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3 years ago

Write the equation of a circle givin by (x-3)^2+(y+7)^2=4

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

Answer:8

Step-by-step explanation:(

)

(

−

)

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

−

)

(

−

)

Match the values in this circle to those of the standard form. The variable

represents the radius of the circle,

represents the x-offset from the origin, and

represents the y-offset from origin.

−

The center of the circle is found at

(

)

Center:

(

−

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

−

)

Radius:

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PLSS HELP ILL GIVE YOU A BRAINLIEST AND 30 points!

jekas [21]

A :-) 1.) Given - base = 9 cm
height ( alt ) = 12 cm
hypotenuse ( hypo ) = x
Solution -
By Pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 9 )^2 + ( 12 ) ^2
( x )^2 = 81 + 144
( x )^2 = 225
( x ) = _/225
( x ) = 15 cm

.:. The value of x ( hypotenuse ) = 15 cm

2.) Given - base = 10 cm
Height = 24 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 10 )^2 + ( 24 )^2
( x )^2 = 100 + 576
( x )^2 = 676
( x ) = _/676
( x ) = 26

.:. The value of x ( hypotenuse ) = 26 cm

3.) Given - base = 3 cm
Height = 7 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 3 )^2 + ( 7 )^2
( x )^2 = 9 + 49
( x )^2 = 58
( x ) = _/58
( x ) = 7.6

.:. The value of x ( hypotenuse ) = 7.6 cm

4.) Given - base = 10 cm
Height = 6 cm
Hypotenuse = x
Solution -
By pythagorus theorem
( Hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 10 )^2 + ( 6 )^2
( x )^2 = 100 + 36
( x )^2 = 136
( x ) = _/136
( x ) = 11.6

.:. The value of x ( hypotenuse ) = 11.6 cm

5.) Given - hypotenuse = 24 cm
height = 6 cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 24 )^2 = ( x )^2 + ( 6 )^2
( x )^2 = ( 6 )^2 - ( 24 )^2
( x )^2 = 36 - 576
( x )^2 = -540
( x ) = _/-540
( x ) = 23.2

.:. The value of x ( base ) = 23.2 cm

6.) Given - base = 1 cm
height = 1 cm
hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 1 )^2 + ( 1 )^2
( x )^2 = 1 + 1
( x )^2 = 2
( x ) = _/2
( x ) = 1.4

.:. The value of x ( hypotenuse ) = 1.4 cm

7.) Given - hypotenuse = 21 cm
height = 8 cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 21 )^2 = ( x )^2 + ( 8 )^2
441 = ( x )^2 + 64
( x )^2 = 64 - 441
( x )^2 = -377
( x ) = _/-377
( x ) = 19.4

.:. The value of x ( base ) = 19.4

8.) given - height = 24 cm
Hypotenuse = 30cm
Base = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( 30 )^2 = ( x )^2 + ( 24 )^2
900 = ( x )^2 + 576
( x )^2 = 576 - 900
( x )^2 = -324
( x ) = _/-324
( x ) = 18

.:. The value of x ( base ) = 18 cm

9.) ( i ) lets find ‘x’
Given - base = 9 cm
height = 5 cm
hypotenuse = x
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( x )^2 = ( 9 )^2 + ( 5 )^2
( x )^2 = 81 +25
( x )^2 = 106
( x ) = _/106
( x ) = 10.2

.:. The value of x ( hypotenuse )
= 10.2 cm

( ii ) lets find ‘y’
Given - base = 3 cm
height = 5 cm
Hypotenuse = y
Solution -
By pythagorus theorem
( hypo )^2 = ( base )^2 + ( alt )^2
( y )^2 = ( 3 )^2 + ( 5 )^2
( y )^2 = 9 + 25
( y )^2 = 34
( y ) = _/34
( y ) = 5.8

.:. The value of y ( hypotenuse )
= 5.8 cm

4 0

3 years ago

Ill mark brainlist plss help

iVinArrow [24]

Answer:

Step-by-step explanation:

35 : 14 = 5 : 2

7 0

3 years ago

Read 2 more answers

What is the missing number that makes the fractions equivalent?<br> 1 4/7=?/42

mart [117]

Answer:

Step-by-step explanation:

You need to figure out 7 times what gets you 42

6 x 7 = 42

then you do the same for 14

14 x 6 = 84

sorry if this wasn't a good explanation

6 0

3 years ago

Can someone please help me with these questions?

nikitadnepr [17]

QUESTION 1

The given function is

$y = - 6x - 13$

The domain of this function refers to all values of x for which y is defined.

The given function is defined for all real values of x.

The domain is all real numbers.

The correct answer is A

QUESTION 2

The equation in column 1 is

$y = - 2 {x}^{2} - 4x + 12$

We obtain the vertex form as follows;

$y = - 2( {x}^{2} + 2x) + 12$

$y = - 2( {x}^{2} + 2x + {1}^{2}) - - 2 {(1)}^{2} + 12$

$y = - 2({(x + 1)}^{2}) + 2 + 12$

$y = - 2({x + 1)}^{2} + 14$

The x-value of the vertex is -1.

The equation in column 2 is

$y = {x}^{2} - 4x + 3$

We can also find the x-value of the vertex using the formula,

$x = - \frac{b}{2a}$

$x = - \frac{ - 4}{2(1)}$

$x = 2$
The correct answer is

B) The value found in column #1 is less than the value found in column #2

QUESTION 3

The height of the ball is modeled by

$h(t) = - 16 {t}^{2} + 64t$
where t equals the time in seconds and h(t) represents the height of the ball at time t seconds.

The axis of symmetry can be found using the formula,

$t = - \frac{b}{2a}$

$t = - \frac{ 64}{2( - 16)}$

$t = 2$

The correct answer is

A) t=2; it takes 2 seconds to reach maximum height and 2 seconds to fall back to the ground

QUESTION 4

The equation of axis of symmetry is given by the formula,

$x = - \frac{b}{2a}$

For the axis of symmetry of a given quadratic function to be zero, then the b-value of quadratic function should be zero.

The only equation from the given options whose b-value is zero is

$y = {x}^{2} + 2$

The axis of symmetry is

$x = - \frac{0}{2(1)}$

$x = 0$

The correct answer is C

3 0

3 years ago

Find the distance between the points (-8, -3) and (-2, 5). Hint: Use the Pythagorean theorem.

Drupady [299]

Answer:

1/5

Step-by-step explanation:

Use Pythagoras theorem

5 0

3 years ago