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const2013 [10]
3 years ago
13

If x is equal to -6 which equality is true​

Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

-5 - 3x > 10

Step-by-step explanation:

x = -6

Plug in the x value for each inequality:

-5 - 3(-6) > 10

-5 + 18 > 10

13 > 10

True

-3 - 5(-6) < -14

-3 + 30 < -14

27 < -14

False

1 - 2(-6) > 13

1 + 12 > 13

13 > 13

False

2 - (-6) < -3

2 + 6 < -3

8 < -3

False

Only one of these is true; that is the answer.

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Last choice the area becomes 25 times greater

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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
The function C(L) = |L – 105| can be used to determine the difference between the expected and actual crop of lemons, L, from a
REY [17]

Answer:

w(C(L))= 0.25 |L - 105|

Step-by-step explanation:

you plug in C(L) into  L in w(L)

7 0
3 years ago
Suppose you invest $1000 in an account paying 8% interest per year.
marysya [2.9K]

Answer:

<h2><em>wasd    </em>     </h2>

Step-by-step explanation:

8 0
3 years ago
The points in the table lie on a line. Find the slope of the line.
Wewaii [24]

Answer:

Slope (m) = -\frac{3}{4}

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Where,

(-2, 5) = (x_1, y_1)

(2, 2) = (x_2, y_2)

Plug in the value into the slope formula:

Slope (m) = \frac{2 - 5}{2 -(-2)}

Slope (m) = -\frac{3}{4}

8 0
3 years ago
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