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nika2105 [10]
3 years ago
10

A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function

of how long he has been riding his bike
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Would the answer be 6? or 9?

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A cyclist travels 4 miles in 15 minutes and then a further 6 miles in 25 minutes without stopping.
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Total distance traveled = 4 + 6 = 10 miles

Total time = 15 + 25 = 40 minutes

Speed = 10 miles ÷ 40 minutes = 0.25 mph

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What is an equation of the line that passes through (2,2) and is parellel to the line y=7x
laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

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Slope = m = 7

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Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

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3 years ago
Factor completely, the expression: 2x^3-2x^2-12x
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2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)
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Decomposing to solve 527-139
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Answer:

388

Step-by-step explanation:

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elena-s [515]

Answer:

36.25 and 307.18

Step-by-step explanation:

both are 100 times greater than 20.342.

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