Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
1 answer:
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We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle
step 1
Find the area of the triangle
The area of the triangle is equal to
we have
To find out the height of the triangle Apply the Pythagorean Theorem
solve for h
<em>Find the area of triangle</em>
step 2
Find the area of rectangle
The area of rectangle is equal to
we have
substitute
step 3
Find the area of the figure
Adds the areas
Given:
The expression is
To find:
The expression which is not a correct way to rewrite the given expression.
Solution:
We have,
Using distributive property, we get
Using distributive property the given expression can rewritten as:
Only the expression in option A is not a correct way to rewrite the given expression because is not distributed to
properly.
Therefore, the correct option is A.