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3 years ago

What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

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What is the solution to y-12=20

vredina [299]

Hey there!

y-12=20

Add 12 to both sides. (do the inverse of subtraction, which is addition)

y=32

Check answer.

32-12=20 <=== checks out :)

I hope this helps!

~kaikers

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3 years ago

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An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

Height = 4 inches

Volume of each pyramid = 1/3*3*4

= 4 cube inches.

To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

= 576/4

= 144

Therefore, the artist can make 144 pyramids.

Thank you.

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3 years ago

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2/10 in whole number

Margaret [11]

$\frac{2}{10}$

you just divide 2 by 10, which is

.2

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3 years ago

Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an eria

LUCKY_DIMON [66]

Answer: The greatest number of playlist Katherine can make =8

Each of playlist will have 4 pop songs and 9 rock songs.

Step-by-step explanation:

Given: The number of pop songs Katherine has= 32

The number of rock songs Katherine has= 72

If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.

We know that $32=2\times2\times2\times2\times2\\72=2\times2\times2\times3\times3$

We can see the GCF(32,72)= $2\times2\times2=8$

Hence, the greatest number of playlist Katherine can make =8

The number of pop songs= $\frac{32}{8}=4$

the number of rock songs= $\frac{72}{8}=9$

Each of playlist will have 4 pop songs and 9 rock songs.

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Delicious77 [7]

Answer:

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Step-by-step explanation:

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