Answer:
14256
Step-by-step explanation:
- 10/100×15840=1584
- 15840-1584=14256
- Answer =14256
Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
Answer:
5y + x = 5c
Step-by-step explanation:
Rewriting the equation, 15x - 3y = 7,
3y = 15x - 7
y = 5x - 7/3. The gradient is 5. The gradient of the perpendicular line is -1/5
The equation of the perpendicular to 15x - 3y = 7 passing through (0,c) is
(y - c)/(x - 0) = -1/5
(y - c)/x = -1/5
y - c = -x/5
y = -x/5 + c
5y = -x + 5c
5y + x = 5c
Answer:
88
Step-by-step explanation:
We can divide this into 3 shapes, a square, rectangle, and triangle.
Let's solve the area of each of these shapes and add them all up.
First, let's solve the square.
We know that one side is 4 ft so that means that the other side is also 4ft.
4*4=16
Our area of the square is 16ft^2
Let's solve the rectangle next,
Its length is 12ft and its width is 4ft.
12*4=48
So the rectangle area is 48ft^2
Now for the triangle
Remember that area of a triangle is a=hb/2
Our height is 12 ft and our base is 4ft
12*4=48
48/2=24
Triangle is 24ft^2
That means that we can add them all up
24+48+16=88
88ft^2 or 88
4/6=2/3
2/3+x/3+3/2
apply rule a/c+-b/c=(a+-b)/c
(2+x)/3+3/2 is your final answer
remove the parenthesis if you want i was just trying to show 2+x over 3