You break down every part of the number.
100 + 20 + 1 + .06 = 121.06
5n-4 = 6 gives the equation for 5 times #Nathan rode less 4 miles which solves to n = 2
Nathan rode 2 miles. (5*2)-4 = 6 10-4=6 so 2 miles is right
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
Answer:
x=1
Step-by-step explanation:
6(5x - 3) + 2 = 14
Subtract 2 from each side
6(5x - 3) + 2-2 = 14-2
6(5x - 3) = 12
Divide each side by 6
6(5x - 3) /6 = 12/6
5x-3 = 2
Add 3 to each side
5x-3+3 = 2+4
5x=5
Divide each side by 5
5x/5 = 5/5
x = 1
