First, we have
s1/r1 = s2/r2
The question also states the fact that
s/2πr = θ/360°
Rearranging the second equation, we have
s/r = 2πθ/360°
Then we substitute it to the first equation
s1/r1 = 2πθ1/360°
s2/r2 = 2πθ2/360°
which is now
2πθ1/360° = 2πθ2/360°
By equating both sides, 2π and 360° will be cancelled, therefore leaving
θ1 = θ2
Answer:
B
Step-by-step explanation:
If we graph these 2 line on a graphing calculator we can clearly see that Function 2 has been shifted up 9 units.
Answer:
6.50
Step-by-step explanation:
You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.
the change was $6.50
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
We're given that the gradient of the line is 4. Plug this into as m:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (1,10) as (x,y) and solve for b
Subtract 4 from both sides to isolate b
Therefore, the y-intercept of the line is 6. Plug this back into as b:
I hope this helps!
Answer:
b
Step-by-step explanation:
a x (b + c) = (a x b) + (a x c)
