Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Answer:
r = sqrt(16/pi)
Step-by-step explanation:
Cylinder formula = r^2 x pi x height
176 pi/11pi = 16
16 = r^2 x pi
16/ pi = r^2
r = sqrt(16/pi)
The principal loan amount will be 250000. P is denoted by the principal loan amount
<h3> What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the principal loan amount
r is the rate of interest = 2.49%
n is the time period= of 30 years
The formula for the principal loan amount is found as;


Hence the principal loan amount will be 250000.
To learn more about the amount, refer to the link;
brainly.com/question/12184047
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Answer:
Step-by-step explanation
Use Pythagoras theorem. The distance between the cars, 8km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km
x = sqrt(8^2 - 6^2) km.
You can crunch the numbers.