The lateral area of the cube is 36 sq units
<u>Explanation:</u>
<u />
Given:
Perimeter of the base of the cube = 12 units
Base of the cube has 4 sides
So, the perimeter of the base = 4a
where,
a is the length of one side
Thus,
4a = 12 units
a = 3 units
Lateral surface area of the cube = 4a²
A = 4 X (3)²
A = 36 sq units
Therefore, the lateral area of the cube is 36 sq units
Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :

In this example, we have
= 36 (the first term in the sequence) and
r =
(the rate in which the sequence is changing).
Knowing what the values for r and
are, now we can solve.
=
= 54 · 
Therefore, the formula to find the nth term of the given sequence is
54 · 
(0,0)-->(0,0)
(3,-1)-->(9,-3)
(3,3)-->(9,9)
so what you will plug after the dilation will be the points on the right/
hope i help
Answer:
<u>x-intercept</u>
The point at which the curve <u>crosses the x-axis</u>, so when y = 0.
From inspection of the graph, the curve appears to cross the x-axis when x = -4, so the x-intercept is (-4, 0)
<u>y-intercept</u>
The point at which the curve <u>crosses the y-axis</u>, so when x = 0.
From inspection of the graph, the curve appears to cross the y-axis when y = -1, so the y-intercept is (0, -1)
<u>Asymptote</u>
A line which the curve gets <u>infinitely close</u> to, but <u>never touches</u>.
From inspection of the graph, the curve appears to get infinitely close to but never touches the vertical line at x = -5, so the vertical asymptote is x = -5
(Please note: we cannot be sure that there is a horizontal asymptote at y = -2 without knowing the equation of the graph, or seeing a larger portion of the graph).
Answer:

Step-by-step explanation:
Let us solve

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