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3 years ago

How do you solve this

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Try unplugging your computer all the way and them leave it unplugged about 3 min and then re plug it in

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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

Find the approximate perimeter of the trapezoid? PLSSS HELPPP

choli [55]

Answer:

Step-by-step explanation:

side 1 = |18-3|= 15

side 2 = |12-3| = 9

side 3 = |16-4| = 12

side 4: $\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4$

perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49

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2 years ago

Which is the BEST estimate for the value of x?

Lapatulllka [165]

To solve this, I would square root all of the possible answers and see which ones the arrow falls between. After that I would choose the answer closest to it.

Hope this helps!

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2 years ago

For every 15 students on a field trip, there needs to be one teacher. What is minimum number of teachers needed for a group of 1

jonny [76]

Answer:

7 teachers

Step-by-step explanation:

you decide 100 by 15 which equals 6.7 since you can't have half a teacher you round it to 7 teachers.

6 0

3 years ago

Read 2 more answers

709,189<br> +348,987<br> ________

Leni [432]

Answer: 1058176

check:

1058176 - 709,189= 348,987

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3 years ago