slope (m) = rate. $40 per hour is the rate, so m = 45
y-intercept (b) = one time fee. $45 is the flat rate which is the one time fee, so b = 45
y = mx + b
y = 40x + 45
Answer: A
Answer: X is equal to 55.
Step-by-step explanation:
You can determine that the triangle is an isosceles triangle because of its side lengths.
Therefore you know that value of the angle it's not asking for is also x. Since a triangle's angles always measures 180. You can say that 180 = 70 + 2x.
You can now solve for x.
180 = 70 + 2x
-70 -70
110 = 2x
----------------
2
55 = x
Answer:
Part 1)
-----> ![(x,\frac{\sqrt{110}}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29)
Part 2)
---->
Part 3)
----> ![(x,\frac{5}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B5%7D%7B11%7D%29)
Part 4)
---> ![(x,\frac{9}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B9%7D%7B11%7D%29)
Step-by-step explanation:
we know that
In the unit circle
The coordinates of a point have the following rule
![x^{2} +y^{2} =r^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3Dr%5E%7B2%7D)
where
(x,y) are the coordinates of the point a r is the radius
but remember that in a unit circle the radius is equal to 1
so
![x^{2} +y^{2} =1](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3D1)
![x^{2}=1-y^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%3D1-y%5E%7B2%7D)
![x=(+/-)\sqrt{1-y^{2}}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-y%5E%7B2%7D%7D)
<em><u>Find the x-coordinate of each case</u></em>
Part 1) we have the point
![(x,\frac{\sqrt{110}}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{\sqrt{110}}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B%5Csqrt%7B110%7D%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{110}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B110%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{11}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B11%7D%7B121%7D%29)
Part 2) we have the point
![(x,\frac{7}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B7%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{7}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B7%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{49}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B49%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{72}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B72%7D%7B121%7D%29)
Part 3) we have the point
![(x,\frac{5}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B5%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{5}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B5%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{25}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B25%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{96}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B96%7D%7B121%7D%29)
Part 4) we have the point
![(x,\frac{9}{11})](https://tex.z-dn.net/?f=%28x%2C%5Cfrac%7B9%7D%7B11%7D%29)
so
The y-coordinate is
Find the value of the x-coordinate
substitute
![x=(+/-)\sqrt{1-(\frac{9}{11})^{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B11%7D%29%5E%7B2%7D)
![x=(+/-)\sqrt{1-(\frac{81}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B1-%28%5Cfrac%7B81%7D%7B121%7D%29)
![x=(+/-)\sqrt{\frac{40}{121})](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B%5Cfrac%7B40%7D%7B121%7D%29)
To find the fraction inbetween,
1. Add up the 2 fractions
2 Divide it by 2
Step (!) Add them up:
2/3 + 1 1/3 = 2
Step (2) Divide the answer by 2:
2÷ 2 = 1
Answer: The number between 2/3 and 1 1/3 is 1.
Answer:
$12
Step-by-step explanation:
30x.4=12 dollars for fuel