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Daniel [21]
2 years ago
10

Bentley was playing with 3 old dog toys and 6 new dog toys. If Bentley has 18 old dog toys how many new dog toys does he have?

Mathematics
1 answer:
lawyer [7]2 years ago
8 0

Answer: 36 new dog toys

Step-by-step explanation: With the given information, we can see that Bentley has a total of 18 old dog toys. IF Bentley is playing with a proportional relationship of toys, then all we have to do is multiply 6 by 6. Since 3 times 6 is 18, we have to do 6 times 6 which is 36.

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What do the following two equations represent?
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Answer:

yea 24

Step-by-step explanation:

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3 years ago
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
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grandymaker [24]

Answer:

D, E

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Not all angles are less than 90 so not C

All sides are different length so D

There is a right angle so E

Not all sides are greater than 90 so not F

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3 years ago
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Inessa [10]

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a mathematical sentence thar has an equal sign

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2 years ago
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FrozenT [24]
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Hope i could help. -\(-_-)/-

6 0
3 years ago
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