Find the first rate of change...
(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2
So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:
y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)
3=-6/3+b
3=-2+b
b=5
So the relationship if the function:
y=-x/2+5 or more neatly...
y=(10-x)/2
Answer:
20925
Step-by-step explanation:
multiply 675 by 11 to get 7425. Add 7425 to 13500 to get 20925. To check minus 20925 by 7425. I got 13500. So this answer is reasonable.
The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.
Answer:
The measure of arc EBC is 220°
Step-by-step explanation:
step 1
Find out the measure of angle COB
we know that
m∠COB+m∠DOC=90° -----> given problem
we have that
m∠DOC=m arc DC -----> by central angle
m arc DC=50°
so
m∠DOC=50°
Find m∠COB
m∠COB+50°=90°
m∠COB=40°
step 2
Find out the measure of arc BC
we have that
m arc BC=m∠COB -----> by central angle
m∠COB=40°
therefore
m arc BC=40°
step 3
Find out the measure of arc EBC
we know that
m arc EBC=m arc EB+m arc BC
m arc EB=180° -----> because the diameter divide the circle into two equal parts
so
m arc EBC=180°+40°=220°
7. Obtuse
8. Acute
9. No, because it’s the hypotenuse
10. Yes, because that part is not the hypotenuse and it is less than the greatest angle
