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maw [93]
3 years ago
12

C.6 12. Expand & simplify: (x - 5)(x-4)

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

(x - 5)(x-4)

= x(x) - 4(x) - 5(x) - 4(-5)

= x^2 - 4x - 5x + 20

= x^2 - 9x + 20

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A stick is broken into two pieces, at a uniformly random break point. Find the CDF and average of the length of the longer piece
Oksanka [162]

Answer:

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

Step-by-step explanation:

let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that

U≤ l and 1-U ≤l

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

this means 1-l≤U≤l

so we have

if we have L  [1/2,1]

then apply the formula we have E(L)=3/4

5 0
4 years ago
The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
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Answer: F (cos(230)).
Explanation:
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6 0
2 years ago
What is the circumference of a circle with diameter 24 m
marshall27 [118]

Answer:

24\pi

Step-by-step explanation:

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3 years ago
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