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kolezko [41]
3 years ago
15

A standard unit of measurement in astronomy is the astronomical unit, or au. it equals is about 150,000,000,000 m. in 2000, pion

eer 10 was more than 11 million km from earth. how many aus is this?
Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

First we convert the m to km by dividing the number by 1000. 1000m = 1 km.

150,000,000,000 / 1000 = 150,000,000 km

Now we divide 150,000,000/11,000,000 = 13.6363636364 au.

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

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