Answer:
B) AD/DE = BD/AD
Step-by-step explanation:
Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:

Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:

Given

Putting the values in the formula

Putting the values of h,k and r in general form of equation

Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Answer:
76%
Step-by-step explanation:
First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.
This means that 36 of the 150 seats are already taken.
But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.
The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%
Answer:
Option A
Step-by-step explanation:
Degree of the polynomial function = 4
That means highest degree term of the given polynomial has power = 4
If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,
f(x) = (x - a)(x - b)(x - c)(x - d)
It's given in the question that roots are x = -2, -1, 1 and 3
Therefore, polynomial function will be,
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3
Therefore, Option A will be the answer.
For finding GCF, just find the least number among them.
For example:
a.) 6x^2 - 9 find what number that can be divided to 6. In this case, it is 2 and 3.
You can't divide 9 by 2 so the answer in this equation would be 3.
b.) 2a^ 2 + 22a + 60 I's just the same method to use. In this case, we will use 2a^2. The factors that can be divided to 2 is (2,1). So we will choose 2 because it is the GCF of 2 and the equation is divisible by 2.