A. (2,6)(5,0)
slope = (0 - 6) / (5 - 2) = -6/3 = -2
y = mx + b
slope(m) = -2
(2,6)..x = 2 and y = 6
sub and find b, the y int
6 = -2(2) + b
6 = -4 + b
6 + 4 = b
10 = b
so line A , equation is : y = -2x + 10
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B. (0,2)(6,6)
slope = (6 - 2) / (6 - 0) = 4/6 which reduces to 2/3
y = mx + b
slope(m) = 2/3
(0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 2/3(0) + b
2 = b
LIne B, equation is : y = 2/3x + 2
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so we have :
y = 2/3x + 2
y = -2x + 10
2/3x + 2 = -2x + 10 ..multiply by 3
2x + 6 = -6x + 30
2x + 6x = 30 - 6
8x = 24
x = 24/8
x = 3
y = -2x + 10
y = -2(3) + 10
y = -6 + 10
y = 4
solution is (3,4).....3/4 is the solution to both lines <===
Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
Answer:
Below is the step by step explaination of the procedure
Step-by-step explanation:
So since he wants to make three cakes we will multiply the recipe by 3 to get the amount of ingredients this person will need.
6*3 = 18 ounces of butter
5*3 = 15 ounces of sugar
7*3 = 21 ounces of flour
3*3 = 9 eggs
2 * 3 = 6 teaspoons of baking powder.
