Answer:
(1/4,-121/8)
Step-by-step explanation:
Answer:
radius = 21
circumference = 138.88
Step-by-step explanation:
First divide the area by 3.14, this equal 441
441 is your radius squared.
Then you have to find the root of 441 which is 21.
radius = 21
diameter = twice the radius or 2 * radius
diameter = 21 * 2 = 42
diameter = 42
Then plug 42 in your circumference formula.
Which is then C = 3.14(42).
Which means the circumference is 131.88.
Answer:
[Vertex form]
Step-by-step explanation:
Given function:

We need to find the vertex form which is.,

where
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have

First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.


Isolating
and
terms on one side.
Subtracting both sides by 15.


In order to make the right side a perfect square trinomial, we will take half of the co-efficient of
term, square it and add it both sides side.
square of half of the co-efficient of
term = 
Adding 36 to both sides.


Since
is a perfect square of
, so, we can write as:

Subtracting 21 to both sides:


Dividing both sides by -3.

[Vertex form]
Always use the formula (y2-y1)/(x2-x1) to find a line’s slope, given two points:
(-1- -8)/(4-5) = 7/-1 = -7
-7 is the slope
Step-by-step explanation:
3x-4y=13
y=-3x-7
3x-4(-3x-7)=13
3x+12x+28=13
15x=-15
x= -1
y= -3x-7 = 3-7= -4
( -1, -4)