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N76 [4]
3 years ago
7

Describe Henry's location relative to the library.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

Part 1)

Henry's location is at the ordered pair (-3,4)

Libray's location is at the ordered pair (2,-3)

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair (-3,4)

Libray's location is at the ordered pair (2,-3)

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

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Is the quotient of 3/5 ÷ 6/7 greater than or less than 3/5? Explain
Vikki [24]

The quotient of two fraction is the multiplication between the first and the inverse of the second:

\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}

So, in your case, you have

\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}

So, now it is clear that

\dfrac{7}{10} > \dfrac{6}{10}

3 0
3 years ago
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Let f be the function given by f(x)=ln x/x for all x 0. the derivative of f is given by
Dmitriy789 [7]
Using the quotient rule

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6 0
3 years ago
a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pou
Semenov [28]

Answer: S = 20 lbs L = 45 lbs.  Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

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3 years ago
Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
timama [110]

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

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What is the inverse function of f(x)=x/x-2
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0.87

Step-by-step explanation:

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