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2 years ago

Which of the equations below represents a line parallel to the y-axis? A. x = 4 B. x = -y C. x = y D. x = 4y

Mathematics

1 answer:

Eva8 [605]2 years ago

5 0

Answer:

x=4

Step-by-step explanation:

x=4 represents a line parallel to y-axis cutting the x-axis at (4,0).

x=-y represents a straight line passing through the origin with a negative slope.

x=y represents a straight line with positive slope and passing through the origin.

x=4y represents a straight line passing through origin having a positive slope.

You might be interested in

When you multiply a function by -1 what is the effect on its graph?

vlada-n [284]

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

5 0

3 years ago

George wants to purchase a gift for his father for Father’s Day that cost 67.25 if he has already saved 7/8 of the amount how mu

Arlecino [84]

Answer:

$58.84375, rounded ≈ $58.84

Step-by-step explanation:

You can do 67.25 x 7/8 (use a calc if you are lazy) = 58.84375

I'm guessing you don't need to round so I'm going to add both real and rounded answers

3 0

2 years ago

Which term has the definition "The mean, median, or mode of a dataset. Also known

Mice21 [21]

The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed. However, it all depends on what you are trying to show from your data.

3 0

2 years ago

Angle 1 measure 75 degree what is its complement

dalvyx [7]

I think it’s 76 because I added it that’s a way i solved it but you can also multiple it by 1 and it will give the the same answer

3 0

3 years ago

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find

Evgesh-ka [11]

Answer:

The equation of the circle is $(x+3)^2+(y-5)^2 = 17$

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the center of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation.

Find the center-radius form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

$(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5)$ .

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by $\sqrt[]{(a-c)^2+(b-d)^2}$ . So, let us use (1,4) to calculate the radius.

$r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}$ .

REcall that given a point $(x_0,y_0)$ . The equation of a circle centered at the point $(x_0,y_0)$ is

$(x-x_0)^2+(y-y_0)^2 = r^2$

In our case, $(x_0,y_0)=(-3,5)$ and $r=\sqrt[]{17}$ . Then, the equation is

$(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17$

4 0

3 years ago