Answer:
The answer to your question is (x + 7)² + (y - 5)² = 88
Step-by-step explanation:
Equation
x² + 14x + y² - 10y = 14
Complete perfect trinomial squares
x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²
Simplify
x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25
x² + 14x + (7)² + y² - 10y + (5)² = 88
Factor
(x + 7)² + (y - 5)² = 88 This is the equation in the form
center-radius
Answer:
“two negatives = positive” rule works for multiplication and division.
Step-by-step explanation:
-5 + (-3) example
imagine a number line with 0 in the center. From (0) You move left 5 places to (-5) on the number line. Now you move another 3 more to the left (-3) and land on (-8).
You are combining the negatives. I hope this helps.
Answer:
D. Up
Step-by-step explanation:
When a parabola has the form 
, It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
the correct answer should be (b) 6 is extraneous.
If you look at the second row of the solution you see (x-6) as a factor in one of the denominators. That's a problem: if 6 were a solution this denominator would become 0. But denominators being 0 is bad (undefined), so while 6 comes out of the algebraic manipulation as a solution, it is invalid, or extraneous.
-3 is a fine solution.
Answer:
80 questions
Step-by-step explanation:
- 35/100 = 28/x
- 35x = 28(100)
- 35x = 2800
- x = 2800/35
- x = 80
