Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
Write and solve an equation of ratios:
x 9
---- = ----
16 x
Cross mult., we get x^2 = (16)(9)
Taking the sqrt of both sides, we get x = plus or minus (4)(3), or
x= plus or minus 12
Since x is measure of distance here, omit the -12 result. x = +12 units
Answer:k=1,k=-2,k=
Step-by-step explanation:
Given two vectors


Distance between them is given by

squaring both side



k=1

angle between u and v is 90 i.e. orthogonal

=0
2+k=0
k=-2

angle between u & v is 





=0
k=
<em>Answer:</em>
The exact form is 5/44 and decimal form is .1136
<em>Step-by-step explanation:</em>
Divide by a fraction and multiply by its reciprocal
5/8 * 2/11
Cancel the common factor 2
5/4 * 1/11
Multiply 5/4 and 1/11
<em>5/4(11)</em>
The result is
<em>5/44 or .1136</em>
Answer:
x>-1.25
Step-by-step explanation:
3(5x-10)<30x
15x-20<30x
-20<15x
-20/15<x
-1.25<x
x>-1.25