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4 years ago

2x − 4y = 36 −x + 2y = −18 ( x,y) =

1 answer:

3 0

In this system of equations, x and y have an infinite number of solutions.

We can see this when we try to solve, either by elimination or by substitution.
For substitution, we can take the equation -x + 2y = -18 and rearrange to get x = 2y + 18.
Then we can substitute this into the first equation:

2(2y + 18) - 4y = 36
4y + 36 - 4y = 36
36 = 36
which gives us no solutions.

For elimination, we can multiple the second equation by -2 so that the y coefficient is also -4:
-2(-x + 2y) = -2(-18)
2x - 4y = 36
which just gives us the first equation.

Therefore, we can deduce that any solution that would work for one equation will work for the other equation, so there are an infinite number of solutions.

I hope this helps! Let me know if you have any questions :)

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Find the slope of the line passing through the points (-6,9) and (-6, -7).

jeyben [28]

Answer:

Slope is Zero 0

Step-by-step explanation:

this is because the line is horizontal and therefore has no slope

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3 years ago

How do you solve this

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The answer would have to be 4x^2y

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3 years ago

What pattern do you notice in the numbers below? 1 = 1 × 1, and 1 × 1 × 1, and 1 × 1 × 1 64 = 8 × 8, and 4 × 4 × 4 729 = 27 × 27

11111nata11111 [884]

Answer:

<h3>C. They are both perfect squares and perfect cubes.</h3>

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1 and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

4 0

3 years ago

WILL GIVE BRAINLIEST!!!!!! Look at the picture of a scaffold used to support construction workers. The height of the scaffold ca

maksim [4K]

Answer:

A). PR = 16.13 ft

B). QR = 9.64 ft

Step-by-step explanation:

Part (A).

From the figure attached,

ΔPQR is a right triangle,

m(PQ) = 14 ft

m(QR) = 8 ft

By applying Pythagoras theorem,

Hypotenuse² = (Leg 1)² + (Leg 2)²

(PR)² = (PQ)² + (QR)²

(PR)² = (14)² + (8)²

PR = √260

= 16.125

≈ 16.13 ft

Part (B).

If PR = 17 feet

and PQ = 14 feet

By applying Pythagoras theorem in ΔPQR,

PR² = PQ² + QR²

(17)² = (14)² + (QR)²

(QR)² = 289 - 196

QR = √93

= 9.644

≈ 9.64 ft

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3 years ago

How much money will be in an account at the end of 7 years if $3000 is deposited at 4% interest compounded 4 times per year?

Greeley [361]

The total will be $6,360.
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3 years ago