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e-lub [12.9K]
3 years ago
15

I have 3 equations 9x+6, 2(5x-3) and 5y+14 how do i solve for x?

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
Set the equation equal to zero.

9x+6=0
Subtract 6 from both sides
9x = -6
Divide both sides by 9
x=-6/9
or -2/3

2(5x-3)=0
Distribute
10x-6=0
add 6 to both sides
10x=6
Divide by 10 on both sides
x=6/10 or 4/5

5y+14=0
-14 from both sides
5y=-14
divide both sides by 5
y=-14/5
or -2 and 4/5
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Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

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9 m<br> 3 m<br> 3 m<br> What is the area, in square meters, of the shaded region in the diagram?
NeTakaya

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

3 0
2 years ago
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