Answer:
length = 7 meters
Step-by-step explanation:
l = length
w = width
w = 3×l - 6
l×w = 105 m²
l×(3×l - 6) = 105
3×l² - 6×l = 105
l² - 2×l = 35
l² - 2×l - 35 = 0
solution of a squared equation is
(-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = -2
c = -35
(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =
(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6
l1 = 1+6 = 7 meters
l2 = 1-6 = -5 meters, which did not make any sense for an actual object.
so, l = 7 meters remains.
Answer:
The number of faces is 29
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

In this problem we have


Substitute in the formula and solve for F




Answer:
1080
Step-by-step explanation:
480 + 480 + 1/4(480) = 1080
Answer:
Solution for 17=w-4 equation:
17=w-4
We simplify the equation to the form, which is simple to understand
17=w-4
We move all terms containing w to the left and all other terms to the right.
-1w=-4-17
We simplify the left and right sides of the equation.
-1w=-21
We divide both sides of the equation by -01 to get w.
w=21
Step-by-step explanation:
Answer: -0.95
Step-by-step explanation:
The value that explains the least-squares regression line is 90% or 0.9, and is also r^2.
You would just square root r^2 and get r=0.948. since the relationship is negative, r= -0.948, or -0.95