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Leto [7]
3 years ago
13

Solve this system using the linear combination method. Show your work.

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

Let's solve for x.

4x+2y=5

Step 1: Add -2y to both sides.

4x+2y+−2y=5+−2y

4x=−2y+5

Step 2: Divide both sides by 4.

4x

4

=

−2y+5

4

x=

−1

2

y+

5

4

Let's solve for x.

−4x−5y=7

Step 1: Add 5y to both sides.

−4x−5y+5y=7+5y

−4x=5y+7

Step 2: Divide both sides by -4.

−4x

−4

=

5y+7

−4

x=

−5

4

y+

−7

4

Answer:

x=

−5

4

y+

−7

4

Step-by-step explanation:

I hope this helps

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The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0
3 years ago
Solve by factoring : x^2-5x-36=0
il63 [147K]

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

x^2-9x+4x-36

and then:

x(x-9)+4(x-9)

so the answer is:

(x-9)(x+4)

3 0
2 years ago
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Serjik [45]

They didn't make it easy. Grid lines are apparently 3 apart, but the offered coordinates are all multiples of 4. It appears the only point that is in the doubly-shaded area is ...

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4 0
3 years ago
Find the volume. Help asap. Please.
alexgriva [62]

Use the Pythagorean theorem to find the diameter:

Diameter = √(19.3^2 - 9.5^2)

Diameter = √(372.49 - 90.25)

Diameter = √282.24

Diameter = 16.8 m

Volume of a cylinder = PI x r^2 x h

r = 1/2 diameter = 16.8 /2 = 8.4

h = 9.5 m

Volume = PI x 8.4^2 x 9.5

= PI x 70.56 x 9.5

= PI x 670.32

In terms of PI volume = 670.32PI

As a decimal:

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Answer:

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Step-by-step explanation:

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