Answer:
32 and 36 and 1 and 4 i think
Step-by-step explanation:
Let x and x+1 represent the consecutive integers, then x is the other leg and x+1 is the hypotenuse (because the hypotenuse must be greater than its sides).
Use Pythagorean Theorem:
a² + b² = c²
(77)² + x² = (x+1)²
5929 + x² = x² + 2x + 1
5928 = 2x
2964 = x
x+1 = 2965
Answer: The other leg is 2964 m and the hypotenuse is 2965 m
X² + x - 20 = 0
x² = x * x
x = the sum of the factors of -20
-20 ⇒ 1 x 20
2 x 10
- 4 x 5 ⇒ only these factors can arrive to a sum of 1
(x - 4)(x + 5) = x(x+5) - 4(x+5) = x² + 5x - 4x - 20 = x² + x - 20
x - 4 = 0
x = 4
x + 5 = 0
x = -5
Answer:
x = -12
Step-by-step explanation:
2(x+1)-3x=14 (expand parenthesis i.e PEDMAS rule)
2x + 2 - 3x = 14 (bring all x terms to one side and numbers to the other; subtract 2 from both sides)
2x - 3x = 14 - 2 (evaluate each side)
-x = 12 (multiply both sides by -1)
x = -12
