Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)
A typical exponential function is y=a

when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a

3936.6=a

divide the second equation by the first to eliminate a:
243=

log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a

a=0.183
please double check my calculation
Answer: 9
Concept:
Here, we need to know the idea of absolute value.
The<u> absolute value</u> of a number or integer is the actual distance of the integer from zero, in a number line.
There are <u>no negatives </u>in absolute value. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive.
Solve:
<u>Given</u>
3 |-3|
<u>Expand absolute value sign, which means making [-3] positive</u>
= 3 × (3)
<u>Simplify by multiplication</u>
= 
Hope this helps!! :)
Please let me know if you have any questions
Answer:

Step-by-step explanation:
(Let the point where the altitude from
intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either
<em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram
can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:

(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
Multiply the divisor by a power of 10 to make it a whole number.
Multiply the dividend by the same power of 10. Place the decimal point in the quotient.
Divide the dividend by the whole-number divisor to find the quotient.