Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
Answer:
60
Step-by-step explanation:
I would assume you want the answer step-by-step:
We can count carefully and read the question again.
It is asking for us to count by tens or add ten to the most recent integer in the pattern.
In that case, we can see that our answer will by 50 + 10 = 60.
Also, note, that this question is not very intellectually challenging! Next time ask a question like "What do they mean when they say this?" If you don't understand the wording.
Answer: 12.32%
Step-by-step explanation:
1. is the original long side and is the original short side.
2. The area of the original rectangle is .
3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:
4. And the new short side is:
5. The new area is:
6. The percentage of increase is calculated by substracting the new area and the original area:
7. The result is:
(0.1232)(100)=12.32%
He drove 260 miles. Hope this helps