23. 21.25
25. 31.3 or 31.4 can't tell from that picture angle.
The time taken for the ball to fall a distance of 10feet is 1.25secs
Given the function modeled by the height expressed as:
f(t) =-16t² + 35
In order to determine the time taken by the all to fall a distance of 10 feet, hence;
f(t) = 10
10 = -16t² + 35
-16t² = 10 - 35
-16t² = -25
-t² = -25/16
t² = 25/16
t = √25/16
t = 5/4
t = 1.25secs
Hence the time taken for the ball to fall a distance of 10feet is 1.25secs
Learn more here: brainly.com/question/13881652
Answer:
OAB is 90°
Explanation -
Given - A circle with centre O
According to the theorem , The tangent of a circle and the line of tangency make an angle of 90°
Answer:
The solution is (-2, 5, 3)
Step-by-step explanation:
2x + 3y - 4z = -1
2(-2) + 3(5) - 4(3) = -1
-4 + 15 - 12 = -1
-16 + 15 = -1
-1 = -1
x - 2y + 5z = 3
-2 - 2(5) + 5(3) = 3
-2 - 10 + 15 = 3
- 12 + 15 = 3
3 = 3
-4x + y + z = 16
-4(-2) + 5 + 3 = 16
8 + 5 + 3 = 16
16 = 16
Therefore, (-2, 5, 3) is a solution.
2x + 3y - 4z = -1
2(-3.6) + 3(0.2) - 4(1.4) = -1
-7.2 + 0.6 - 5.6 = -1
-12.8 + 0.6 = -1
-12.2 = -1
x - 2y + 5z = 3
-3.6 - 2(0.2) + 5(1.4) = 3
-3.6 -0.4 + 7 = 3
-4 + 7 = 3
3 = 3
-4x + y + z = 16
-4(-3.6) + 0.2 + 1.4 = 16
14.4 + 0.2 + 1.4 = 16
16 = 16
(-3.6, 0.2, 1.4) is not a solution.
2x + 3y - 4z = -1
2(2) + 3(5) - 4(-3) = -1
4 + 15 + 12 = -1
31 = -1
x - 2y + 5z = 3
2 - 2(5) + 5(-3) = 3
2 - 10 - 15 = 3
2 - 15 = 3
13 = 3
-4x + y + z = 16
-4(2) + 5 + -3 = 16
-8 + 5 - 3 = 16
-11 + 5 = 16
-6 = 16
(2, 5, -3) is not a solution.
2x + 3y - 4z = -1
2(4) + 3(-7) - 4(-3) = -1
8 - 21 + 12 = -1
-21 + 20 = -1
-1 = -1
x - 2y + 5z = 3
4 - 2(-7) + 5(-3) = 3
4 + 14 - 15 = 3
18 - 15 = 3
3 = 3
-4x + y + z = 16
-4(4) - 7 - 3 = 16
-16 - 7 - 3 = 16
-26 = 16
(4, -7, -3) is not a solution.
Answer:
rises down 4 and moves forward 4
