Answer:
y = x + 15
Step-by-step explanation:
okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)
24 - 19/9 - 4 = 5/5 = 1
so that is your slope (m)
and now if you follow your slope then you should get your y-intercept (b)
4 - 1 = 3 19 - 1 = 18
(3, 18)
3 - 1 = 2 18 - 1 = 17
(2, 17)
2 - 1 = 1 17 - 1 = 16
(1, 16)
1 - 1 = 0 16 - 1 = 15
(0, 15)
so thats your y-intercept (b)
and the equation will look like:
y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)
Width of the rectangle is 16 ft and length of the rectangle is 20 ft
<u>Step-by-step explanation:</u>
Step 1:
Given area of the rectangle = 320 ft². Let the width of the rectangle be x, then the length = x + 4. Use the formula for area of a rectangle = (length × width)
320 = x(x + 4)
320 = x² + 4x
x² + 4x - 320 = 0
x = (-b ±√b² - 4ac)/2a = (-4 ±√16 - 4×1×-320)/2
= (-4±√1296)/2 = (-4 ± 36)/2
= 32/2, -40/2 = 16, -20 (neglecting the negative value)
∴ Width of the rectangle = 16 ft
∴ Length of the rectangle = 16 + 4 = 20ft