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2 years ago

What is the solution to this system of equations?

Mathematics

1 answer:

maksim [4K]2 years ago

8 0

Answer:x=3 y=1/2

Step-by-step explanation:

x+2y=4

2x-2y=5

Add both equations together

x+2x+2y-2y=4+5

3x+0=9

3x=9

Divide both sides by 3

3x/3=9/3

x=3

Substitute x=3 in x+2y=4

x+2y=4

3+2y=4

Collect like terms

2y=4-3

2y=1

Divide both sides by 2

2y/2=1/2

y=1/2

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What does the expression n + 3

GuDViN [60]

It means the sum of a number and 3.
Sum means to add up.

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2 years ago

A small ball floats on the surface of the water in a wave pool. As a wave moves past the ball, the ball's

stiks02 [169]

Answer:

The correct option is;

d(t) = 6·cos(π/3·t) + 28

Step-by-step explanation:

The general form of a cosine function is given as follows;

y = A·cos(B·x - C) + D

Where;

A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)

The amplitude = 1/2 × (34 - 22) = 6 inches

B = 2·π/P = 2·π/6 = π/3

P = The period = 6 seconds

C/B = The phase shift

D = The midline = Minimum + Amplitude = 22 + 6 = 28 inches

x = The independent variable

Therefore, to model the function of the wave can be given as follows;

d(t) = 6·cos(π/3·t) + 28

6 0

2 years ago

Brainliest to correct answer

aksik [14]

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

4 0

2 years ago

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Please Help I will reward brainliest

artcher [175]

It would be a straight line

5 0

2 years ago

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Tanya [424]

If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4

Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3

_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.

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2 years ago