Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
Hi there!
If Andrea bought 12 bagels and 2/3 were multigrain we can determine what the total amount of bagels that are multigrain by finding a common denominator. We can do this by multiplying 2/3 * 4 which gets us the common denominator we need.
2/3 * 4 <--- Equation
8/12 <--- Simplified from step 1.
Therefore 8 out of the 12 bagels Andrea bought were multigrain!
Answer:
6th graders have more participators in extracurricular activities than 4th graders.
There are more 6th graders than 4th graders that participate in extracurricular activities.
Step-by-step explanation:
Answer:
2^7
Step-by-step explanation:
3+7=10
Answer:
A. n = 22
Step-by-step explanation:
Hello!
The researcher conducted a one-sample t-tas with the following hypotheses:
H₀: μ = μ₀
H₁: μ ≠ μ₀
α:0.05
The one-sample t-test has "n-1" degrees of freedom and since the hypotheses are two-tailed you know that the rejection region will be divided into two tails with "α/2" for each tail. ± 
If α:0.05 then α/2:0.025 and 1-α/2= 0.975
Using the given sample sizes as a reference you look in the table for the corresponding DF for an accumulated probability of 0.975
For n = 22 
For n= 21 
For n= 20 
The correct answer is a) n= 22
I hope this helps!
