Answer:
Y=3x+2, Y= -3x-2
Step-by-step explanation:
If you need a consistent (parallel) line you must have very similar equations, with only positives and negatives being changed. If it's Y=3x+2, only the 2 is changed from negative to positive changing the lines position. If it's Y= -3x-2 then the X value is moved to a different coordinate and the -2 keeps the change.
Hope this helps and please critique what I've done if im wrong.
Answers:
- First Blank = 54
- Second Blank = 162
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Explanation:
The first blank represents the distance that corresponds to t = 1 hour.
We'll replace t with 1 to get...
d = 54t
d = 54*1
d = 54
Therefore, 54 goes in the first blank. It means that Isaac traveled 54 miles after 1 hour.
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We repeat these steps for t = 3
d = 54*t
d = 54*3
d = 162
This means he traveled 162 miles after 3 hours
So 162 goes in the second blank
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Side note: your teacher wrote 180 but s/he should have written 108 instead because 54*2 = 108
You would do:
t = time in years
14,800 = 10,000(1+0.08/4)^4t
1.48 = 1.02^4t
log_1.02(1.48) / 4 = t
((log 1.48)/ (log 1.02))/4 = t
t ~ 4,949 years
Answer:
area = 45
Step-by-step explanation:
triangle = 7*6. / 2 = 21
rectangle 4*6=24
24+21= 45ft squared
Answer:
y = (-4/3)x + 4
Step-by-step explanation:
Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.
Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3
So, at this point, y = (-4/3)x + b.
Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.
Thus, we plug in these values into the equation y = (-4/3)x + b, to get
0 = (-4/3)(3) + b
0 = -4 + b, so that
b = 4.
Hence, the answer is:
y = (-4/3)x + 4
