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777dan777 [17]
3 years ago
6

Triangle PQR has the following coordinates:

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

(-13,6)

Step-by-step explanation:

Rule for rotation 90 degrees clockwise around the origin

( x , y ) --------> ( y , -x )

Explanation of rule:

Swap the x and y values

Change sign of new y value

Find Q' after a rotation 90 degrees clockwise around the origin

Given coordinates of Q

(-6,-13)

Apply rotation 90 degree clockwise rule

(-6,-13) -------> swap x and y values -------- -> (-13,-6) -------> change sign of new y value --------> (-13,6)

Q' will be at (-13,6) after a rotation 90 degrees clockwise around the origin

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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
katrin2010 [14]

Answer:

The geometric series is given by:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first term and r be the common ratio.

The n^{th} term of a geometric sequence is given by:

a_n = ar^{n-1}

There are 16 teams remaining in round 4 and 4 teams in round 6.

Thus, we can write:

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4}=\dfrac{ar^3}{ar^5}\\\\4=\dfrac{1}{r^2}\\r^2=\dfrac{1}{4}\\\\r = \dfrac{1}{2}

Putting value of r in he equation we get:

16=a(\dfrac{1}{2})^2\\\\a = 16\times 2^3\\a = 128

Thus, the geometric sequence can be written as:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

5 0
3 years ago
I need help ASAP. Please and Thanks
salantis [7]

Answer:

(a) 42.25 km

(b) 616.85 km

(c)  32.31 cm

Step-by-step explanation:

(a) 1 cm on map: 4225000 / 100000 = 42.25 km on ground

(b) 14.6 cm on map: 42.25 x 14.6 = 616.85 km on ground

(c) 1365 km on ground: 1365 / 42.25 = 32.31 cm on map

8 0
3 years ago
HELP!!!!!!!!!!!!!!!!
Len [333]
Part A: Draw 5 (1 whole blocks). Then, under that draw 1/4's until you reach the end of the 1 wholes.

PartB: Sally needs 5 cups of sugar. If this is 14 of the number she needs to make cake, how many cups does she need?

PartC: Turn 5 into 5/1 keep 5/1 change the sign to multiplication, then flip 1/4 so it is 4/1. 
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3 years ago
Ten video games cost $145
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Answer:

each video game costs 14.5 dollars

Step-by-step explanation:

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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