Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
Answer: they are similar because of the same side lengths
Step-by-step explanation:
Answer is –4/5
Rearrange the equation to make y the subject
5y = –4x – 35
y = –4/5 x – 7
If the line is parallel to the other line, they both have the same gradients but different y-intercepts, so the gradient is just as is.
The slope of this line is -3/4
In order to find this, we look for two points on the line and then use the slope formula. Two points that are on the line are (0, 2) and (4, -1). Plug these into the following formula.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-1 - 2)/(4 - 0)
m = -3/4
