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gtnhenbr [62]
2 years ago
10

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. His brother has a different rectangular pie

ce of land, the area of which is represented by a2 = l(14 − l). Let a represent the area in square meters and l represent the length in meters of the pieces of land. The two equations plotted on a graph meet at a point as shown in the image.
The area of the brothers’ pieces of land will be the same when the length is ______ meters.

Mathematics
2 answers:
Orlov [11]2 years ago
3 0

Answer:2

Step-by-step explanation:

SVEN [57.7K]2 years ago
3 0

Answer: 13

Step-by-step explanation:

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What is the equation of a circle with the center of (2,3) and crosses through the point (2,1)​
Triss [41]

Answer:   (x - 2)² + (y - 3)² = 4

<u>Step-by-step explanation:</u>

The equation of a circle is: (x - h)² + (y - k)² = r²    where

  • (h, k) is the center of the circle
  • r is the radius of the circle.

Given:  (h, k) = (2, 3)  and   (x, y) = (2, 1)

Input those values to find r²:

(x - h)² + (y - k)² = r²

(2 - 2)² + (1 - 3)² = r²

  0       +     4     = r²

                   4    = r²

Now input (h, k) = (2, 3) and r² = 4 into the equation of a circle:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - 3)² = 4

6 0
3 years ago
The period T (in seconds) of a pendulum is given by T=2\pi \sqrt((L)/(32)), where L stands for the length (in feet) of the pendu
Vsevolod [243]
The first thing we must do in this case is to rewrite the equation correctly:
 T = 2 * pi * root (l / 32)
 From here, we clear l:
 T / (2 * pi) = root (l / 32)
 l / 32 = (T / (2 * pi)) ^ 2
 l = 32 * (T / (2 * pi)) ^ 2
 Substituting values:
 l = 32 * (1.57 / (2 * 3.14)) ^ 2
 l = 2 feet
 Answer:
 
the length is:
 
l = 2 feet
7 0
3 years ago
Find the distance between (5, -4) and (-7, -5).
spayn [35]

Answer:

Step-by-step explanation:

12 I think

6 0
3 years ago
Please help im being timed :(!!!<br><br>I dont know what to do!
NNADVOKAT [17]

Answer:

Step-by-step explanation:

1) <u>B(1, 5)</u>

<u />

<u>Dilation</u>

(1,5) => (2x, 2y)

=> (1 x 2, 5 x 2)

=> (2, 10)

<u>Translation</u>

<u>(</u>2,10) => (x + 5, y - 3)

=> (2 + 5, 10 - 3)

=> (7, 7)

<u><em>B' = (7,7)</em></u>

2) <u>Translation</u>

(1,5) => (x + 5, y - 3)

=> (1 + 5, 5 - 3)

=> (6, 2)

<u>Dilation</u>

(6, 2) => (2x, 2y)

=>  (6 x 2, 2 x 2)

=> (12, 4)

<u><em>B' = (12,4)</em></u>

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Desmond lives in Melbourne and is taking a trip to Sydney. He can travel to Sydney and back in 333 different ways: by bus, cab,
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I think answer is a.
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3 years ago
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