Pls help me 20 points

Answer: y = 4.5

scale factor = 4/3

Answer:

Center: (3,-1)

Radius: 3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]

First, we have to convert the following standard circle equation to this:

[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]

where h is horizontal shift, k is vertical shift and r is radius.

That means we have to complete the square for both x-term and y-term.

Rearrange the equation:

[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]

For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:

[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]

For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].

For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.

[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]

From above, we add -9 because the original expression isn’t actual perfect square.

Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:

[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]

Transport -9 to add another side:

[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]

Complete the square:

[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]

Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.

Hence, from the equation:

The coordinate of center is (3,-1) with radius equal to 3.

The answer is 25

25x1 is 25

anything multiplied by 1 Is itself

Answer:

7 hours

Step-by-step explanation:

d=rt

d is distance

r is speed

t is time

here we need to find (t)

so d/r is t

so t is 455/65

t is 7

Answer:

351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.

Step-by-step explanation:

Volume Cylinder = 3.14(16)(7) = 351.68

Volume Half sphere = 2/3(3.14)(4) = 8 23/75

If you want both of them together just add up the two numbers.

Answer:

351.68 millimeters cylinder

8 23/75 millimeters half circle

Step-by-step explanation:

The z-score of the number of teens that transfered schools is the standard score

The obtained value of z is 5

The given parameters are:

The z-value is calculated using:

z = (x - μ)/σ

Substitute known values in the above formula

z = (100 - 50)/10

Evaluate the difference

z = 50/10

Evaluate the quotient

z = 5

Hence, the obtained value of z is 5

Read more about z-scores at:

https://brainly.com/question/25638875

Answer:

I believe your answer is A

Step-by-step explanation:

Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5

Hope this helps! :)

Answer: Number Sense – Understanding Quantity.

Representation – Using Symbols and Words to Represent Numbers.

Shapes and Spatial Relationships (Geometry)

Measurement – Comparing and Communicating about size.

Patterns – Recognizing and Making Patterns.

Problem Solving.

Step-by-step explanation: boom!

Answer:

price of leather thingy= $2906.62
price of stereo system = $581.33

Step-by-step explanation:

final cost minus cost of total before adding the leather.
  21,365.20
- 18,240.00
= $3125.2

to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33

there u go! pls give brainliest :D

Answer:

The answer is 2/3 or 0.67 square foot.

Step-by-step explanation:

Now,

A = 6l²

A = 6 × (1/3)² ft

A = 6 × 1/9 ft

A = 6/9 ft

A = 2/3 square foot

Thus, The surface area of cube is 2/3 or 0.67 square foot.

Answer:

Brand Y would have a better deal.

Step-by-step explanation:

Step 1. There are 1,000 grams in 1 kilogram. Knowing this, you can see that it would be $70 for 1,000 grams of rice and $20 for 400 grams of rice.
Step 2. You would have to do 70 divided by 1000 (0.07) and 20 divided by 400 (0.05) to see which has the better deal.
Step 3. Brand X is 7 cents per grain and Brand Y is 5 cents per grain, making Brand Y the better deal. I hope that this helps! :)

Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

27,700 - 21,400 = 6300

6300 / 9 = 700.

Answer:

7

Step-by-step explanation:

Degree of a polynomial is a variable's highest exponent

In this expression the degree is 7

Answer:

7

Step-by-step explanation:

If you used

P.E.M.D.A.S

Brainly please I worked so hard for this answer

Answer:

T

Step-by-step explanation:

The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores

Step-by-step explanation:

tbh I don't know I need help with that too please like this comment

The measure of the marked central angle of the sector will be 280°.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,

Arc / P = 7/9

Simplify the equation, then we have

(θ/2π) 2πr / 2πr = 7/9

θ/2π = 7/9

θ = 14π / 9

θ = 280°

The central angle of the sector will be 280°.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

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Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1

substitute y - 1 in for x in the first equation, to find y

y - 1 + y = 4

2y - 1 = 4

add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5

divide by 2 on both sides

2y/2 = 5/2

y = 5/2

subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2

so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

Answer:

  V = (4/3)π·5³ = 500π/3

Step-by-step explanation:

The formula for the volume of any sphere as a function of its radius is ...

  V = (4/3)π·r³

When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...

  V = (4/3)π·5³

__

When that is evaluated, the volume is found to be ...

  V = 500π/3 ≈ 523.599 . . . cubic units

Answer: 15

Step-by-step explanation:

Answer:

[tex]\sf \dfrac29[/tex]

Step-by-step explanation:

From the table:

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Girl)=\dfrac{18}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Girl)& = \sf\dfrac{P(Freshman \cap Girl)}{P(Girl)}\\\\ & = \sf \dfrac{4}{30} \div \dfrac{18}{30}\\\\ & \sf=\dfrac{4}{30} \times \dfrac{30}{18}\\\\ & = \sf \dfrac29\end{aligned}[/tex]

Answer:

72

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

Answer: 19.66 people/km^2, A

Step-by-step explanation:

The population density will be equal to 82.96 people/km2.

The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

here, we have,

Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.

The population density will be calculated as below:-

Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )

Density =19.66

Density = 19.66 people/km²

Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.

To know more about an expression follow:

brainly.com/question/9699102

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Answer:

Angle B=40 degrees

Angle C= 90 degrees

Angle E=50 degrees

Please Mark Brainliest

these answer- I am sure they ar correct

Answer:

65 degrees

Step-by-step explanation:

The angles will sum up to 360, just do 360 - all known angles

360 - 90 - 128 - 77 = 65

Answer:

Step-by-step explanation:

Sum of all angles is 360 degrees

Let the measure of angle M equal x.

x+90+77+128=360

x=65

Measure of angle M is 65 degrees

Answer:

25/50 = 5/10 = 1/2

Step-by-step explanation:

I hope it will be helpful

Answer:

Answer:

  (d)  N = 25

Step-by-step explanation:

The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.

  (4/5)N = 20

  (5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient

  N = 25 . . . . . simplify