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.
In order to calculate standard deviation, apply the standard deviation formula, which is given in the attached file. In this formula, we are finding the square root of the sum of the square of given values less their mean value (the sum of the given numbers divided to their amount) divided to N-1, where N is the amount of the given numbers. When we calculate the mean, it is 42.7 and the standard deviation is 10.02275
It would be still be X. Any number times 1 is that number. For example 3x1=3 and 325x1=325 :)
Answer:
Let x be how far from the tower can it be placed
by Pythagorus theorem
x^2 + 96^2 = 105^2
x=√(105^2 -96^2 )=√1809 = 42.532340 = 42.5 ft
Answer:

Step-by-step explanation:
We are given that
Two parallel sides of trapezoid are


Height of trapezoid, h=4 cm
We have to find the area of the trapezoid.
We know that
Area of trapezoid=
Where a and b are two parallel sides
h=Height of trapezoid
Using the formula
Area of trapezoid=
Area of trapezoid=