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2 years ago

The area of a bedroom is 150 ft.² theory of a scale drawing is 6 in.² what is the scale factor

Mathematics

1 answer:

Kipish [7]2 years ago

7 0

Answer:

900

Step-by-step explanation:

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Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

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

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

1 year ago

Need answers please !!!!

kow [346]

inital height is 2 meters

Step-by-step explanation:

5 0

2 years ago

Answer choices: A: y=x B: y=1/4x -2 C: y= -x + 7/4 D: y= 7/4x -2

Nuetrik [128]

Answer:

b: y=1/4x -2

Step-by-step explanation:

It says the answer in the question. the slope on the graph is really just 1 though.

5 0

1 year ago

Simplify (4s5t−7−2s−2t4)3. Write your answer using only positive exponents. Evaluate any numerical powers.

schepotkina [342]

Answer:

−21

Step-by-step explanation:

=12s5t−6t4−6s−21

5 0

2 years ago

4.1338 divide by 0.22

Murljashka [212]

I got the answer 18.79

I believe this is correct, Please tell me if im wrong. :)

3 0

2 years ago

Read 2 more answers