Answer:
(Choice B)
Step-by-step explanation:
(7, 0)
7 - 7 = 0
Here, we can see that when 7 is subtracted from x, we get 0 (our y)
Hope this helps!
Answer:
Hey there!
The slope is rise over run, or 1/-4.
This gives us the slope, which is -1/4.
Hope this helps :)
Answer:
. It means AC is perpendicular to AB.
Step-by-step explanation:
Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using distance formula we get
![AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%285-%28-2%29%29%5E2%2B%28-2-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%7D%3D7)
![BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%28-2-5%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%3D%5Csqrt%7B625%7D%3D25)
![AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%28-2-%28-2%29%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B24%5E2%7D%3D24)
According to Pythagoras theorem
![hypotenuse^2=perpendicular^2+base^2](https://tex.z-dn.net/?f=hypotenuse%5E2%3Dperpendicular%5E2%2Bbase%5E2)
![(BC)^2=(AC)^2+(AB)^2](https://tex.z-dn.net/?f=%28BC%29%5E2%3D%28AC%29%5E2%2B%28AB%29%5E2)
Perpendicular = AC
Base = AB
It means AC is perpendicular to AB.
Hence proved.
Answer:
The burgers cost $2.50 and the cookies cost $1.25.
Step-by-step explanation:
Let b represent burgers and c represent cookies.
2b + 2c = 7.50
4b + 3c = 13.75
<u><em>Step 1:</em></u> Use one of the two equations and isolate one of the variables.
2b + 2c = 7.50
- 2c -2c
b =
-
c
b = 3.75 - c
<u><em>Step 2:</em></u> Plug what you get for b into the second equation.
4(3.75 - c) + 3c = 13.75
15 - 4c + 3c = 13.75
15 - 1c = 13.75
<u><em>Step 3:</em></u> Isolate the variable and solve for c.
15 - 1c = 13.75
-15 -15
c = ![\frac{-1.25}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B-1.25%7D%7B-1%7D)
c = 1.25 ← <em>price for cookies</em>
<u><em>Step 4:</em></u> Plug in what you have for c into one of the previous equations and solve for b.
2b + 2(1.25) = 7.50
2b + 2.50 = 7.50
- 2.50 -2.50
b = ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
b = 2.50 ← <em>price for burgers </em>
Now you know the cost of each item:
The burgers cost $2.50 and the cookies cost $1.25.