Answer:
Option 3 - The value of c is 3.
Step-by-step explanation:
Given : If 32 Superscript 2 c Baseline = 8 Superscript c + 7.
To find : What is the value of c?
Solution :
Superscript denotes the power.
32 Superscript 2 c i.e.
8 Superscript c + 7 i.e.
The equation form is .
Write the expression as,
Comparing the base,
Therefore, the value of c is 3.
So option 3 is correct.
Answer:
In 2003, the population was 59000 and the population has been growing by 1,700 people each year.
A.
The equation will be:
59000+1700x = (population 'x' years after 2003)
For x, you plug in the amount of years after 2003.
Like if it is the year 2003, the population is
= 59000
when it is year 2005, the population is
= 62400
B.
The town's population in 2007 will be :
Population = 65800
C.
=>
x = 11
Means
Hence, by year 2014 the population will be 77700.
Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.
