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Bumek [7]
3 years ago
9

The height of a basketball hoop in a scale drawing is 6 inches. Cindy multiplies this height by a scale factor to find the heigh

t of the actual basketball hoop, which is 120 inches.
Mathematics
2 answers:
inna [77]3 years ago
8 0
6 * scale factor = 120
6x = 120
x = 120/6
x = 20 <== the scale factor
sweet-ann [11.9K]3 years ago
4 0
60 inches would be the correct answer because 6 times 60 is equal to 120
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You want to go to the skate park, and you have two options:
Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

<u>Define the variables</u>

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

<u>Work to solve</u>

For Sami's skate

c = 6 and m = 2

For Brad's skate

c =10 and m = 1

<u>The equations</u>

The equation is derived using: y = mx + c

For Sami's skate

y = 2x + 6

For Brad's skate

y = x + 10

<u>When the cost are the same</u>

To do this, we equate both expressions

i.e.

y = y

2x + 6 = x + 10

2x -x = 10 - 6

x = 4

i.e. the cost are the same at the 4th hour

<u>What is the cost</u>

Substitute 4 for x in any of the equations

y = x + 10

y  = 4 + 10

y  = 14

<em>The cost is $14.00</em>

3 0
3 years ago
Use the remainder theorem to find P(−2) for P(x) = 2x^4+2x^3−2x-4
Law Incorporation [45]

Answer:P(2) = 2(2)³ - 2(2)²- 3

= 16 - 8 - 3

= 5

Remainder or value of P(2) = 5

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
2y)(2y + 8) = ? A. 4xy – 16x – 4y2 – 16y B. 4xy + 16x – 4y2 – 16y C. 4xy – 4y2 D. 4xy + 16x + 4y2 + 16y 8…
Vilka [71]
4y^2 + 16y
You distribute the 2y into the 2y+8
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4 years ago
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OLEGan [10]
1,176. Your Welcome!!!
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3 years ago
(x-yi)(3+5i) is the conjugate of 6+24i
Nataly_w [17]

Answer:

x=-3

y=3

(-3-3i)(3+5i)

Step-by-step explanation:

(x-yi)(3+5i)\\=3x+5xi-3yi+5y\\=(3x+5y)+(5x-3y)i\\

and we have that must equal

6-24i

3x+5y=6

5x-3y=-24 and if we work it we found out that the solutions are

x=-3 and

y=3

5 0
3 years ago
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