Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
I think the correlation is linear, and the outlier is 26,46
Answer:
y = 4/3x + 4
Step-by-step explanation:
y = mx + b is the formula for finding the slope intercept form equation
m = slope
b = y intercept
If you look at points (-3, 0) and (0, 4), you can calculate the slope
You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)
Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4
Now, lets create your equation...
y = 4/3x + 4
