Answer:
The intercept of the given points is - 
Step-by-step explanation:
Given points as :
( 
, 
) = ( 
, - 7 )
( 
, 
) = ( - 4 , 5 )
Now, slope of line using given points can be written as :
Slope = m = 
or. m = ![\dfrac{5 - ( - 7 )}{( - 4 ) - [tex]\frac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%20-%20%28%20-%207%20%29%7D%7B%28%20-%204%20%29%20-%20%20%5Btex%5D%5Cfrac%7B3%7D%7B2%7D)
}[/tex]
or, m = ![\dfrac{12}{( - 4 ) - [tex]\frac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B%28%20-%204%20%29%20-%20%20%5Btex%5D%5Cfrac%7B3%7D%7B2%7D)
}[/tex]
or, m = 
Or, m = 
∴ m = 
So, The slope of the line using points = m =
now, equation of line in slope intercept form can be written as
y - = m × ( x - )
or, y - 5 = × ( x - ( - 4 ) )
or, y - 5 = × ( x + 4 )
Or, 11 × ( y - 5 ) = - 24 × ( x + 4 )
Or, 11 y - 55 = - 24 x - 96
Or, 11 y = - 24 x - 96 + 55
Or, 11 y = - 24 x - 41
∴ y = x -
Now, comparing with slope intercept equation
I.e y = m x + c , where c is the intercept
So, The intercept of points is -
Hence The intercept of the given points is - Answer
The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees
<h3>Law of cosines</h3>
The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:
c² = a² + b² - 2abcosC
Given the following
c = 16
a = 12
b = 9
Substitute
16² = 12² + 9² - 2(9)(12)cosC
256 = 144 + 81 - 216cosC
31 = -216cosC
cosC = -31/216
C = 98.25 degrees
Hence the measure of the largest angle in triangle abc is 98.25 degrees
Learn more on cosine rule here: brainly.com/question/23720007
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speed = 134.213 miles per hour
= 134.213 mi/h
Answer:
no idea
Step-by-step explanation:
Answer:
10626 different arrangements
Step-by-step explanation:
As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.
The formula for a permutation of n choose p is:
P(n,p) = n! / (n-p)!
So, using n = 23 and p = 3, we have:
P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626
So we have a total of 10626 different arrangements of first, second and third place.
