Answer:
D. 56 cm
Step-by-step explanation:
Answer:
The values are a=-6 and b=18.
Step-by-step explanation:
A Geometric sequence is given by the formula
for all , where r ≠ 0 is the common ratio and is the first term of the sequence
.
In this problem we know that m=
2, is the second term of the sequence and is the third term.
First we need to find the general form of the sequence, we can use the fourth term and the value of to find r.
We replace and in the formula , then we have
.
Therefore the general form of the sequence is for all .
To find the value of a, we replace n=2 in our formula, so
.
To find the value of b, we replace n=3 in our formula, so
.
Answer:
40%
Step-by-step explanation:
According to the given description of the 10 by 10 grid, 40 out of 100 squares are shaded.
Convert into a Fraction:
Convert the fraction into a decimal:
Convert the decimal into a percent:
<u>40%</u>
<u></u>
So, the grid should represent 40%.
<u></u>
Answer:
(x, y) = (6, -7)
Step-by-step explanation:
Assuming you want to solve the equations for x and y, you can divide the second equation by 2 to get
x -2y = 20
then add 2y to obtain an expression for x:
x = 20 +2y
Substituting this into the first equation gives ...
5(20 +2y) +3y = 9
100 +13y = 9 . . . . . . eliminate parentheses, collect terms
13y = -91 . . . . . . . . . .subtract 100
y = -7 . . . . . . . . . . . . .divide by 13
Using this in our expression for x, we find ...
x = 20 +2(-7) = 6
The solution is (x, y) = (6, -7).