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4 years ago

A rectangle is 3 1\3 feet long a n d 2 1\3 feet wide.what is tge distance around the rectangle

Mathematics

1 answer:

frozen [14]4 years ago

5 0

10. you have to multiply each number by two, then add those two numbers together

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Write the equation in standard form. Identity the center and radius.<br> 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

3 years ago

Sinx(cscx-sinx)=cos^2x

Yuri [45]

$\bf sin(x)[csc(x)-sin(x)]~~=~~cos^2(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(x)\left[\cfrac{1}{sin(x)}-\cfrac{sin(x)}{1} \right]\implies \underline{sin(x)}\left[\cfrac{1-sin^2(x)}{\underline{sin(x)}} \right] \\\\\\ 1-sin^2(x)\implies cos^2(x)$

recall again, sin²(θ) + cos²(θ) = 1.

3 0

3 years ago

A triangular brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the trian

Ad libitum [116K]

Answer:

Step-by-step explanation:

according to sine rule,

sin(30)/8=sin(x)/11

solving above equation will give

x=43.3

7 0

4 years ago

How much will the guitar be worth in 10 years?

Contact [7]

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

$V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487$ . Hope this helps!

8 0

3 years ago

Read 2 more answers

7/12 × 6\14 please help

Mama L [17]

7/12*6/14
7*6=42
12*14=168
=42/168
=0.25 =1/4

6 0

3 years ago