Answer:
18.85
Step-by-step explanation:
The area of a circle is A= pi × r² (r being the radius)
The radius is half the diamter so the radius would be 6
Plug 6 into the equation for the radius
A = pi × 6²
A = pi ×36
A= 18.85
The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Given the points K(-2,5), L(1,3) and M(-5, 2p).
If KL is perpendicular to LM. Then we have
The slope of KL will be
KL = (1+2)/(3-5)
KL = -1.5
The slope of LM will be
LM = (1+6)/(3-2p)
LM = 7/(3-2p)
We know the product of the perpendicular lines is a negative one.
KL x ML = -1
-1.5 x 7/(3-2p) = -1
-10.5 = -3 + 2p
2p = -7.5
p = -3.75
More about the coordinate geometry link is given below.
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Answer: Just do it /Nike
Step-by-step explanation:
Answer:
y = -2x + 8
Step-by-step explanation:
The point slope form of an equation is written as
y = mx + c ...............(i)
Where m is the slope and c is the constant
Now we Know that the equation is
y + 2 = -2(x-5)
and the given points are
m= -2
x = 5
and y= -2
Putting these values in equation (i) to find the value of c
y = mx + c
it becomes
-2 = -2(5) + c
-2 = -10 + c
Adding 10 on both sides
-2 + 10 = -10 + 10 + c
8 = c
or c=8
Now we have the values of m and c
where m= -2 and c = 8
Point slope form of an equation is
y = mx + c
putting the values of m and c to get equation in slope intercept form is
y = (-2)x + 8
or
y = -2x + 8
Other method:
The given point slope form is
y + 2 = -2(x-5)
We have to change it in y= mx + c form
so solving it
y + 2 = -2x + 10
Subtracting 2 from both sides
y + 2 -2 = -2x + 10 -2
y = -2x + 8
which is same is
y=mx + c
so the required equation is
y = -2x + 8
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