Answer:
$27
Step-by-step explanation:
$45 * .40 (same thing as 40%)
$45 * .40 = 18 (this is how much 40% of $45 is)
$45 - 18 = $27 (you subtract 18 because it’s 40% off)
$27 (final answer)
Answer:
Irrational
Step-by-step explanation:
2.060060006... never ends, thus it is an irrational number
an irrational number is a number that can not be expressed by a fraction of two integers
you can tell it never ends because of the addition of ... at the end of the number
Answer:
3/7
Step-by-step explanation:
There are 7 letters in ALABAMA. And there are 4 A's in ALABAMA. So if you're trying to not get an A then you would subtract 4 from 7. Which you would get 3/7 of the letters in ALABAMA are not A.
Answer:
![\left(-34, \dfrac{33}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28-34%2C%20%5Cdfrac%7B33%7D%7B2%7D%5Cright%29)
Step-by-step explanation:
Create a linear equation for line AB and line CD
Find slope using slope formula ![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
then use point-slope form of linear equation ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
(where m is the slope and
and
are two points on the line)
<u>Line AB</u>
![m=\dfrac{-16+1}{-8+20}=-\dfrac54](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-16%2B1%7D%7B-8%2B20%7D%3D-%5Cdfrac54)
![\implies y+1=-\dfrac54(x+20)\\\\\implies y=-\dfrac54x-26](https://tex.z-dn.net/?f=%5Cimplies%20y%2B1%3D-%5Cdfrac54%28x%2B20%29%5C%5C%5C%5C%5Cimplies%20y%3D-%5Cdfrac54x-26)
<u>Line CD</u>
![m=\dfrac{0+11}{-19+9}=-\dfrac{11}{10}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B0%2B11%7D%7B-19%2B9%7D%3D-%5Cdfrac%7B11%7D%7B10%7D)
![\implies y+11=-\dfrac{11}{10}(x+9)\\\\\implies y=-\dfrac{11}{10}x-\dfrac{209}{10}](https://tex.z-dn.net/?f=%5Cimplies%20y%2B11%3D-%5Cdfrac%7B11%7D%7B10%7D%28x%2B9%29%5C%5C%5C%5C%5Cimplies%20y%3D-%5Cdfrac%7B11%7D%7B10%7Dx-%5Cdfrac%7B209%7D%7B10%7D)
To find the point of intersection, equate the equations and solve for x::
AB = CD
![\implies -\dfrac54x-26=-\dfrac{11}{10}x-\dfrac{209}{10}](https://tex.z-dn.net/?f=%5Cimplies%20-%5Cdfrac54x-26%3D-%5Cdfrac%7B11%7D%7B10%7Dx-%5Cdfrac%7B209%7D%7B10%7D)
![\implies -\dfrac{3}{20}x=\dfrac{51}{10}](https://tex.z-dn.net/?f=%5Cimplies%20-%5Cdfrac%7B3%7D%7B20%7Dx%3D%5Cdfrac%7B51%7D%7B10%7D)
![\implies x=-34](https://tex.z-dn.net/?f=%5Cimplies%20x%3D-34)
Substitute found value of x into one of the equations and solve for y:
![y=-\dfrac54(-34)-26=\dfrac{33}{2}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac54%28-34%29-26%3D%5Cdfrac%7B33%7D%7B2%7D)
Therefore, point of intersection is ![\left(-34, \dfrac{33}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28-34%2C%20%5Cdfrac%7B33%7D%7B2%7D%5Cright%29)