Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
Answer: -22
Step-by-step explanation: multiply -7 adn 4 that would be -28 then subtract -6 and it would give you -22
Have a good day!
Answer:
x = 2
Step-by-step explanation:
Step 1: Write out equation
2 - 4x = 3x - 12
Step 2: Add 4x on both sides
2 - 4x + 4x = 3x + 4x - 12
2 = 7x - 12
Step 3: Add 12 on both sides
2 + 12 = 7x - 12 + 12
14 = 7x
Step 4: Divide both sides by 7
14/7 = 7x/7
2 = x
Step 5: Rewrite
x = 2
5/9 and 11/21
LCM of the denominators is 63
changing their denominators to all have a common denominator of 63:
5(7)/63 = 35/63
11(3)/63 = 33/63
from the above;
5/9 > 11/21.