Answer:
Parallel lines will have the same slope, so m=3. The point (0, 2) is on the y-axis so it can be used as the y-intercept of the line; b=2. This gives rise to the equation: y= 3x + 2
Step-by-step explanation:
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps
Answer:
95 feet
Step-by-step explanation:
In Death Valley, hiking man starts at 65 feet above sea level and then descends 30 feet below sea level. The man needs 65 feed to reach sea level, then from there he travels 30 feet more.
Thus he travels the sum of this distances, i.e 65+30 = 95 feet
