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lina2011 [118]
2 years ago
13

Select the letter of the best answer choice. Use 3.14 or 22/7 for π

Mathematics
1 answer:
valkas [14]2 years ago
5 0
C = 2πr
141.3 = 2(3.14)r
141.3 = 6.28r
22.5 = r
You might be interested in
The answer choices are 11 1 2.48 6
Fudgin [204]

Answer:

The ball reached its maximum height of (11\ yards) in (1\ second).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6

Now factor out the coefficient of the quadratic term:

h(t)=-5(t^2 -2t) + 6

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6

Now take the balancing term out of the parenthesis:

\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))

Simplify:

h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

(1, 11)

8 0
3 years ago
Hi could you help me please :)
yKpoI14uk [10]

Answer:

Its B

Step-by-step explanation:

I remember doing this :)

3 0
3 years ago
Chang runs each lap in 5 minutes. He will run at the most 30 minutes today. What are the possible numbers of laps he will run to
Ipatiy [6.2K]

Answer:

6

Step-by-step explanation:

all you have to do is 30 / 5 what equals 6

4 0
3 years ago
• Which of the following equations represents a line that is perpendicular to
JulsSmile [24]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 9 ← is in slope- intercept form

with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-4} = \frac{1}{4}, hence

y = \frac{1}{4} x + c ← is the partial equation of the perpendicular line

To find c substitute (4, 5) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = \frac{1}{4} x + 4 ← equation of perpendicular line → C

4 0
3 years ago
Pls i need this, it’s due today.<br> i will mark brainliest.
MArishka [77]

Answer:

Step-by-step explanation:

Y intercepts : 5,-1,3,7,1

X- intercepts: 2,3,1,-1

Its decreasing

It is a negative slope

Maximum : 7 for y

Min : -1

8 0
3 years ago
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