The <em><u>correct answer</u></em> is:
h(t) = –16t² + 50t + 3
Explanation:
The general form of an equation such as this is h(t) = at² + v₀t + h₀, where a is the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.
We are given that the constant due to gravity is -16.
The initial velocity is 50, and the initial height is 3; this gives us the equation
h(t) = -16t² + 50t + 3
Answer:
y =-5/4x +11/2
Step-by-step explanation:
First we need to find the slope of the line
4x-5y = 10
Solve for y
Subtract 4x from each side
4x-4x-5y =-4x-10
-5y = -4x-10
Divide by -5
-5y/-5 = -4x/-5 -10/-5
y = 4/5x +2
The slope is 4/5
The slope of a line that is perpendicular is the negative reciprocal
m perpendicular = - (5/4)
We know have a slope = -5/4 and a point (2,3)
We can use the point slope form of a line
y-y1 = m(x-x1)
y-3 = -5/4 (x-2)
Distribute
y-3 =-5/4x +10/4
Add 3 to each side
y-3+3 = -5/4 x +5/2 +3
Get a common denominator
y = -5/4x +5/2 +6/2
y =-5/4x +11/2
Applying the definition of a linear pair, m∠TOS = 52°
<em>Recall:</em>
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
- m∠TOU = 128°
- m∠SOV = (4x + 8)°
m∠TOU + m∠TOS = 180° (linear pair)
128° + m∠TOS = 180°
- Subtract 128° from both sides of the equation
m∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
brainly.com/question/3768841
Add the amount of students together (21+24=45)
Divide by three to see how many will be in each group. (45/3 = 15)
15 in each group!
Answer:
Yes, it is a rational number
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
<h3>Hope it is helpful....</h3>