Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Answer:
<h3>A (3, 1)</h3>
Step-by-step explanation:
If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.
Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))
C' (-(-3), -(-1))
C' = (3, 1)
Hence option A is correct
Answer:
the answer is the second one
Step-by-step explanation:
I took the lesson adn the trst i put the first one in the first tyr but it was th second one tust me
Answer:
<h3>Eleven-per miles who doesn't know that or 11.✌️</h3>
Answer:
It seems that problem might have an error.
population = 600 * e ^ (.02*t) where e = 2.718281828459
So, at day 1 we have
day 1 population = 600 * 2.718281828459 ^(.02*1) = 32.62
day 2 population = 600 * 2.718281828459 ^(.02*2) = 88.67
We can see that the population doubles in less than one day but the lowest of those multiple choices is 34.657 days
Step-by-step explanation:
