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earnstyle [38]
3 years ago
13

7-4(x+1/2)²=0 please help

Mathematics
1 answer:
vazorg [7]3 years ago
8 0

Step-by-step explanation:

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Identify any solutions to the system shown here.
OLga [1]
The answer would be B and D.  This can be found by putting the x and y values into the inequality to find whether or not they are true.

8 0
3 years ago
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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
Audrey and Lincoln work at a furniture store. Audrey is paid $225 per week plus
Ksivusya [100]

Answer:

$ 13600

Step-by-step explanation:

just make it g(x) = f(x)

225 + 0.105x = 361 + 0,095x

361 - 225 = 0.105x - 0.095x

136 = 0.01x

x = 136 / 0.01 = 13600

so that the weekly pay the same for both of them the value of x is $ 13 600

8 0
3 years ago
Determine the slope of the line that passes through the points (9, -3) and (-9, -6).
vlabodo [156]

The slope of the line would be 1/6x

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3 years ago
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ollegr [7]
Question 3 is 48
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