation:
We'll use these two rules
- The smallest side is always opposite the smallest angle
- The largest side is always opposite the largest angle
This only applies to triangles.
EF is the smallest side because the angle G is the smallest angle.
FG is the longest side because it is opposite the largest angle E
That places EG in the middle.
The order of the sides from smallest to largest is EF, EG, FG
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = = 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
Answer:
no solution
Step-by-step explanation:
n -8 = 6+n
Subtract n from each side
n-n -8 = 6+n-n
-8 = 6
This is never true so there is no solution
a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. gives the Johanna's velocity at time . The magnitude of her velocity, or speed, is . Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by , so his acceleration is given by . We have
and at his acceleration is m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min