Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula: ![L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D%20-y_%7B1%7D%29%5E%7B2%7D%20%7D)
point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1
point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3
Substitute the information into the formula
![L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D%20-y_%7B1%7D%29%5E%7B2%7D%20%7D)
Simplify inside each bracket
Square the numbers
Add inside the root
Enter into calculator
Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.
Answer:
Correct choice is D (In a whole pepperoni pizza are 660 calories, in in a whole ham and pineapple pizza are 580 calories).
Step-by-step explanation:
Let x calories be the number of calories a whole pepperoni pizza contains and y calories be the number of calories a whole ham and pineapple pizza contains.
1. If half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories, then
![\dfrac{1}{2}x+\dfrac{3}{4}y=765.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dx%2B%5Cdfrac%7B3%7D%7B4%7Dy%3D765.)
2. If 1/4 of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories. then
![\dfrac{1}{4}x+y=745.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7Dx%2By%3D745.)
3. Multiply each equation by 4 and get a system of two equations:
![\left\{\begin{array}{l}2x+3y=3060\\x+4y=2980\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D2x%2B3y%3D3060%5C%5Cx%2B4y%3D2980%5Cend%7Barray%7D%5Cright.)
From the second equation
, then
![2(2980-4y)+3y=3060,\\ \\5960-8y+3y=3060,\\ \\-8y+3y=3060-5960,\\ \\-5y=-2900,\\ \\y=580.](https://tex.z-dn.net/?f=2%282980-4y%29%2B3y%3D3060%2C%5C%5C%20%5C%5C5960-8y%2B3y%3D3060%2C%5C%5C%20%5C%5C-8y%2B3y%3D3060-5960%2C%5C%5C%20%5C%5C-5y%3D-2900%2C%5C%5C%20%5C%5Cy%3D580.)
Then
![x=2980-4\cdot 580=2980-2320=660.](https://tex.z-dn.net/?f=x%3D2980-4%5Ccdot%20580%3D2980-2320%3D660.)
Answer:
Wilhem
Step-by-step explanation:
The given equation is
![32g+8g-10g=150](https://tex.z-dn.net/?f=32g%2B8g-10g%3D150)
Step 1 : Add 32g and 8g.
![(32g+8g)-10g=150](https://tex.z-dn.net/?f=%2832g%2B8g%29-10g%3D150)
![(32+8)g-10g=150](https://tex.z-dn.net/?f=%2832%2B8%29g-10g%3D150)
![40g-10g=150](https://tex.z-dn.net/?f=40g-10g%3D150)
Step 2: Subtract 10 from 40.
![(40-10)g=150](https://tex.z-dn.net/?f=%2840-10%29g%3D150)
![30g=150](https://tex.z-dn.net/?f=30g%3D150)
Step 3: Divide both sides by 30, find the value of g.
![\frac{30g}{30}=\frac{150}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B30g%7D%7B30%7D%3D%5Cfrac%7B150%7D%7B30%7D)
![g=5](https://tex.z-dn.net/?f=g%3D5)
The value of g is 5.
Therefore, Wilhem is correct.
$13.73 weekly
54.92 / 4 = 13.73