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.
Answer:
90
Step-by-step explanation:
3/1=3
30x3=90
A large company wanted to know how the average salary of their employees had changed over the last year. the results of their study had a p-value of 0.12and showed that the average salary had increased by $1,500 from $20,000 to $21,500. The results were practically significant but not statistically significant.
The standard form of an equation is the form where that equation has no fractions and is written in the form ax + by = c.
To get rid of the fractions in y = -5/2 x - 3, we need to multiply both sides by 2. That makes the equation become:
2y = -5x - 6
Now we need to get it into the form ax + by = c. We can do this by adding 5x to each side.
5x + 2y = -6 is our answer
The standard deviation is 1, I believe...
