Answer:
No solutions
Step-by-step explanation:
Hello!
To solve for x, we should expand the parenthesis and isolate the variable x.
<h3>Solve for x</h3>
- 6(1 + 5x) = 5(1 + 6x)
- 6 + 30x = 5 + 30x
- 6 ≠ 5
The are no solutions for x, as 6 does not equal to 5.
Answer:
We want to simplify:
(3 + 1/4)*(3/5)
The first step is to write the first term as a single rational number.
We know that:
3*1 = 3
and 4/4 = 1
then:
3*1 = 3*(4/4) = (3*4)/4 = 12/4
We do this because we want to have the same denominator in both numbers, so we can directly add them.
Then we get:
(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)
And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:
(13/4)*(3/5) = (13*3)/(4*5)
If we solve the multiplications we get:
(13*3)/(4*5) = (39/20)
Now, we can notice that in the numerator we have two prime numbers, 13 and 3.
And in the denominators, we have a 4 (which is equal to 2*2) and a 5.
So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.
Then we have:
(3 + 1/4)*(3/5) = (39/20)
Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24
Solution: 24
