Eight after 1.5 seconds is
-16(1.5)^2 + 25(1.5) + 6
= 7.5 feet
The graph appears to cross the y-axis at y=1. This is the y-intercept. Expressed as an ordered pair, the point is (x, y) = (0, 1).
The graph appears to cross the x-axis at x=5. That means the line has dropped one unit (from y=1 to y=0) while x has increased by 5 units (from x=0 to x=5). The slope is ...
... slope = (change in y)/(change in x) = (-1)/(5) = -1/5
The slope is -1/5.
The y-intercept is 1.
_____
The slope-intercept from of the equation for the line is
... y = (-1/5)x +1
Answer:
the ball reaches a height of 64 feet after 2 sec.
The ball is in the air 4 sec.
Step-by-step explanation:
The ball is following the path of a parabola. The maximum height is at the vertex of the parabola.
Let (h, k) be the vertex. h will be the time it takes to reach the maximum height, and k will be that height.
y =
h = -b/2a = 64/(-2)(-16) = 64/32 = 2
k = -16(2)^2 + 64(2)
-16(4) + 128
- 64 + 128 = 64
V: (2, 64)
So the ball reaches a height of 64 feet after 2 sec.
Let = 0 (0 is the height when the balls hits the ground)
-16t(t - 4) = 0
t = 0 or t = 4
The ball is in the air 4 sec.
Answer:
NO solution
Step-by-step explanation:
5(3x+9)−2x=15x−2(x−5)
Step 1: Simplify both sides of the equation.
5(3x+9)−2x=15x−2(x−5)
(5)(3x)+(5)(9)+−2x=15x+(−2)(x)+(−2)(−5)(Distribute)
15x+45+−2x=15x+−2x+10
(15x+−2x)+(45)=(15x+−2x)+(10)(Combine Like Terms)
13x+45=13x+10
13x+45=13x+10
Step 2: Subtract 13x from both sides.
13x+45−13x=13x+10−13x
45=10
Step 3: Subtract 45 from both sides.
45−45=10−45
0=−35
Answer:
congruent angles just have the same measurement, no matter what the degree is.
complementary angles are = to 90 degrees
supplementary angles are = to 180 degrees