Answer:
141 5/7
Step-by-step explanation:
8c + 10b ÷ 7a
Let c = 7, b = 12, and a = 5
8*7 + 10*12 ÷ 7*5
Multiply and divide from left to right
56+120 ÷7*5
56+ 600/7
Get a common denominator
392/7 + 600/7
992/7
Change from an improper fraction to a mixed number
141 5/7
Quadrant I is the top right part of a 4-part grid.
Quadrants are divided by the X and Y lines.
The Quadrants are as followed:
- (or I) Top Right (X, Y)
- (or II) Top Left (-X, Y)
- (or III) Bottom Left (-X, -Y)
- (or IV) Bottom Right (X, -Y)
Most likely, if your question is asking about a rotation, it'll land in Quadrant II (counterclockwise) or Quadrant IV (Clockwise)
Answer:
blue question mark = –
Step-by-step explanation:
6(2x -1) uses the distributive property, which means that both 2x and -1 are multiplied by 6 when expanding the brackets.
6(2x - 1)
= (6 x 2x) + (6 x -1)
= 12x - 6
Answer:
![11](https://tex.z-dn.net/?f=11)
Step-by-step explanation:
![2 -3(5 -6)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1) -4(-3) +16 \div 8(-3) \\ 2 +3 +12 +2(-3) \\ 2 +3 +12 -6 \\ 5 +12 -6 \\ 17 -6 \\ 11](https://tex.z-dn.net/?f=2%20-3%285%20-6%29%5E3%20-4%28-3%29%20%2B16%20%5Cdiv%208%28-3%29%20%5C%5C%202%20-3%28-1%29%5E3%20-4%28-3%29%20%2B16%20%5Cdiv%208%28-3%29%20%5C%5C%202%20-3%28-1%29%20-4%28-3%29%20%2B16%20%5Cdiv%208%28-3%29%20%5C%5C%202%20%2B3%20%2B12%20%2B2%28-3%29%20%5C%5C%202%20%2B3%20%2B12%20-6%20%5C%5C%205%20%2B12%20-6%20%5C%5C%2017%20-6%20%5C%5C%2011%20)
Answer:
(-4,1)
Step-by-step explanation:
The given parabola is
![y = - \frac{1}{4} {x}^{2} - 2x - 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%7B1%7D%7B4%7D%20%7Bx%7D%5E%7B2%7D%20-%202x%20-%202)
When we rewrite in vertex form, we get;
![y = - \frac{1}{4} {(x + 4)}^{2} + 2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%7B1%7D%7B4%7D%20%7B%28x%20%2B%204%29%7D%5E%7B2%7D%20%20%2B%202)
Or
![{(x + 4)}^{2} = - 4( y - 2)](https://tex.z-dn.net/?f=%7B%28x%20%2B%204%29%7D%5E%7B2%7D%20%20%20%3D%20-%204%28%20y%20-%202%29)
When we compare to:
![{(x - h)}^{2} = 4p( y - k)](https://tex.z-dn.net/?f=%7B%28x%20%20-%20h%29%7D%5E%7B2%7D%20%20%20%3D%204p%28%20y%20-%20k%29)
We have 4p=-4
This means p=-1
But the vertex is at:
(-4,2)
Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.
Hence the focus is (-4,1)