Answer: D –648, 1944, –5832
Step-by-step explanation:
Given sequence: –8, 24, –72, 216, . . .
Here we can see that the next term is -3 times the previous term.
Such that
therefore, the term after 216=
Then term after -648 =
Term after 1944=
Thus, D is the right answer. The next three terms of the sequence are –648, 1944, –5832
(1, 7), (10, 1)
AC=c/3
BD=4-c
Answer:
Recall the following result:
In a rectangle ABCD, the diagonals AC and BD are equal to each other, that is, AC = BD.
Consider the following statement:
and BD =4-c
The objective is to find the length of each diagonal.
As per the result:
In a rectangle ABCD:
AC = BD
Substitute the given values:
Multiply both sides by 3:
Simplify:
c = 12-3c
Add 3c to both sides :
4c= 12
Divide both sides by 4;
c = 3
Then,
BD=4-3 = 1
Therefore, the length of each diagonal is, 1.
The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.
An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
9c - 12- 15c - 8 - 3c.
Solve the expression for terms c,
9c - 12 - 18c - 8
-9c - 12 -8
Further, solve for constant terms,
-9c - 20
The simplified form of the expression is -9c - 20.
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Answer:
-9c-20
Step-by-step explanation:
Simplify the equation by adding/subtracting the like terms (c and numbers)