Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
If n stands for the smallest number, then the second and third number would be (n + 1) and (n + 2)
Write the equation based on what are given
the sum of three numbers = 72
n + (n + 1) + (n + 2) = 72
Then, solve the equation
n + (n + 1) + (n + 2) = 72
3n + 3 = 72
3n = 72 - 3
3n = 69
n = 69/3
n = 23
The smallest number is 23
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
Answer:
232.36
Step-by-step explanation:
double the radius and multiply by 3.14
Answer:
3(5n-6)
Step-by-step explanation:
You want to find the common multiple between the two numbers.
Find a number that is divisible by both numbers, and to find that, you need to factor them out using multiples that are suitable for each number
15:
5 x <u>3</u>(only multiple pair that has whole numbers)
18:
9 x 2(no)
6 x <u>3(yes)</u>
After you have found your answer insert it into the equation.
3(5n-6)
To check if you're right, multiply 3 into the brackets and you will get your answer.
3 x 5n - 3 x 6
15n-18
SOLVED
