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melisa1 [442]
3 years ago
8

11. What is the center of the circle (x - 2)2 + (y + 6)2 = 25?​

Mathematics
1 answer:
Tanya [424]3 years ago
4 0
If you’re solving for x, it’s x= 17/2 - y
If you’re solving for y, it’s y= 17/2 - x
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What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.
Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

\rm Altitude = \sqrt{xy}

Where x is DC and y is 5 units.

Then,

The length DC is.

\rm Altitude = \sqrt{xy}\\&#10;\\&#10;12 = \sqrt{(DC) \times 5}\\&#10;\\&#10;\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\&#10;\\&#10;

Squaring on both sides

\rm DC = \dfrac{144}{5}\\&#10;\\&#10;DC = 28.8

Considering right triangle BDC, use the Pythagorean theorem to find BC:

\rm BC^2 = DC^2+BD^2\\\\  BC^2 = (28.8)^2+(12)^2\\&#10;&#10;\\&#10;BC = \sqrt{829.44+144}\\&#10;\\&#10;BC = \sqrt{973.44}\\&#10;\\&#10;\rm BC = 31.2 \ units

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0
2 years ago
The initial population of a town is 3600​, and it grows with a doubling time of 10 years. What will the population be in 8 ​year
shutvik [7]
If is doubles in 10 years, then you should divide 2 by 10 to get the yearly growth rate equaling 1/5. Multiply 1/5 by 8 equals 8/5= 1 3/5. multiply that number by 3600, giving you 5,760.
8 0
3 years ago
What is 17/21 - 2/10 = ___ - ___ = ____
umka2103 [35]

Step-by-step explanation:

step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)

step 2. (17/21)(10/10) - (2/10)(21/21) = x

step 3. 170/210 - 42/210 = x

step 4. 128/210 = 64/105 = x

step 5. x = 64/105.

5 0
3 years ago
One end of a ramp is raised to the back of a truck 1 meter
Bogdan [553]

Answer:

26.6°

Step-by-step explanation:

8 0
3 years ago
Ata Sets
Fynjy0 [20]

Describe the data:

Mean=12

Interquartile range=7

Range=17

Do Not describe:

Range-23

Median=10

Interquartile range=12

6 0
2 years ago
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