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JulijaS [17]
3 years ago
8

What does this equal

Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

<h2>7.1 × 10⁸</h2>

Step-by-step explanation:

You must divide the diameter of Mars by the diameter of softball.

(7\times10^7):(0.098)=\dfrac{7\times10^7}{0.098}=\dfrac{7\times10^7:7}{0.098:7}=\dfrac{10^7}{0.014}\\\\=\dfrac{10^7}{\frac{14}{1000}}=10^7\times\dfrac{1000}{14}=\dfrac{10^7\times10^3}{14}=\dfrac{10^{7+3}}{14}=\dfrac{1}{14}\times10^{10}\\\\\dfrac{1}{14}\approx0.071\to\dfrac{1}{14}\times10^{10}\approx0.071\times10^{10}=0.071\times10^2\times10^8\\\\=7.1\times10^8\\\\\text{Used}\ a^n\times a^m=a^{n+m}

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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

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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

Putting y=-5

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

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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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