Answer:
(x - 10)² + (y + 9)² = 20
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle
To calculate r use the distance formula
r = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, - 9) and (x₂, y₂ ) = (12, - 13)
r = 
= 
= 
, hence
(x - 10)² + (y - (- 9))² = ()², that is
(x - 10)² + (y + 9)² = 20
F(x) = 8.
This is a constant function. No matter the value of x, f(x) will always be = 8
Therefore when x = 10, f(x) = 8.
The line x = -5 is a vertical line, therefore the line perpendicular to this line is the horizontal line of the form y = a.
We know that it passes through the point (1, π) → x = 1, y = π.
Therefore we have answer: A) y = π.
Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
Let's break this down into what each piece is.
One flat= one whole= 1
One rod= one tenth= 0.1
One unit= one hundredth= 0.01
a) We have 1 flat, 3 rods, and 7 units. Using what we know, we have 1 whole, 3 tenths, and 7 hundredths. So, this is 1 + 0.3+ 0.07. This equals 1.37.
b) 1 flat, 37 units. This is 1 whole, and 37 hundredths. When there are two digits that you want to put in the hundredths place, put the digit furthest to the right in the hundredths place (excluding decimals) and place the rest of the number to the left accordingly. So for us, 37 hundredths would be .37, not .037. Add up 1 and .37, and we have 1.37.
c) 13 rods, 7 units. This is like the last problem. We have two digits wanted to go in the tenths place, but that isn't possible. So, we take the digit all the way to the right and put it in the tenths place (3). Now, we take out remaining digits (1), and put it in the next space to the left. Our rods= 1.3. Now for our units. We have 7, so that equals 0.07. Add it together, and now we have 1.37.
All of the problems equal 1.37. This shows how many ways a number can be represented.
Hope this helped! If it's still confusing, feel free to comment. have a nice day!
