Answer:
(9, 3)
Step-by-step explanation:
When a point is rotated 180 degrees, you take the opposite of the coordinates.
i.e (5, 6) ---> (-5, -6)
3 years ago:
m - 3 = 3(b - 3)
m - 3 = 3b - 9
m + 6 = 3b
m/3 + 2 = b
5 years from now:
m + 5 = 2(b + 5)
m + 5 = 2b + 10
m - 5 = 2b
m/2 - 5/2 = b
combine:
m/3 + 2 = m/2 - 5/2
1. multiply by 6
2m + 12 = 3m - 15
2. add 15 - 2m to both sides
27 = m
Marry is 27 years old.
<h2>
Answer:</h2>
The statement which best describes the effect of replacing the function f(x) with g(x) is:
The graph shifts 7 units up.
<h2>
Step-by-step explanation:</h2>
The function f(x) is given by :

The function f(x) is a linear function with positive slope.
and the function g(x) is given by:

The function g(x) is a linear function with same positive slope.
Also, we know that any transformation of the type:
f(x) → f(x)+k
is a translation transformation such that it if k>0 then it is a shift k units upwards and if k<0 then it is a shift k units downward.
Here we have:
g(x)=2x+5-2+2
i.e.
g(x)=2x-2+7
i.e.
g(x)=f(x)+7
Hence, the function g(x) is a translation of the function f(x) 7 units upward.
Answer: 80 feet.
Step-by-step explanation:
You can calculate the width using two equations and solving for the side lengths.


You can then substitute the L in the first equation for the L in the second equation:


Now, you can factor this equation to solve it:

Your solutions for W are -100 and 80. Considering the width of a rectangle cannot be negative, the only possible solution is 80 feet, which makes your length 100 feet.