The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
Step-by-step explanation:
y=mx+c
Take c from both sides:
y-c = mx
Divide both sides by m:
(y-c) / m =x
Now swap sides to make it prettier:
x = (y-c) / m
The number is 999777888.
S<u>tep-by-step explanation:</u>
Reaching to the answer by solving the clues one by one.
The number is a 9 digit whole number. So it has to be 0 or greater than 0
The number is even .So its last digit will be even.
Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.
Each digit is greater than 6. So there will be no digits less than 7 in the number.
All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is a period
The number is greater than 7. So the digit in the millions place and higher is 9.
The number is divisible by 3. So the sum of all the digits should be divisible by 3.
The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.
Thousands digit is 7.
The number that satisfies all the given conditions is 999777888.
Answer:
The equation of the sraight line 3x- y+ 6 =0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the gradient of the function
|gradf| = 3 and point (-1,3)
Given that the slope of the line
m = 3
The equation of the straight line passing through the point(-1,3) and slope m =3

y-3 = 3(x-(-1))
y-3 = 3x+3
3x +3-y+3=0
3x- y+ 6 =0
<u><em>Final answer:-</em></u>
The equation of the sraight line 3x- y+ 6 =0
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