Answer:
1.
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
2.
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
Step-by-step explanation:
1.
x y
2 12
4 16
8 24
10 28
from 12 to 16 you add 4
from 2 to 4 you add 2
y/x = 4/2 = 2
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
I got the y-intercept because I went from 12 to 0 which is -12, and then 2 - 12 and it's -10
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2.
x y
5 4
20 10
30 14
35 16
from 4 to 10, u add 6
from 5 to 20 you add 15
y/x = 15/6 = 2.5
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
I got the y-intercept because I went from 4 to 0 which is -4, and 5 - 4 is 1.
Hope this helped
L = building side
W = non-building side
P = 2W + L = 42 (note only one L because the other L is the building itself)
Solve for L:
L = 42 - 2W
Area = l*w
Area = (42-2W)W = 42W - 2W2
Let area be y, so y = -2W2 +42W
Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.
Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0
a = -2
b = 42
W = -42/(2*-2) = -42/-4 = 10.5
W = 10.5
L = 42-2(10.5) = 42-21 = 21
Area = L*W = 21 * 10.5
A = 220.5 ft2
Answer: 29 centimeters long
Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)
Area squares is the side*side, or
So, each side equals 5.
