Answer:
y=-x+3
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.
In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:
Therefore, our perpendicular slope is -1. We now have equation:
We can plug in the known values of the point (-1,4) to solve for b.
If we now put what we found together, we have equation
<em>I hope this helps! Let me know if you have any further questions :)</em>
Answer:
5%
Step-by-step explanation:
Given that:
Principal = $3000
Simple Interest paid = $600
Period = 4 years
Simple interest = principal * rate * time
$600 = $3000 * rate * 4
$600 = $12000 * rate
Rate = $600 /$12000
Rate = 0.05
Hence, simple interest rate paid = (0.05 * 100%) = 5%
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
2 is the smallest prime factor of 12. 12 can evenly be divided by 2 so that makes 2 the smallest prime factor of 12.
Answer:
5.7*10^-3
Step-by-step explanation:
