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Norma-Jean [14]
3 years ago
9

Find the slope of the line that passes through the points (−2/3, 3/4) and (5/6, −1/2).

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

-\frac{5}{6}

Step-by-step explanation:

Use the slope formula :\frac{y2-y1}{x2-x1}

-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.

\frac{-1/2-3/4}{5/6-(-2/3)}

\frac{-5/4}{5/6+2/3}

\frac{-5/4}{9/6}

\frac{-5}{4} ÷ \frac{9}{6}

-\frac{5}{4} • \frac{6}{9}

-\frac{5}{2} • \frac{3}{9}

-\frac{15}{18}  

-\frac{5}{6}

Hope this helps! Let me know if I got it wrong.

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To measure a stone face carved on the side of a​ mountain, two sightings 900 feet from the base of the mountain are taken. If th
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Answer:

Height of the stone​ face = 66.29 feet

Step-by-step explanation:

Refer the given figure, here we need to find height of the stone​ face,

Height of the stone​ face = CD

CD = AD - AC

In ΔABC we have

             tan31=\frac{AC}{AB}\\\\tan31=\frac{AC}{900}\\\\AC=540.77feet

In ΔABD we have

             tan34=\frac{AD}{AB}\\\\tan34=\frac{AD}{900}\\\\AD=607.06feet

CD = AD - AC = 607.06 - 540.77 = 66.29 feet

Height of the stone​ face = CD = 66.29 feet

7 0
3 years ago
A rectangle with vertices located at (1,2), (1,5), (3,5), and (3,2) is stretched horizontally by a factor of 3 with respect to t
Vika [28.1K]

Answer:

  18 square units

Step-by-step explanation:

The given rectangle has an x-dimension of 3-1 = 2, and a y-dimension of 5-2 = 3. Stretching the x-dimension by a factor of 3 will multiply it to ...

  2×3 = 6

and give you a rectangle 6 units wide by 3 units high. Its area will be ...

  (6 units)(3 units) = 18 units²

5 0
3 years ago
Wht are the next three terms in the sequence -3 6 15 24
kogti [31]
6--3=9
15-6=9,
so
24+9=33,
33+9=42,
42+9=51
33,42,51
4 0
3 years ago
Read 2 more answers
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2160

Explanation:
Use the equation (n-2)180
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2160
6 0
3 years ago
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You just purchased two coins at a price of $670 each. Because one of the coins is more collectible, you believe that its value w
DerKrebs [107]

Answer:

The value of first coin will be $151.51 more than second coin in 15 years.

Step-by-step explanation:

You have just purchased two coins at a price of $670 each.

You believe that first coin's value will increase at a rate of 7.1% and second coin's value 6.5% per year.

We have to calculate the first coin's value after 15 years by using the formula

A=P(1+\frac{r}{100})^{n}

Where A = Future value

           P = Present value

           r = rate of interest

           n = time in years

Now we put the values

A=670(1+\frac{7.1}{100})^{15}

A=670(1+0.071)^{15}

A=670(1.071)^{15}

A = (670)(2.797964)

A = 1874.635622 ≈ $1874.64

Now we will calculate the value of second coin.

A=670(1+\frac{6.5}{100})^{15}

A=670(1+0.6.5)^{15}

A=670(1.065)^{15}

A = 670 × 2.571841

A = $1723.13

The difference of the value after 15 years = 1874.64 - 1723.13 = $151.51

The value of first coin will be $151.51 more than second coin in 15 years.

8 0
3 years ago
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