Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
Answer:
The answer to your question is 7.8 mi
Step-by-step explanation:
Data
H (4,3)
G (10, 8)
Process
1.- Use the distance between to points formula to find the distance
dHG = ![\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2%20-%20x1%29%5E%7B2%7D%20%2B%20%28y2%20-%20y1%29%5E%7B2%7D%7D)
x1 = 4 y1 = 3
x2 = 10 y2 = 8
2.- Substitution
dHG = ![\sqrt{(10 - 4)^{2} + (8 - 3)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%2810%20-%204%29%5E%7B2%7D%20%2B%20%288%20-%203%29%5E%7B2%7D%7D)
3.- Simplification
dHG = ![\sqrt{6^{2} + 5^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E%7B2%7D%20%2B%205%5E%7B2%7D%7D)
dHG = ![\sqrt{36 + 25}](https://tex.z-dn.net/?f=%5Csqrt%7B36%20%2B%2025%7D)
dHG = ![\sqrt{61}](https://tex.z-dn.net/?f=%5Csqrt%7B61%7D)
4.- Result
dHG = 7.8 mi
Answer:
x=9.6
Step-by-step explanation:
We are given the proportion:
![\frac{2}{5}=\frac{x}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B24%7D)
We are asked to solve for x. Therefore, we must isolate x on one side of the proportion.
x is being divided by 24. The inverse of division is multiplication. Multiply both sides of the proportion by 24.
![24*\frac{2}{5}=\frac{x}{24}*24](https://tex.z-dn.net/?f=24%2A%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B24%7D%2A24)
![24*\frac{2}{5}=z](https://tex.z-dn.net/?f=24%2A%5Cfrac%7B2%7D%7B5%7D%3Dz)
![24*0.4=x](https://tex.z-dn.net/?f=24%2A0.4%3Dx)
![9.6=x](https://tex.z-dn.net/?f=9.6%3Dx)
![x=9.6](https://tex.z-dn.net/?f=x%3D9.6)
x is equal to 9.6 The complete proportion is ![\frac{2}{5}=\frac{9.6}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7B9.6%7D%7B24%7D)