Answer:
a. 15 meters.
b. 20 meters.
Step-by-step explanation:
a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.
The ball will be 15 meters high.
b. The maximum height reached by the ball.
To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.
In this case, a = -5 and b = 20.
-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.
Then, we find the y-coordinate by putting 2 where it says "t".
h(2) = 20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.
Hope this helps!
Answer:
(x, y) ⇒ (-x, -y)
Step-by-step explanation:
There are a couple of ways you can go at this.
1) Rotation by 180° in either direction is the same as reflection across the origin. That reflection is identical to reflection across both the x- and y-axes, in either order, so negates both coordinates. The transformation rule is ...
(x, y) ⇒ (-x, -y)
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2) The rule for a general rotation by angle α is ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
For α = 180°, sin(α) = 0 and cos(α) = -1. This makes the rule for rotation by 180° be ...
(x, y) ⇒ (-x, -y)
Answer:
a. Same Side Interior Angles
b. Corresponding Angle
c. Alternate Exterior Angle
d. Alternate Interior Angles
e. 20
f. 70
Step-by-step explanation:
e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20
f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70
A=+ or - 5 bc -5x-5 or 5x5 equals to 25
Answer:
12/35
Step-by-step explanation:
Multiply both numerators and denominators.
2/5 * 6/7
=12/35
