The required equation is:
Step-by-step explanation:
Let l_1 be the line through (-1, -2) and (5, 3)
and l_2 be the line we require which passes through (3,7)
We have to find the lope of l_1 first
we have to find the equation of line perpendicular to l1
The product of slopes of two perpendicular lines is -1
Let m_2 be the slope of l_2
Then
The general slope-intercept form is:
y=mx+b
Putting the value of slope
To find the value of b, we will put (3,7) in the equation
Putting the values of b and m in standard slope intercept form:
Hence,
The required equation is:
Keywords: Equation of line
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Answer and Step-by-step explanation:
Ok, it's basically just parts of a circle circumference and area equation. Let's start first by writing down both equations.
C = 2πr
C = πd
A = π
Now, all we have to do is plug in the values into those equations!
4. C = 2π(12) A = π(
)
r = 12
d = 24 <---- (12 times 2 equals 24)
C = 24π
A = 144π <---- (12 times 12 (itself) equals 144)
5. C = π4.8 A = π(
)
r = 2.4 <------- (4.8 divided by 2 equals 2.4)
d = 4.8
C = 4.8π
A = 23.04π <------- (4.8 times 4.8 equals 23.04)
6. 20π = 2πr A = π
r = 10 <------- (20π divided by π and divided by 2)
d = 20 <------- (20π divided by π)
C = 20π
A = 100π <------- (10 times 10 equals 100)
7. C = 2πr 81π = π
r = 9 <------- (81π divided by π and square rooted equals 9)
d = 18 <------- (9 times 2 equals 18)
C = 18π <------- (2 times 9 equals 18, times π)
A = 81π
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Hi there!
The correct answer is C) The administrator's calculation is not reasonable because my estimate of 500 is not close to 408. Let's use rounding to find our estimate. 423 is close to 400 and 931 is close to 900. If we subtract 400 from 900, we know that there was approximately 500 adults. Since 408 is not near 500, the administrator's calculation is not reasonable. In fact, they were 100 off from the correct calculation, also making it not reasonable.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
Step-by-step explanation:
we have to find formula for nth term of series for this problem
Thus, we see series is 12, 9 ,6
Thus, we can see that series is decreasing by unit of 3.
and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.
Hence, this is a decreasing AP series
In AP
nth term is given
nth term = a+(n-1)d
where a is the first term
d is the common difference
common difference is given by = nth term - (n-)th term
lets take 2nd and 1st term to get common difference.
d = 9-12 = -3
(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)
a = 12
thus, nth term = a +(n-1)d
nth term = 12 +(n-1)(-3)
nth term = 12 -3(n-1)
writing this in form of 
Answer
