Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e., 
.
Similarly,
.
Also,
.
Hence, OPTION B is the answer.
This is a rectangular prism. Its volume is V = (length)(width)(height).
Here, V = (10 cm)(3 cm)(2 cm) = 60 cm^3.
Answer:
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Step-by-step explanation:
X^2+x-12=0 factors out into (x+4)(x-3) so the answer is: x=-4, x=3
Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.