29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3
Answer:
The slope of the line of best fit is 
⇒ 2nd option
Step-by-step explanation:
The formula of the slope of a line is 
<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>
From the attached graph points (1 , 9) and (8 , 3) are the best choice
∵ The line passes through points (1 , 9) and (8 , 3)
∴ 
= 1 and 
= 8
∴ 
= 9 and 
= 3
- Substitute them in the formula of the slope
∴ 
∴ The slope of the line of best fit is
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
m = 56
Step-by-step explanation:
1/2m - 5 = 23
add 5 to both sides
1/2m - 5 + 5 = 23 + 5
1/2m = 28
multiply both sides by 2
1/2m(2) = 28(2)
m = 56
Answer: yes
Step-by-step explanation:
4 4/16 + 3 3/8=4 2/8 + 3 3/8=7 5/8
