R = [ 3 7 -2 -11 ]
for 4R, you just have to multiply each by 4
4R = [ ( 3 x 4 ) ( 7 x 4 ) ( -2 x 4 ) ( -11 x 4 ) ]
4R = [ 12 28 -8 -44 ]
Answer:
The distance between the two points is about 7.1 units.
Step-by-step explanation:
We want to find the distance between the two points (-3, 6) and (2, 1).
To find the distance between any two points, we can use the distance formula:
![\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Let (-3, 6) be (<em>x₁, y₁</em>) and (2, 1) be (<em>x₂, y₂</em>). Substitute:
![\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%3D%5Csqrt%7B%28%282%29-%28-3%29%29%5E2%2B%28%281%29-%286%29%29%5E2%7D)
Simplify:
![\displaystyle d=\sqrt{(5)^2+(-5)^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%3D%5Csqrt%7B%285%29%5E2%2B%28-5%29%5E2%7D)
Evaluate:
![d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B25%2B25%7D%3D%5Csqrt%7B25%282%29%7D%3D5%5Csqrt%7B2%7D%5Capprox%207.1%5Ctext%7B%20units%7D)
The distance between the two points is about 7.1 units.
The correct answer, I believe is 13230, hope it helps!!
Answer:
d) $47.60
Explanation:
Step 1 - Find out the cost per sandwich by dividing the cost of five sandwiches by five.
29.75 / 5 = 5.95
Each sandwich costs $5.95.
Step 2 - Find out how much eight sandwiches will cost by multiplying the cost of one sandwich by eight.
5.95 • 8 = 47.60
Eight sandwiches will cost $47.60.
75 +10n = 15n
75 = 5n
15 = n
Therefore 15 classes