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3 years ago

Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

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3 years ago

Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how man

Cerrena [4.2K]

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

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3 years ago

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Solution :

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SEM 54.93 50.88

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Alternative hypothesis : The preparation course is effective in improving the exam scores.

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2 years ago

Do I solve this by equaling both equations to each other?

Mars2501 [29]

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8 0

3 years ago

Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?

kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0

3 years ago