Answer:
Paco contributed = 360pesos
Juan contributed = 504pesos
Question:
Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.
Step-by-step explanation:
Let the common factor between each brother = p
Paco gave = 5×common factor = 5p
Juan gave = 7×common factor = 7p
Total money contributed by both brothers = 864
Total money contributed by both brothers = 5p + 7p
5p + 7p = 864
12p = 864
p = 864/12
p = 72
Paco contributed = 5p = 5×72 = 360pesos
Juan contributed = 7p = 7×72 = 504pesos
Answer:
D=![\sqrt{(147-30\sqrt{10}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28147-30%5Csqrt%7B10%7D%7D)
Step-by-step explanation:
Here we are required to find the distance between two coordinates. We will use the distance formula to find the distance
The distance formula is given as
![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)
Here we are given two coordinates as
![(6,5\sqrt{5} ) , (4,3\sqrt{2} )](https://tex.z-dn.net/?f=%286%2C5%5Csqrt%7B5%7D%20%29%20%2C%20%284%2C3%5Csqrt%7B2%7D%20%29)
Substituting these values in the Distance formula given above we get
![D=\sqrt{(6-4)^2+(5\sqrt{5} -3\sqrt{2}) ^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%286-4%29%5E2%2B%285%5Csqrt%7B5%7D%20-3%5Csqrt%7B2%7D%29%20%5E2%7D)
![D=\sqrt{(2)^2+(5\sqrt{5})^2+(3\sqrt{2})^2-2*5\sqrt{5}*3\sqrt{2}}\\](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%282%29%5E2%2B%285%5Csqrt%7B5%7D%29%5E2%2B%283%5Csqrt%7B2%7D%29%5E2-2%2A5%5Csqrt%7B5%7D%2A3%5Csqrt%7B2%7D%7D%5C%5C)
![D=\sqrt{4+125+18-2*15\sqrt{10}}\\D=\sqrt{147-30\sqrt{10}}\\](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B4%2B125%2B18-2%2A15%5Csqrt%7B10%7D%7D%5C%5CD%3D%5Csqrt%7B147-30%5Csqrt%7B10%7D%7D%5C%5C)
Hence this is our answer
Answer:
Step-by-step explanation:
slope m = (y₂ - y₁)/(x₂ - x₁)
= 6-6 / 8 - (-5) = 0/ 8+5 = o
Slope = o. ie the line is parallel to the x-axis.
Answer:
Step-by-step explanation:
scale factor:
1/2
the coordinates of the new vertices are
A (-4/2, -8/2)
A:(-2, -4)
B (-2/2, 34/2)
B: (-1, 17)
C (6/2, 12/2)
C:(3, 6)
D (10/2, -30/2)
D:(5, -15)
I guess the dilation is 2 times bigger?