Answer:
First lets find the slope through the points (3,-1) and (-1,5)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula (note: (x%5B1%5D,y%5B1%5D) is the first point (3,-1) and (x%5B2%5D,y%5B2%5D) is the second point (-1,5))
m=%285--1%29%2F%28-1-3%29 Plug in y%5B2%5D=5,y%5B1%5D=-1,x%5B2%5D=-1,x%5B1%5D=3 (these are the coordinates of given points)
m=+6%2F-4 Subtract the terms in the numerator 5--1 to get 6. Subtract the terms in the denominator -1-3 to get -4
m=-3%2F2 Reduce
So the slope is
m=-3%2F2
Step-by-step explanation:
Answer: x=17, y=45
Explanation: Let the numbers be x and y.
We have,
3x−6=y
Also, x+y=62
Thus, x+3x=62+6
Or, x=17
Putting in the required values, we get y as 45
Answer:
28 in of red and 7 in. of yellow.
Step-by-step explanation:
Red ribbon: 7 * 4 = 28 in,
Yellow ribbon: 7 * 1 = 7 in.
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%
Answer: The area of the composite figure is 240.
Step-by-step explanation: For the area of the rectangle, multiply the length and width. That's 20 x 10, which is 200. Now we have to find the area of the triangle. That's length x height x 1/2. 20 x 4 is 80, and then half of that is 40. Add 200 and 40 to get 240.
