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finlep [7]
3 years ago
11

The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Mathematics
2 answers:
DENIUS [597]3 years ago
7 0

Answer:

B. (-1,4) is your answer (got it right on e2020)

Ksivusya [100]3 years ago
4 0

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is (x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}

Here, m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6

On substituting the values in the formula we get

(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}

\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}

\Rightarrow (x,y)=(-1,4)

Therefore, option 2 is correct that is (-1,4)

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ExtremeBDS [4]

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

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Step-by-step explanation:

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Read 2 more answers
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Julli [10]
Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

P(n)=-5n^2+400n-6000

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}

Solve the resulting quadratic equation above

\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

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What is 453.028 divided by sin(28) ?
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Answer:

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Step-by-step explanation:

Plug the values into a calculator (Make sure your calculator is on degrees, not radians

453.028 / sin(28)

= 964.97

(If this answer helps you, please consider choosing it as the 'brainliest answer'. I would really appreciate it :)

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