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3 years ago

I need help the answers that are there are

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

Answer:

5 is congruent by HL this is because both have a right angle and a congruent side

6 you do not have enough information.

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write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-0)^2+(4-0)^2}$

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

$Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

2 years ago

Alma was shopping for a T-shirt at a store that advertised "15% off on everything in the store." The regular price of the T-shir

marshall27 [118]

Answer:

$13.60 is the correct sale price

Step-by-step explanation:

If a t-shirt is 15% off then you pay 85%. This means you will pay 0.85(16) = 13.60 is the correct sale price. $14 is not the correct price.

3 0

3 years ago

Read 2 more answers

Any number raised to the zero power always equals

Otrada [13]

Always equals 1. Always!

7 0

2 years ago

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SuperKrunch candy bars include both peanuts and almonds. Peanuts cost $5.00 per bag and almonds cost $8.50 per bag. The budget a

neonofarm [45]

Answer:

the answer is b

Step-by-step explanation:

got it right on the test

4 0

2 years ago

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Please help ASAP, thank you and have a good night/day❤️

wolverine [178]

Answer:

1. 6 (3)^2 = 54 ft ^2

2. 6 (2)^2 = 24 ft ^2

3. 54+ 24 = 78 ft^2

5 0

2 years ago

￼ I need help the answers that are there are

I need help the answers that are there are