The answer to your question would be -120
Answer:
41 units
Step-by-step explanation:
The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.
c² = a² + b²
d² = 9² + 40²
d = 41
The diagonal is 41 units long.
Answer:
X = 18
Step-by-step explanation:
Question: The sum of three numbers in order is 57. the equation that represents this is x (x 1) (x 2) = 57. which value of x from the set {16, 17, 18, 19} makes the equation true?
Answer: First you can use the equation to work out the value of x.
x + (x + 1) + (x + 2) = 57
Simplify the equation.
3x + 3 = 57.
Now solve the equation.
57 - 3 = 54
54/3 = 18
In short, The value of x is 18.
Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
