Answer:
There is a constant rate of change of both money raised and distance, so the function is linear. But the variables do have a proportional relationship, and the graph includes the point (0, 0)—0 dollars will be raised by a person who runs 0 miles. So this is a proportional function.
Step-by-step explanation:
A) 2 1/3 = 7/3
7/3 / 1/4 = 7/3 x 4/1 = 28/3 = 9 and 1/3
b) 4 2/5 = 22/5
1 1/5 = 6/5
22/5 / 6/5 = 22/5 x 5/6 = 110/30 = 3 and 2/3
Answer:
13 seconds.
Step-by-step explanation:
Given
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
becomes
Divide through by -4.9
Reorder the expression
Split
or 
This gives:
or 
But time can't be negative, So:
Answer: angle 1=129 degrees
Step-by-step explanation:
180 - 99 - 30 = 51
all the angles of a triangle should add up to be 180 degrees
51+99+30=180
angle 1 is supplementary to the angle that is 51 degrees so it would be 129 degrees. 180-51=129
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
