97 is not a pefect square. You can obtain the square root of 97 using a calculator.
Using a calculator, square root of 97 is approximately 9.85
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.
Y = - 20x + 100
Slope is -20, y-intercept is 100.
Answer:
when
Step-by-step explanation:
Given
Required
Solve
Substitute 3 for x in
Evaluate all exponents
Answer:
see attached
angles: 39.8°, 68.2°; side: 8
Step-by-step explanation:
The triangle and its measurements are shown in the attachment.
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If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.