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maw [93]
3 years ago
10

Solve the linear system of equations using addition. Graph the equations to verify your solution.

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

Infinite solutions.

Step-by-step explanation:

-4x = y + 3......(1)

y = -4x - 3........(2)

Rearranging equation (1)

y = -4x - 3 ------(3)

Adding  (2) and (3) we get

0 = 0.

The original equations are identical and their graph will be the same straight line.

Any point on the line is a solution of this system, so there are infinite solution.


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What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?
Rudik [331]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2      Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2   The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b    To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

1 = 3(6) + b  

1 = 18 + b     Subtract 18 on both sides to get "b" by itself

1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17    Your answer is the 1st option

8 0
3 years ago
Read 2 more answers
A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
3 years ago
Please help me with this question URGENT PLEASE ANSWER THIS MATH QUESTION
lesya [120]

Answer:

(4,0)

Step-by-step explanation:

The object is first at (0,0)

It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;y=0\\\\x=-2-2=-4\\\\\\=(-4,0)

The image (-4,0) is then reflected on the y-axis

You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.

Hence;

(- -4,0)= (4,0)

The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)

6 0
3 years ago
16 + 2q = 6 what’s this?
nika2105 [10]

Answer:

6 - 16 = -10

-10/2 = -5

q = -5

4 0
3 years ago
What is radians converted to degrees? If necessary, round your answer to the nearest degree.
Tomtit [17]

To convert radians to degrees, make use of the fact that pi<span> radians equals one half circle, or 180º.</span>

<span>This means that if you divide radians by </span>pi, the answer is the number of half circles. Multiplying this by 180º will tell you the answer in degrees.

<span>So, to convert radians to degrees, multiply by <span>180/</span></span>pi, like this:

Degrees= radians X 180/pi

<span>                                    </span>

3 0
3 years ago
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