Answer:
D. 
Step-by-step explanation:
Area of sector of a circle is given as θ/360*πr²
Where,
r = radius = 12 cm
θ = 56°
Use 3.14 as π
Plug in the values into the formula and solve


Area of the sector ABC =
The answer is D
Answer:
y= 4x-7
Step-by-step explanation:
First, we need to find the slope. We can do this by using the formula:
1) y₂-y₁/x₂-x₁
2) 9-5/5-3
3) 4/2
4) The slope is 2
Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.
5) y-y₁=m(x-x₁)
6) y-5 =4(x-3)
7) Now we just simplify this equation to make it slope intercept form (y=mx+b)
8) y-5= 4x-12
9) y=4x-7
And there you have it :)
Your rise over run will be -3 over 1 your going to start at the point 5 on the y-axis when your at the point 5 go down 3 then over to the right 1 keep going till it off the graph. Now do the opposite way and go up 3 from 5 and to the left 1 and keep doing that till it’s off the graph.
Hope this helps
Answer:
12x + 2
Step-by-step explanation:
Let the number be represented by x.
Then five times the number = 5*x
Seven times the number = 7*x
Sum of 5 times the number minus -2 =
= ![\[5x +2\]](https://tex.z-dn.net/?f=%5C%5B5x%20%2B2%5C%5D)
Adding seven times the number to this expression yields, ![\[5x+2+7x\]](https://tex.z-dn.net/?f=%5C%5B5x%2B2%2B7x%5C%5D)
![\[= (5+7)x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%285%2B7%29x%2B2%5C%5D)
![\[= 12x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%2012x%2B2%5C%5D)
So the simplified expression corresponds to 12x + 2.
Answer:

Step-by-step explanation:

then the equation reads:

The standard form of an quadratic function is:

So the answer is:
