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Natali [406]
3 years ago
6

Line ab contains the points a(-2,3) and b(4,5). Line ab has a slope that is

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Given two points A = (A_x, A_y),\ B = (B_x,B_y), the slope of the line passing through the two points is

m = \dfrac{A_y-B_y}{A_x-B_x}

So, in your case, you have

m = \dfrac{3-5}{-2-4} = \dfrac{-2}{-6} = \dfrac{1}{3}

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If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

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

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0
2 years ago
Multiply.<br> 2 1/7 x 3 2/3<br><br> Answer with a mixed number in the simplest form
viva [34]

Answer:

7 6/7

Step-by-step explanation:

2\frac{1}{7} × 3\frac{2}{3} =

\frac{15}{7} × \frac{11}{3} =

\frac{165}{21} =

7\frac{6}{7}

4 0
2 years ago
) [7 − 2x + 5y − (x − y)] − (5x + 3y − 7)​
ale4655 [162]

Answer:

[7-2x+5y-(x-y) -[5x+3y-7]

= 7-2x+5y-x+y-5x-3y+7

=7+7-2x-x-5x+5y+y-3y

=14-8x+3y

=-8x+3y+14

Step-by-step explanation:

6 0
3 years ago
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denis23 [38]
If the three dollars isn't charged onto each ticket the answer should be $102.75
8 0
3 years ago
Jack says that because kites do not have parallel sides, a square is not a kite. Explain his error in thinking.
PtichkaEL [24]

Answer:

Square is a kind of kite.

Step-by-step explanation:

Consider the provided information.

Kite is a flat shape with two pairs of sides and each pair is made of two adjacent sides that are equal in length.

Square has four equal sides and four equal angles of 90°

Square is a kind of kite because it has two pairs of equal adjacent side.

Hence, square is a kind of kite.

5 0
3 years ago
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