Start by finding the slope.
Pick 2 points on the line and find the “rise” and “run” between them.
To get from (0,3) to (4,0), you’d need to go “down 3” and “right 4”.
Since the slope is “rise over run” and a rise of “down 3” means a rise of “-3”, your slope is -3/4.
Next find the y-intercept: (0,3)
Use the 3 as your b-value for the slope-intercept form.
y=mx+b becomes y= -3/4 x + 3
X will equal -7 in this problem
Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
Answer:
28%
Step-by-step explanation:
start with $46 = 100% of starting price
coupon = 40% off starting price
40% off of 100% = 100% - 40% = 60% of starting price = price after coupon
60% = 0.6
60% of starting price = price after coupon = 0.6 * $46 = $27.6
then, a 20% processing fee is applied to the price after the discount
new price = $27.6 = 100% of new price
fee = 20% added to new price
20% added to new price = 100% + 20% = 120% of new price
120% = 1.2
final price = price after fee = 120% of new price = 1.2 * $27.6 = $33.12
change in percentange = (original price - new price) / original price * 100
= ($46 - $33.12) / $46 * 100 = 28%
Answer:
A is the answer
Step-by-step explanation: