Answer: The equation that represents the other equation is 
.
The solution of the system is <u>(3,6).</u>
Step-by-step explanation:
Linear equation: 
, where m= slope
c = y-intercept.
In the first table, the y-intercept = 5 [ y-intercept = value of y at x=0.
Slope for first table = 
The equation that represents the first table:
So, the equation that represents the other equation is .
Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.
Here, x=3 and y=6 is the common value in both tables.
So, the solution of the system is <u>(3,6).</u>
The mean would be -6.2
hope this helps :D
Answer: 
Center = (2, 3) radius = 
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r² where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
4x² - 16x + 4y² - 24y = -51
2) Factor out the 4 from the x² and y²
4(x² - 4x ) + 4(y² - 6y ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
![4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2](https://tex.z-dn.net/?f=4%5Bx%5E2-4x%2B%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%5D%2B4%5By%5E2-6y%2B%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2%5D%3D-51%2B4%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%2B4%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2)
= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36
= 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
- (h, k) = (2, 3)
Answer:
Step-by-step explanation:
A={26,30,32,44,48}
B={22,26,34}
A∩B=26
number of elements=1
elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}
number of elements in ξ=14
P(A∩B)=1/14
I can't draw venn diagram but i give hint
A={30,32,44,48}+{26}
B={22,34}+{26}
A∩B={26}
Answer:
(2, -39)
Step-by-step explanation:
f(x)=-3(x+2)^2+9
f(2)=-3(2+2)^2+9
f(2)=-3(4)^2+9
f(2)=-3(4)(4)+9
f(2)=-3(16)+9
f(2)=-48+9
f(2)=-39
