Answer:
0.75
Step-by-step explanation:
Answer: <u>24 years</u>
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
<u>23.5 rounded to the nearest year is 24</u>
Answer:
Option A) The function is even because it is symmetric with respect to the y-axis.
Step-by-step explanation:
We are given a graph of the function.
We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.
Symmetry around y-axis
- The y-axis acts as the line of symmetry for the given graph.
- A graph is said to be symmetric about the y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.
Even Function:
- A function is said to be even if

- A function f is even if the graph of f is symmetric with respect to the y-axis
Odd function:
- A function is said to be odd if

- A function f is even if the graph of f is symmetric with respect to the x-axis.
Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.
Option A) The function is even because it is symmetric with respect to the y-axis.
Answer:
A. 3.5
Step-by-step explanation:
Given that AB is parallel to A'B', therefore,
CB/CB' = CA/CA'
CB' = 7
CB = CB' + BB' = 7 + BB'
CA' = 6
CA = CA' + AA' = 6 + 3 = 9
Plug in the values
(7 + BB')/7 = 9/6
(7 + BB')/7 = 3/2
Cross multiply
2(7 + BB') = 7(3)
14 + 2BB' = 21
Subtract 14 from both sides
2BB' = 21 - 14
2BB' = 7
Divide both sides by 2
BB' = 7/2
BB' = 3.5
Answer:
The shortest side = 5
Step-by-step explanation:
Call one side = a
The middle side = b
the hypotenuse = c
a^2 + b^2 = c^2
a^2 + b^2 = 13^2
a^2 + b^2 = 169
a + b + c = 30
a + b + 13 = 30
a + b = 17
b = 17 - a
a^2 + b^2 = 169
a^2 + (17 - a)^2 = 169
a^2 + (289 - 34a + a^2) = 169
a^2 + a^2 - 34a + 289 = 169 Subtract 169 from both sides
2a^2 - 34a + 289 - 169 = 0
2a^2 - 34a + 120 = 0 Divide by 2
a^2 - 17a + 60 = 0
This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60
(a - 5) * (a - 12) = 0 Both give you positive answers. You only want the shortest side
a - 5 = 0
a = 5 Is 5 the shortest side?
a - 12 = 0
a = 12 Yes 5 is the shortest side.