The initial value is 21 and rate of change is 16 pages per week
<em><u>Solution:</u></em>
Given that After writing part of his novel, Thomas is now writing 16 pages per week
After 4 weeks, he has written 85 pages.
Given that assume the relationship to be linear
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c
y = mx + c
where "y" is the number of pages written after 4 weeks
x = 4 weeks and m = 16 pages
Therefore,
85 = 16(4) + c
85 = 64 + c
c = 85 - 64
c = 21
Therefore, initial value is 21 and rate of change is 16 pages per week
In order to subtract fractions, we must find a common denominator, then subtract the numerators.
The common denominator (LCM(3, 5)) is 15.
We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.
We get 
.
All we need to do now is subtract the numerators: 
.
The answer is 14/15.
Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths
Step-by-step explanation:
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer:
12x9y9
Step-by-step explanation:
( 4x3y3 ) 3
= 4x ⋅ 3 ⋅ 3y ⋅ 3 ⋅ 3 ⋅ 3
= 12x9y9
