Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Here's how to convert 0.16666 to a fraction...
There is not much that can be done to figure out how to write 0.16666 as a fraction, except to literally use what the decimal portion of your number, the .16666, means.
Since there are 5 digits in 16666, the very last digit is the "100000th" decimal place.
So we can just say that .16666 is the same as 16666/100000.
The fraction 16666/100000 is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.
Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 16666 and 100000.
So, this fraction reduced to lowest terms is 8333/50000
So your final answer is: 0.16666 can be written as the fraction 8333/50000
No solution for the quadratic equation because of the √-20
Answer:
5. y = -1/2x + 6
6. y = 1/2x + 150
7. y = 10x + 20
8. y = 25x
Step-by-step explanation:
Look at the y-intercept and eliminate the answers you dont need.
Then find the slope of each.
Answer: The slope is 5.
Step-by-step explanation:
