Answer:
13 cms
Step-by-step explanation:
By Pythagoras:-
x^2 = 12^2 + 5^2
x^2 = 144 + 25
x^2 = 169
x = √169
= 13
Use FOIL (First, Outside, Inside, Last)
x(x) = x²
x(9) = 9x
-2(x) = -2x
-2(9) = -18
x² + 9x - 2x - 18
simplify by combining like terms
x² + 9x - 2x - 18
x² + 7x - 18
x² + 7x - 18 is your answer
hope this helps
Answer:
y = - x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (5, - 8)
m = = = -
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 8), then
- 8 = - 6 + c ⇒ c = - 8 + 6 = - 2
y = - x - 2 ← is the equation of the line
Answer:
14
Step-by-step explanation:
Given:
diameter of circle x = 22 units
diameter of circle y = 16 units
wx = 15 units
Want to find: length of xy
First, I started out by halving the diameters to get to the length of the radii, as that's what was depicted in the problem:
circle x: 22/2 = 11
circle y = 16/2 = 8
Now, you just strategically add..
5 + (11-5) + (8-5)
5 + 6 + 3 = 14 units