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harina [27]
3 years ago
8

I REALLY NEED HELP QUICK!

Mathematics
1 answer:
Leni [432]3 years ago
4 0

Answer:

y=1/2x-5

Step-by-step explanation:

From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation

(y_{2} -y_{1})/(x_{2}-x_{1} )

We can substitute in the points so it looks like

(-4--5)/(2-0)  or  1/2 which is the slope of the function

Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5

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lara [203]
The answer is 8/3 or 2 2/3 for the first one.
3 0
3 years ago
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

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3 years ago
What is 144÷8 in distributive property
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4 years ago
Read 2 more answers
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Step-by-step explanation:

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= $540.

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= $540 - $450 = $90.

The markup from cost to sale is $90.

6 0
2 years ago
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