Answer:
75
Step-by-step explanation:
In this case, segment XZ is congruent to segment CA
Congruent triangles mean that both of those triangles have the exact length in all three sides, and had same three angles, which means that we just need to follow the order to find out which segment is congruent when comparing both triangles
<span>A - b</span> - C
X - y - Z
Answer:
<h3>After 0.75 seconds the ball would reach it's maximum height of 16 feet.</h3>
Step-by-step explanation:
We are given a quadratic function for height of the ball after T seconds.
We need to find the time T when ball would reach at it's maximum height and also maximum height of the ball.
In order to find the maximum height of the ball, we need to find the x-coordinate of the vertex.
x-coordinate of the vertex is given by formula
x = .
For the given quadratic a=-16 and b= 24.
Plugging a=-16 and b= 24 in above formula of x-coordinate of the vertex.
.
Now, plugging x=0.75 in given quadratic , we get
= -16(0.5625)+18+7
= -9+25
=16.
<h3>Therefore, after 0.75 seconds the ball would reach it's maximum height of 16 feet.</h3>
Answer: (7, 20)
Concept:
There are three general ways to solve systems of equations:
- Elimination
- Substitution
- Graphing
Since the question has specific requirements, we are going to use <u>substitution </u>to solve the equations.
Solve:
<u>Given equations</u>
y = 3x - 1
2x + 6 = y
<u>Substitute the y value since both equations has isolated [y]</u>
2x + 6 = 3x - 1
<u>Add 1 on both sides</u>
2x + 6 + 1 = 3x - 1 + 1
2x + 7 = 3x
<u>Subtract 2x on both sides</u>
2x + 7 - 2x = 3x - 2x
<u>Find the value of y</u>
y = 3x - 1
y = 3(7) - 1
y = 21 - 1
Hope this helps!! :)
Please let me know if you have any questions
Answer:
3m2(-6m3)
since it's a term you have to multiply it by the number in bracket
6m(-6m3)
6m(-18m)
-108m²