Slope of AB = (5 - 2)/(7 - 4) = 3/3 = 1
slope of BC = (2 - 2)/(4 - 9) = 0
m<span>∠ABC = arctan 1 = 45°
</span>
Answer:
8.74
Step-by-step explanation:
The distance can be calculated by Distance Formula , as :-
⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]
⇒ D = √ [ ( 3 + 2)² + (5+2)² ]
⇒ D = √ 5² + 7²
⇒ D = √ [ 25 + 49 ]
⇒ D = √ 74
⇒ D = 8.74 units .
-12y + 27
So what you do is take the numbers outside the (parentheses) which in this case is -3 and then multiply it to positive 4y and -9 to get your answer!
Answer:
20.8 inches squared
Step-by-step explanation:
Area of spinner:
45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then
45.1/5=9.02
9.02*12=108.24
K=1/2(r^2)sin150
108.24=1/2(r^2)sin150
216.48=(r^2)1/2
432.96=r^2
r=20.8
Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1