Let, the integers = x,(x+1)
x*(x+1) = 56
x²+x = 56
x²+x-56 = 0
x²+8x-7x-56=0
x(x+8)-7(x+8)=0
x+8= 0 OR x-7=0
x = -8 OR x = 7
it would be -8 & -7 or 7 & 8
Answer:
192x-4= -768
Step-by-step explanation:
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
Answer:
The value of x = 5
Step-by-step explanation:
Length of the pool = 20 feet
Width of the pool = (20 minus x) feet
Area of the pool = 300 square feet
Area of a rectangular pool = length × width
300 = 20 (20 - x)
300 = 400 - 20x
Subtract 400 from both sides
300 - 400 = 400 - 20x - 400
- 100 = - 20x
Divide both sides by -20
x = -100/-20
= 5
x = 5
The value of x = 5
