Use the distance formula to find the perimeter. Round to the nearest tenth

Answer:

We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

Answer and Step-by-step explanation: Equations of line through points and slope can be determined by:

[tex]y-y_{0}=m(x-x_{0})[/tex]

m is slope

Y-intercept is point (0,-2)

m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex]

m = [tex]\frac{-4-(-2)}{2-0}[/tex]

m = - 1

Equation:

[tex]y+2=-1(x-0)[/tex]

[tex]y=-x-2[/tex]

m = [tex]\frac{2-1}{4-3}[/tex]

m = 1

Equation:

[tex]y-2=(x-4)[/tex]

[tex]y=x-2[/tex]

m = -2

Equation:

[tex]y-2=-2(x-3)[/tex]

[tex]y=-2x+6+2[/tex]

[tex]y=-2x+8[/tex]

Answer:

It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.

Answer:

Step-by-step explanation:

1 kg = 1000 g

15 Kg = 15 *1000 = 15000 g

7.75 g = 1 cm³

1 g = 1 ÷ 7.75 cm³

15000 g = [tex]\frac{1}{7.75}*15000 = 1935.48[/tex]

              = 1935 cm³

Inner diameter = 6 cm

Inner radius = r = 6/2 = 3 cm

Outer radius = R = inner radius  + thickness

  R = 3 + 2 = 5 cm

Volume of cylindrical pipe = 1935 cm³

[tex]\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39[/tex]

h = 39 cm

Answer:

5.95

Step-by-step explanation:

that is because 96 is rounded too 100

so its 5.9500 = 5.95

Answer:

5.950

Step-by-step explanation:

5.9496

ones . tenths  hundredths  thousandths  ten thousandths

5       .  9              4                     9                   6

We are rounding to the thousandths place

so we look at the ten thousandths place

6 > 5 so we round up the the thousandths place

9 will go up so that forces the hundreds place up

4 becomes 5 in the hundreds place

5.950

Answer/Step-by-step Explanation:

Given, [tex]\frac{3}{4}*-4\frac{2}{9}[/tex]

Ivy solves this problem by writing each number as a fraction and then multiplies as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}* -\frac{38}{9} [/tex]

[tex] = \frac{3}{4}*-\frac{38}{9} = -\frac{3*38}{4*9} = -\frac{1*19}{2*3}[/tex]

[tex]= -\frac{19}{6}[/tex]

Fabian solves this problem by writing the mixed number as a sum and applies the distributive method of multiplication as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}(-4 + -\frac{2}{9}) [/tex]

[tex] = \frac{3}{4}*-4 + \frac{3}{4}*-\frac{2}{9} [/tex]

[tex] = -\frac{3}{1} + \frac{1}{2}*-\frac{1}{3} [/tex]

[tex] = -3 + (-\frac{1}{6}) [/tex]

[tex] = -3 - \frac{1}{6} = -3\frac{1}{6} [/tex]

Answer:

4/63

Step-by-step explanation:

20/315 = (20÷5)/(315÷5)

Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

Area = 6.76 cm²

To find the radius substitute the value of the area into the above formula and solve for the radius

That's

[tex]6.76 = \pi \: {r}^{2} [/tex]

Divide both sides by π

We have

[tex] {r}^{2} = \frac{6.76}{\pi} \\ r = \sqrt{ \frac{6.76}{\pi} } [/tex]

r = 1.46689291

We have the final answer as

radius = 1.47 cm

Hope this helps you

Answer:

B. 17

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

7 (7 + x) = 8 (13 + 8)

49 +7x = 8*21

7x = 168 - 49

7x = 119

x = 119/7

x = 17

Answer:

Hypothesis

Step-by-step explanation:

The hypothesis is an educated guess that can be tested through experimentation.

Answer:

Total number of matches need to win = 15

Step-by-step explanation:

Given:

Total number of race completed = 45

Total races win = 30

Success rate = 75% = 0.75

Find:

Total number of matches need to win

Computation:

Assume, extra number of matches = y

Extra number of win matches = x

So,

(30 + x) / (45 + y) = 0.75

Assume y = x

So,

(30 + x) / (45 + x) = 0.75

30 + x = 33.75 + 0.75 x

x = 15

Total number of matches need to win = 15

Answer:

3y² + y - 10

Step-by-step explanation:

Assuming we're finding the area:

[tex](3y-5)(y+2)\\3y^2+6y-5y-10\\3y^2+y-10[/tex]

Answer:

3y² + y - 10

Step-by-step explanation:

(3y -5) (y + 2)

3y² + 6y - 5y  - 10

3y² + y - 10

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

[tex]\boxed{Graph A.}[/tex]

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)

Answer:

22.08 ft^2

Step-by-step explanation:

First find the area of the full circle

A = pi r^2

The diameter is 15 so the radius is 1/2 (15) = 7.5

A = (3.14) (7.5)^2

   =176.625

45 degrees is  a fraction of a circle which is 360 degrees

45/360 = 1/8

Multiply the area of the circle by this fraction

1/8 (176.625) =22.078125

Rounding to the nearest hundredth

22.08

Answer:

22.08 ft2

Step-by-step explanation:

1 liter = 1000mL

Divide 1000mL by mL per minute:

1000 / 5 = 200 minutes ( 3 hours and 20 minutes)

Answer:

2n+7

Step-by-step explanation:

First lets find the common difference which is 2, now we can use this formula to find the nth term.

an = a1 + (n - 1 ) d

an= 9+(n-1)2

=9+2n-2

=2n+7

To check let's insert n=5, 2(5)=10+7=17.

15+2=17!

Answer:

.71

Step-by-step explanation:

We only need to look at the brown eyes row

2+2+10 =14

Brown hair is 10

P(brown hair) = brown hair / total

                        =10/14 =5/7 = .714285714

[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]

[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]

[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].

[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]

Answer as a fraction = 1/25

Answer in decimal form = 0.04

Answer in percent form = 4%

Explanation:

There are 5*5 = 25 different outcomes, of which only one outcome has 5,5. The probability of picking two 5s is 1/25 = 0.04 = 4%

Answer:

4%

Step-by-step explanation:

the first one is, yes by AA

the second is no you cannot

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Square roots are usually in the form a√b where a and b are any rational number.

Answer:

9--7

Step-by-step explanation:

Answer:

Perimeter: 88m

Step-by-step explanation:

Area of the square plot = (Side) X (Side)

And we are given the area is 484m²,

therefore, (Side) X (Side) = 484m²

or,

(Side)² = 484, taking square root on both the sides,

[tex]\sqrt{(Side)^{2} }[/tex] = [tex]\sqrt{484}[/tex]

Side = 22m.

And we know that, perimeter of a square is = 4 X (Side)

Therefore, Perimeter = 4 X 22 = 88m

:-)

Answer:

88m

Step-by-step explanation:

Area = 484m^2

A= s^2

484= s^2

s=[tex]\sqrt{484}[/tex]=22m

∴22m=s

⇒So, Perimeter= 4a=22*4= 88m

Answer:

The surface area of the sphere 1s 615.75 sq. unit.

Step-by-step explanation:

The surface area of a sphere [tex]A_s[/tex] = 4·π·r²

Given that the radius of the sphere = 7, we have

The surface area of the sphere = 4 × π × 7^2 =  615.75 sq. unit    

The surface area can also be derived from the volume of the sphere by differentiation as follows;

Volume of a sphere, V = 4/3·π·r³

(The volume of the sphere is 4/3·π·7³ = 1436.76 cube unit)

dV/dr = d(4/3·π·r³)/dr = 3×4/3·π·r² = 4·π·r²

The surface area of the sphere = 615.75 sq. unit.

Answer:

90 degrees

Step-by-step explanation:

see image

make x A

y B

z C

AB=3 (given)

AC=9 (given)

measure of angel B or y, is 90

if

x= A

y= C

z= B

then the hypotenuse would be shorter than one of the legs

3<9

so B has to be the right angle (90 degrees)

Answer:

4/6

Step-by-step explanation:

Im pretty sure***

but if a dice has 6 sides, and you have to get something less than 5, which is 1-4, which is 4 numbers, so 4 out of 6 total is 4/6

Answer & Step-by-step explanation:

For this problem, we have two inequalities to solve for x.

3x - 91 > -87

17x - 16 > 18

Now that we know what our inequalities are, we will solve them as if we are solving for the value of x.

3x - 91 > -87

Add 91 on both sides.

3x > 4

The solution for the first inequality is 3x > 4

Now let's do the second inequality.

17x - 16 > 18

Add 16 on both sides.

17x > 34

Divide by 17 on both sides.

x > 2

The soultion for the second inequality is x > 2

Answer:

The answer is x>2

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

All you need to do is locate the point (3,1) on the graph and figure out which two lines are intersecting it. In this case it is A and D so that is your solution.

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

Answer:

100 days

Step-by-step explanation:

the doctor works 5 hrs per day, which means 20 patients per day, in 100 days he will be able to treat 2000 patients