<u>Answer:</u>
The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.
<u>Step-by-step explanation:</u>
We are given a scatter plot with a best fit line as shown on the given graph.
The equation of the best fit line is given by:
y = 0.75x + 5
So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.
Since the distance shown on the y axis is already 5 when the time started at 0 minutes.
Given :
▪︎This triangle is an isosceles triangle.
▪︎Measure of one of its legs = 6 inches
▪︎Measure of its equivalent leg
inches
▪︎Measure of its base
inches
Which means :




Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :


Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.
▪︎Therefore, the value of <u>x = 54</u>
Answer:
x = 2 sqrt(3)/3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 1 /x
x sin 60 =1
x = 1 /sin 60
x = 1 / sqrt(3)/2
x = 2 sqrt(3)/3
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have

when the hawk reaches the rabbit the value of h is equal to zero
we have


substitute

Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure