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Karolina [17]
3 years ago
11

Which explains whether or not the graph represents a direct variation?

Mathematics
2 answers:
Misha Larkins [42]3 years ago
6 0

Answer:

a. The graph has a constant of variation of 3, so it represents a direct variation.

Step-by-step explanation:

We have been given a graph and we are asked to find whether our given graph represents direct variation or not.

Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.

Direct variation equation is in form: y=kx, where k= constant of variation.

Slope intercept equation of line is in form: y=mx+b, where m= slope and b= y-intercept.            

Let us find equation of our given line in slope-intercept form.

We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.

Let us find slope of our given line.      

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{3-0}{1-0}  

m=\frac{3}{1}=3

Upon substituting m=3 and b=0 in slope intercept form of equation we will get: y=3x+0. Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.  


LekaFEV [45]3 years ago
3 0

Answer:A

Step-by-step explanation:

Boom that’s it

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2 years ago
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Olenka [21]

Answer:

centre = (1, - 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

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3 0
2 years ago
12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.​
ivanzaharov [21]

Answer:

32

Step-by-step explanation:

given the triangle is right triangle

c^2 = a^2 + b^2

40^2 = 24^2 + b^2

1600 = 576 + b^2

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6 0
2 years ago
Thank you to whoever helps!
shepuryov [24]

Answer:

  • M
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Step-by-step explanation:

The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.

This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.

__

Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)

4 0
3 years ago
What is the geometric mean between 7 and 12
Tresset [83]

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

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= root( 7 x 12)

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6 0
2 years ago
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