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fiasKO [112]
3 years ago
8

What is the equation of a line that passes through (2,6) and is perpendicular to the line y=-2x+4

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0

Answer:

y = 1/2x + 5

Step-by-step explanation:

The first thing you should know about a perpendicular line is that the slope is the opposite reciprocal. So, the slope is 1/2. This is your current equation: y= 1/2x + b. Plug in your point to the equation, it should look like this: 6 = 1/2(2) + b. 1/2 x 2 equals 1. This is what it should look like: 6 = 1 + b. Subtract 1 from both sides to get 5 = b. Go back to your original equation and plug in 5. This is your final equation: y = 1/2x + 5. Hope this helped!

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It takes adrian 12 minutes to swim 4 laps . how many hours will it take to swim 50 laps ?
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150 minutes, or 2 hours and 30 minutes

Step-by-step explanation:

We know that it takes him 3 minutes per lap when you divide 12/4.


Hope this helps!


~CoCo

5 0
3 years ago
Combine Radicals/Fractional Exponents
Crazy boy [7]

\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}

\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}

\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}

\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}

\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}

\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}

\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}

\bigstar\;\;\mathsf{a = \dfrac{5}{4}}

\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}

\bigstar\;\;\mathsf{c = -3}

\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}

\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}

7 0
3 years ago
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jeka94
439:937 is the ratio
8 0
4 years ago
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What number is 0.72 more than 0.971?
bearhunter [10]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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marin [14]

Answer:

the last one

Step-by-step explanation:

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24

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