Answer:
The complete factorization is (x^2 + 1)(x + 2)
Step-by-step explanation:
In order to find this, we start by splitting the 4 term polynomial into two, two-term polynomials. Then we pull out the greatest common factor of each.
x^3 + 2x^2 = x^2(x + 2)
x + 2 = 1(x + 2)
Since the remaining parentheses are identical, we use that and the two outside to factor.
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Answer:
(-6.5, -5)
Step-by-step explanation:
The first point is weighted by the length of the second segment, and vice versa.
P = (3A +1B)/(3+1)
P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)
Answer:
Step-by-step explanation:
so he has 1.125 liters....and he needs 2.5 liters..
so he needs (2.5 - 1.125) = 1.375 liters <==
Answer:
The equation of a circle will be:
Step-by-step explanation:
We have to find the equation of the circle that satisfies the stated conditions.
We know that the equation of a circle is
(x - h)² + (y - k)² = r²
here:
- (h, k) is the center point
Given that the circle is tangent to the y-axis, we just need to determine the distance between x = 0 and x = -6.
As the distance between x = 0 and x = -6 is 6. Thus, 6 will be the radius of the circle.
In other words,
Therefore, the equation of a circle is:
(x - h)² + (y - k)² = r²
(x - (-6))² + (y - 2)² = (5)²
(x+6)² + (y - 2)² = 25
Thus, the equation of a circle will be:
