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Triss [41]
3 years ago
10

Latrice is running a race in her neighborhood.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0
The unit rates that would be most appropriate wold be : m/s

Speed is calculated by : distance/time

Distance measured in meters while time measured in second

So, m/s will be the most appropriate measurement

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Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.
Inessa05 [86]

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

  • A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

  • AB = a - 0 = a, CD = a
  • AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

  • x = a, y = b

<u>Now the diagonals:</u>

  • AC = √(a-0)² + (b-0)² = √a²+b²
  • BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0
2 years ago
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What is the fourth term in the expansion of (x + 2y)^8?
Hatshy [7]
Base on my calculation and the simplification of the form and finding its 4th power of the x+2y, i came up with a solution and finally found an answer of B. 448x^5y^3, I hope i answer your questions directly and please feel free to ask for more and ask for clarifications
4 0
3 years ago
It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find
guapka [62]

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

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Gabe spends 25% of class talking. If class is 90 minutes how many minutes did he spend talking?
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He spent 27.7 repeating minutes of his class talking.
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Lina20 [59]

Answer:

3

Step-by-step explanation:

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