<u>Given</u>:
The given expression is
We need to determine the solution of the given expression.
<u>Solution</u>:
Let us solve the exponential equations with common base.
Applying the rule, if then
Thus, we have;
Subtracting both sides of the equation by 9x, we get;
Subtracting both sides of the equation by 18, we have;
Factoring the equation, we get;
Grouping the terms, we have;
Taking out the common term from both the groups, we get;
Factoring out the common term (x - 7), we get;
Thus, the solution of the exponential equations is x = -2 and x = 7.
Hence, Option C is the correct answer.
Hey there! :D
The biggest thing to remember here is the similar triangles and their side lengths.
Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to.
We want to find two triangles that have "x" has a value of their side, so we can solve a proportion.
The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.
On the smaller triangle:
We have 9 cm on the shorter side and x as the hypotenuse.
On the larger triangle:
We have x as the shorter side, and then 25 as the hypotenuse. (9+16)
Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it.
So, now we can make a proportion.
Now, cross multiply.
9*25= 225
x*x=
So, find the square root.
√225= 15
x= 15. I hope this helps!
~kaikers
The answer is 7x20 and that equals 140 good luck
Answer:
12
Step-by-step explanation: