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creativ13 [48]
3 years ago
6

The radius of Earth is about 3,980 miles. What expression can be used to find the approximate diameter of Earth?

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
To find the diameter, you use the formula: 2x. we use 2x because the radius is 2 times the diameter.

so, if the radius is 3,980, then we substitute that into the formula.

2(3,980)

this will give us 7960. the diameter is 7960 miles.
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4+1>4

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This is completing the square.

So x^2-6x-12=0

Add 12 to both sides so x^2-6x=12

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6 0
3 years ago
Solve the system. Enter the smallest x-coordinate first
pentagon [3]

y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2

Step-by-step explanation:

Solving the following system of equations:

x^2-y=1\\2x^2+y^2=17

Let

x^2-y=1\,\,\,(1)\\2x^2+y^2=17\,\,\,(2)

Putting value of x^2 in eq(2)

x^2 = 1+y\\Putting\,\,value\,\,of\,\,x^2\,\,in\,\,eq(2)\\2(1+y)+y^2=17\\2+2y+y^2=17\\y^2+2y+2-17=0\\y^2+2y-15=0\\Factorizing:\\y^2-3y+5y-15=0\\y(y-3)+5(y-3)=0\\(y+5)(y-3)=0\\y+5=0 \,\,and \,\, y-3=0\\y = -5  \,\,and \,\, y=3

Now, finding value of x

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x^2 = 1+y\\x^2=1-5\\x^2=-4\\Taking\,\,square\,\,root\\x= \pm2i

y=-5, x= 2i and y=-5 , x= -2i

Since we need to find x and y coordinates and its value cannot be in terms of i so we will not consider these as answer

Putting y=3

x^2 = 1+y\\x^2=1+3\\x^2=4\\Taking\,\,square\,\,root\\x= \pm2

So, y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2

Keywords: system of equations

Learn more about system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/13168205
  • brainly.com/question/7361044

#learnwithBrainly

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