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Oliga [24]
2 years ago
6

In the figure below, if the radius of circle o

Mathematics
1 answer:
Aliun [14]2 years ago
5 0

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

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Step-by-step explanation:

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3 years ago
Solve x + 3y = 9<br> 3x – 3y = -13 (1 point)
zavuch27 [327]

Answer:

(-1, 10/3)

x = -1

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Step-by-step explanation:

To solve a system, one of the methods you can use is <u>elimination</u>. To use elimination, you need <u>a variable to have the same coefficient in BOTH equations</u>. Since both equations have "3y", with the same coefficient (3), we can use this method.

We want to eliminate a variable by cancelling it out. Since positive 3y PLUS negative 3y is 0, the variable in eliminated. ADD each of the terms in the equations together.

.        x + 3y = 9

<u>+    3x – 3y = -13</u>

.     4x – 0y = -4           3y - 3y = 0        

.             4x = -4            Divide both sides by 4 to isolate 'x'

.               x = -1              Solved for the x-coordinate

Since we know one variable, 'x', we can easily find the other, 'y'. Substitute 'x' with -1 in any of the equations. Then, isolate 'x'.

x + 3y = 9

(-1) + 3y = 9

-1 + 1 + 3y = 9 + 1      Add 1 to both sides to cancel out left side.

3y = 9 + 1          Add on the right side (9 + 1 = 10)

3y = 10              Divide both sides by 3 to isolate 'y'

y = 10/3             Solved for the y-coordinate

Put the 'x' and 'y' coordinates together in an ordered pair, which you write as (x, y).

The solution to the system is (-1, 10/3).

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Solve for x in 2/3=x/4+x/3
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x = 8/7

hope this helps on whatever you are doing!

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Sholpan [36]

Answer:

y=scott the woz

Step-by-step explanation:

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