What conclusion can you make from the information below?
2 answers:
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Answer:
Part a)
Part b)
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is
The y-intercept or initial value is
substitute
Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T
Answer:
x = 10
Step-by-step explanation:
In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?
From the attached diagram, x = PQ
We have sides:
PQ, PR and QR
PR is 12 more than twice PQ
PR = 12 + 2PQ
PR = 12 + 2x
QR is two more than 4 times PQ.
QR = 2 + 4(PQ)
QR = 2 + 4x
Hence: we solve using Triangle Inequality
The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.
Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.
PQ > PR + QR
PQ < PR - QR
Therefore:
x + 12 + 2x > 2 + 4x
3x + 12 > 2 + 4x
12 - 2 > 4x - 3x
10 = x
