Determine the equation of the line given by the graph.

Mathematics

2 answers:

balandron [24]2 years ago

8 0

Answer:

y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask

Helga [31]2 years ago

8 0

Answer:

D. y = -7/2x+5/2

Step-by-step explanation:

The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.

Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.

Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)

$\frac{rise}{run}$ = $\frac{-1-6}{1-(-1)}$

= $\frac{-7}{2}$

= - $\frac{7}{2}$ (Same as option D)

Thus, the equation would have been: - $\frac{7}{2}$ x + $\frac{5}{2}$

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Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Which steps would prove the circles similar?

SSSSS [86.1K]

Answer:

See bolded below.

Step-by-step explanation:

Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -

Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.

The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D