To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
There are several information's of immense importance already given in the question.
Amount of juice that Tony actually had = 11/2 gallons
Amount of juice that Tony drank = (11/2) * (2/7) gallons
= 11/7 gallons
From the above deduction, we can easily conclude that the amount of juice that Tony drank was 11/7 gallons.
Answer:
<h2>Convert the <em>mixed numbers</em> to </h2><h2><em>improper fractions</em>, </h2><h2>then find the
<em>LCD</em> and combine.</h2>
<u />
<u>Exact Form:</u>
11/8
<u>Decimal Form:</u>
1.375
<u>Mixed Number Form:</u>
1 3/8
2-2n=3n+17
2= 5n+17
0= 5n+15
-15= 5n
-3= n
Answer:
x = -3.25
Step-by-step explanation:
2/5 = 0.4
0.4x - 0.2 = -2(3/4)
-2(3/4) = -2/1 * 3/4 = -6/4
0.4x - 0.2 = -6/4
Convert to fraction
2/5x - 1/5 = -6/4
Add 1/5 to both sides
-6/4 + 1/5 = -30/20 + 4/20 = -26/20
2/5x = -26/20
Convert to decimal
0.4x = -1.3
-1.3/0.4 = -3.25
x = -3.25