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Lera25 [3.4K]
3 years ago
14

Find the slope of

Mathematics
2 answers:
Anon25 [30]3 years ago
8 0

Answer:

(8,-9)

Step-by-step explanation:

using the principle of vectors, you match each number to their coordinates and add them

so we have (7+1,-12+3)

which is equal to (8,-9)

mixer [17]3 years ago
8 0

Answer:

5/2

Step-by-step explanation:

Formula: y2-y1/x2-x1

Labeled:

(1,3)

1 = x2

3 = y2

(7,-12)

7= x1

-12 = x1

In order:

3+12 / 1-7

=15/6

which is simplified to 5/2

so when trying to find the slope of two points you want to use a certent formula which is y2 minus y1 over x2 minus x1 and if the x1 or y1 is negative it will be plus.

first you need to label them and then put them in the order you labeled them to the formula. After subtract or add and if you can simplify it then simplified it to get your answer.

this is the best way I can explain it, sorry

:(

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Answer: Range - 12 Median - 59

Step-by-step explanation: To find the range order your numbers from least to greatest then subtract the smallest from the highest 61-49 = 12 then for the median do the same in ordering the numbers then count how many you have. The number in the middle is your median. If there is two add them and divided by two. 59. Hope this helped!

8 0
3 years ago
What will be the account balance after 20 years?
kompoz [17]

Answer:

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Step-by-step explanation:


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3 years ago
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Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      27

10                           {}     21

15                           {}     16

20                           {}    12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years)   {}     Cost (thousands of dollars)

0                           {}      35

5                           {}      40.2

10                           {}    46.3

15                           {}    53.2

20                           {}    61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

4 0
3 years ago
In an ellipse, the ratio of the distance between the foci and the length of the major axis is called:
Anni [7]

The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.

<h3>Definitions of dimensions in ellipses</h3>

Dimensionally speaking, an ellipse is characterized by three variables:

  1. Length of the <em>major</em> semiaxis (a).
  2. Length of the <em>minor</em> semiaxis (b).
  3. Distance between the foci and the center of the ellipse (c).

And there is the following relationship:

c = \sqrt{a^{2}-b^{2}} (1)

Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (e), which is defined by the following formula:

e = \frac{c}{a}, 0 \ge c \ge 1 (2)

The greater the eccentricity, the more similar the ellipse to a circle.

Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. \blacksquare

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

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2 years ago
Find the volume of a rectangular pyramid
Nesterboy [21]

Answer:

192 yd³

Step-by-step explanation:

The volume of a rectangular pyramid is given by the formula:

V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}

In this case: l = 9, w=8, h = 8

\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3

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