Remember that the y-intercept is where the function has a value of 
and the x-intercept is where the function has a value of 
. Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.
<u>x-intercept</u>
Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for 
.
The x-value of the x-intercept is 
and the y-value is 0, meaning that the x-intercept has coordinates 
.
<u>y-intercept</u>
Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for 
:
The y-value of the y-intercept is -3, meaning that the y-intercept of the function is 
.
Answer:
hey bestie its B
Step-by-step explanation:
72
1÷9 = 111.... 2÷9 = 222.... and so on.
The proof is a little more difficult.
Think of all those repeating ones as a variable - let's call it n
so n= .111111......... repeating
How can we get a single one of those ones to jump across the decimal and be on the left side. We can multiply all of those ones by 10.
10n (ten times the original number) = 1.1111111 (ones still go on forever)
Now here is the interesting part. Let's take all the repeating ones in the first number we made away from the second number.
10n = 1. 1111111......
<u>- n = . 1111111....
</u>9n = 1 (all of the repeaters are gone and only the one we moved to the left
of the decimal is left)
Now let's divide by 9 to get n by itself
<u>9n</u> = <u>1
</u>9 9
And voila! n = 1/9
So to repeat 72.111... written as a fraction is 72
With the given triangles ΔRST and ΔXYZ, it is equilateral triangles and the ratio of the perimeter is 1:3
Perimeter ΔRST/ Perimeter ΔXYZ = 1/3
We are asked to solve for the area of ΔXYZ when the area of ΔRST is 10.825 in². The solution is shown below:
Area ΔRST/ Area ΔXYZ = 1/3
10.825 / Area ΔXYZ = 1/3
Area ΔXYZ = 3* 10.825
Area ΔXYZ= 32.475 in²
