Answer: Horse at Z (1640.1m from barn)
To answer this question you need to determine each horse distance to their barn. For horse H the distance would be
X: 1-(-3)= 4
Y: 10-(-9)= 19
If you use <span>Pythagoras theory then the distance would be
</span>BH^2= 4^2 + 19^2
BH^2= 377
BH= 19.416
Horse H is 1941.6m from the barn
For horse Z the distance would be:
X: 10- (-3)= 13
Y: 1-(-9)= 10
BZ^2 = 13^2 + 10^2
BZ^2 = 269
BZ= 16.401
Horse Z is 1640.1m from barn, a bit closer than horse H
Y - 5 = 2/3(x + 3)
y - 5 = 2/3x + 2
y = 2/3x + 2 + 5
y = 2/3x + 7
One way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Answer:
ABC = 52 degrees
Step-by-step explanation:
Central angle = 108 degrees
Inscribed angles (ABC) intercept twice as many degrees of arc as the angle
108/2 = 54 degrees
