Answer:
y=3/4x-2
a=(8/3,0)
b=(0,-2)
m=3/4
Step-by-step explanation:
STEP 1
3x-4y =8 substract 3x from both sides
-4y=-3x+8 divide -4 to everything
y=3/4x-2
STEP 2
substitute 0 for y and solve for a (x-intercept)
I hope this helps you understand how to do the problem.
9514 1404 393
Answer:
12,566 ft ≈ 2.38 miles
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd
For a diameter of 4000 ft, the circumference of a circular crater is about ...
C = (4000 ft)(3.141593) ≈ 12,566 ft
At 5280 ft per mile, that distance is about ...
(12,566 ft)/(5280 ft/mi) ≈ 2.38 mi
The distance around the crater is about 12,566 ft or 2.38 miles.
Answer:
43 feet
Step-by-step explanation:
How far is referring to the distance between the two numbers given.
In general, the distance between two numbers, a and b,
is given by |b-a| .
You have that you are finding the distance between -45.5 ft and -88.5 ft.
So the distance between those numbers is given by:
|-45.5-(-88.5)|
|-45.5+88.5|
|88.5-45.5|
|43.0|
|43|
43 (Since the number inside the | | has a distance of 43 from 0)
The distance between -45.5 ft and -88.5 ft is 43 ft.
Ray wants to buy an item worth 500$ in the most cost-effective way. Let's study each of the 3 cases and see with option is the best.
In the first option, he'll buy the item at list price with a coupon for $10 off. So he'll buy it at 500-10 =$490.
In the second option, he'll buy a membership for $35 and then get the item at a 15% discount. With a 15% discount, the price of the item will be 500 - (500*0.15) = 500 - 75 = $425. And with the membership price, he'll pay a total of 425 + 35 = $460.
The third option is to buy the item online at a 10% discount and pay $4 for the shipping. At 10% discount, the price of the item will be 500 - (500*0.1) = 500 - 50 = $450. And with cost of the shipping, he'll pay a total of 450+4 = $454.
So if he chooses the first option, he'll pay $490. With the second, he'll pay $460. And finally with the third, he'll pay $454.
So the third option is the most cost-effective, buying the item at $454.
Hope this helps! :)
