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Solnce55 [7]
3 years ago
6

A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 8 meters per second. She continues t

o descend for 20 secconds. What depth is she now?
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0
You basically just multiply 8 by 20.
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Marysya12 [62]

Answer:

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Step-by-step explanation:

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3 years ago
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If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?
kondaur [170]

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, x_1=-8, y_1=-6, x_2=-4, y_2=-14

$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)

$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)

$P(x, y) =(-6, -10)

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Here, x_1=-6, y_1=-10, x_2=-8, y_2=-6

r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}

r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}

r=\sqrt{(-2)^{2}+(4)^{2}}

r=\sqrt{20} units

The standard form of the equation of a circle is

(x-a)^{2}+(y-b)^{2}=r^{2}, where (a, b) are center and r is the radius.

Here, center = (–6, –10) and r=\sqrt{20}

(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}

(x+6)^{2}+(y+10)^{2}=20

Equation of the circle is (x+6)^{2}+(y+10)^{2}=20.

4 0
3 years ago
HELP ASAP!!!!! HELP FAST!!!!!
mr_godi [17]

Answer:

no they are not because 11, 14 is the only one that has a vertices

Step-by-step explanation:

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3 years ago
A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?
Usimov [2.4K]

No.


The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

3 0
3 years ago
Danielle’s aunt is 8 years than 3 times Danielle’s age. Her aunt is 34. Write an equation that relates Danielle’s age, a, to her
OverLord2011 [107]

Answer:

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation:  3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.  

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as:  3a - 8.  We also know her aunt is 34.  So, the equation becomes:

3a - 8 = 34

Add 8 to both sides:  3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3:  3a/3 = 42/3

Solve for a:  a = 14, so Danielle's age is 14 years old.  

7 0
3 years ago
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