Identify the coefficients, terms, like terms, and constants in
1 answer:
The coefficient is a number before a variable.
Here, the coefficient is 9.
The like terms are any terms that have the same variable.
Here, 9k and -k are like terms, and 7 and 4 are like terms as well.
Combine like terms:
8k+3
The constants are: 7 and 4 (Constants are numbers in an expression or equation)
After combining like terms, the constant became
3
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Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: , where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE =
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.