When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

Using function notations, this can be represented as:

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

Using function notations, this can be represented as:

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

6 equilateral triangles