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creativ13 [48]
2 years ago
14

Write the standard equation of a circle that passes through(-4,0) with center (-1,-4)

Mathematics
1 answer:
AysviL [449]2 years ago
3 0

The standard equation of the circle is x² + y² + 8x - 9 = 0 if the circle with center at (-1,-4) that passes through the point (-4,0).

According to the question,

The circle with center at (-1,-4) that passes through the point (-4,0).

To find the radius of the circle:

Radius r = √[(-4 - (-1))² + (0- (-4))²]

=√(-4+1)² + (4)²

=√9+16

=√25

=5.

In order to find the standard equation of the circle is

(x - (-4))² + (y - (0))² = (5)²

(x + 4)² + (y )² = 25

x² + 8x + 16 + y² = 25

x² + y² + 8x + 16 = 25

x² + y² + 8x = 25 - 16

x² + y² + 8x = 9

x² + y² + 8x - 9 = 0

Hence, the standard equation of the circle is x² + y² + 8x - 9 = 0.

Learn more about circle here

brainly.com/question/12238856

#SPJ4

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Please help show work
11111nata11111 [884]

I will lay out the answers according to the days you have on your picture.

Monday:

<em>1. -12 x -5 </em>

A negative multiplied by a negative will equal a positive answer. So:

<em>12x5= 60</em>.

To do this without a calculator, first do

<em>5x10= 50, </em>then

<em>5x2=10. </em>

<em>50+10= 60.</em>


<em>2. True or False: 27= 3 x 3^3</em>

First find out what 3 cubed is. That means 3x3x3. Since 3x3=9, and 9x3= 27, the 3 cubed is 27.

But you still need to multiply by 3 yet! 27x3=81.

So this question is false.


<em>3. True or False: (-) / (+) = (-)</em>

A negative divided by a positive is indeed negative. So this is true.


Tuesday:

<em>1. 18+ (-16)</em>

Like before, a negative and positive equal a negatvie. So the question is really asking: 18-16 = 2.


<em>2. 18/ -3</em>

Again, positive divided by a negative (or the other way around) will equal a negative. So 18/3=6, and add the negative sign, so the answer is -6.


<em>3. (-5)(6)(-7)</em>

When a negative is multiplied by a positive, the answer is negative. But, if the negative is multiplied by another negative, the answer is positive. So the answer here is positive.

(5)(6)(7)

=30 x 7

=210


Monday #2

<em>1. (-)(-)(-)</em>

When two negatives are multiplied, the answer is a positive. But when multiplied by another negative, the answer becomes negative once again.


<em>2. -(4^2)= -16  </em>

This answer is true. 4 squared is 16, and becomes negative because of the negative sign in front of the 4 squared.


<em>3. -50+20</em>

This is almost like asking 50-20 = 30. But because we are going towards 0 from the negative range, the answer will be negative.


Tuesday #2

<em>1. If a=-8, then 4a...</em>

4(-8)

=-32


<em>2. Question unclear...</em>


<em>3. (-)+(-)</em>

<em>= positive</em>


Wednesday

<em>1. -5+3-3</em>

+3-3=0

So the answer is just -5


<em>2. absolute value of -8/4</em>

Just take off the negative sign. So just 8/4.


<em>3. -12+(-5)</em>

= -12-5

=-17

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3 years ago
What is - 3/4 x (- 2/7) x 4/3? Explain your work
Naya [18.7K]
Hope this helped! the answer is 2^7

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3 years ago
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