Answer:
18
Step-by-step explanation:
Answer:
y = 5x - 14
Step-by-step explanation:
First point coordinates
x₁
5
y₁
11
Second point coordinates
x₂
7
y₂
21
Result
Slope (m)
5
m = 10 / 2 = 5 / 1 = 5
Your function
The entered points belong to an increasing, linear function.
Equation: y = 5x - 14.
Hope i helped :)
Answer:
As shown in picture, this is a trapezoid.
The area of a trapezoid is calculated by:
A = (base1 + base2) x height x (1/2)
To work out A, we need to find out base1, base2, and height.
base1 = YZ = 
base2 = XW =
Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.
=> A = (3 + 7) x 4 x (1/2) = 20
Hope this helps!
:)
Answer:
centre (5, 6 ) , r = 
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 the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = 