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GrogVix [38]
3 years ago
5

What are the coordinates of the point on the directed line segment from (-7,-9) to (-5,7) that partitions the segment into a rat

io of 1 to 3
Mathematics
2 answers:
Art [367]3 years ago
4 0

Answer:

The top guy seems correct to me

Step-by-step explanation:

LiRa [457]3 years ago
3 0

9514 1404 393

Answer:

  (-6.5, -5)

Step-by-step explanation:

The first point is weighted by the length of the second segment, and vice versa.

  P = (3A +1B)/(3+1)

  P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

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Sphinxa [80]

Answer:

5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75

3 0
3 years ago
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3/2 x 4/3 x 5/4… x 2006/2005
Lady_Fox [76]

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping producta_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}, in which the products of <em>n</em> terms is

a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}..

In this particular case, t_{1} \ = \ 2 , t_{2} \ = \ 3, t_{3} \ = \ 4, ..... , in which each term follows a recursive formula of t_{n+1} \ = \ t_{n} \ + \ 1. Therefore,

\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003

6 0
2 years ago
What is the smallest 6 digit palindrome that can be divided by 99?
Galina-37 [17]
Answer: 54945

Smallest 5 digit number,which is also a palindrome and divisible by 99 is 54945
6 0
3 years ago
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Find the length of the arc. round your answer to nearest tenth
tigry1 [53]

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}

Using the definition of an arc length s

s = r\theta

\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)

\:\:\:\:= 41.9\:\text{mi}

4 0
3 years ago
Find an equation of the circle that has center (-6, 6) and passes through (3,-4)​
daser333 [38]

Answer:

(x+6)² + (y-6)² = 181

Step-by-step explanation:

equation of the circle in general is (x - a)² + (y - b)² = r²

center is (a, b) in our task a=-6 b=6

so equation of the circle is (x+6)² + (y-6)² = r²

we have point  (3,-4)​ ⇒ x=3 y=-4

put x y in equation of the circle ⇒  (3+6)² + (-4-6)² = r² ⇒r² =181

⇒The equation of a circle is (x+6)² + (y-6)² = 181

4 0
3 years ago
Read 2 more answers
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