Answer:
1.625
Step-by-step explanation:
Add 13 to both sides
8n = 26 - 8n
Add 8n to both sides
16n = 26
Divide both sides by 16
Your answer is 1.625
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The general equation of the circle is:
(x -xo)^2 + (y - yo)^2 = r^2
Where xo,yo are the coordinates of the center and r is the radius of the circle.
Here (xo,yo) is (-16,30) and you can find the radius.
You can find the radius using the equation of the distance (Pythagoras) between the center (-16,30) and any point on the circunference. Here use (0,0)
r^2 = (-16 - 0)^2 + (30 - 0)^2 = 1156
Then, the equation is>
(x - (-16) )^2 + (y - 30)^2 = 1156
=> (x + 16)^2 + (y - 30)^2 = 1156. <----- answer
Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
Hence,
The solution set is (2,4).
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Let the number be x.
(2/3)x = 3 1/2 + (3/8)x
(2/3)x - (3/8)x = 3 1/2
(8*2 - 3*3)/(8*3) x = 7/2
(16 - 9)/24 x = 7/2
(7/24)x = 7/2
7x/24 = 7/2 Divide both sides by 7
x/24 = 1/2
x = 24*1/2
x = 12
The number is 12.