Answer:
The 2nd one
Step-by-step explanation:
Answer:
scale factor = 1.2
Step-by-step explanation:
To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.
scale factor = 
= 
= 1.2
Apply the slope formula as follows:
5-4 1
m = --------- = ---------
7-(-3) 10
Answer:
V = x(24 - x)^2 cm^3.
Domain = (0, 24).
Step-by-step explanation:
a. Let the lengths of the sides of the squares be x cm.
Then the lengths of the sides of the base of the box will be (24 - 2x) cm.
The height of the box will be x cm.
So the required volume
= height * area of base
So V = x(24 - x)^2
b. The domain of this function is (0, 24).
X^2 - 16x + 56 = 0
= (x - 8)^2 - 64 +56= 0
= (x - 8)^2 - 8 = 0
x^2 - 8x + 11 = 0
(x - 4)^2 - 16 + 11
(x - 4)^2 - 5 = 0
(x + 15)(x + 5) = 96
x^2 + 20x + 75 = 96
(x + 10)^2 - 100 + 75 = 96
(x + 10)^2 = 96 +25 = 121
taking square roots:-
x + 10 = 11
x = 1
