1. Which of the following is the equation of a circle with center (a, −b) and radius r?
A. (x−a)2+(y+b)2=r2

B. (x+a)2+(y−b)2=r2

C. (x+a)2+(y−b)2=r

D. (x−a)2+(y+b)2=r

2. A given circle has the equation x2+y2−4x−2y+4=1. What is the center of the circle?
A. (1, 2)

B. (−2, −1)

C. (−1, −2)

D. (2, 1)

Answer:

PQ ≈ 10.6 cm

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)

PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]

     = [tex]\sqrt{(-8)^2+7^2}[/tex]

     = [tex]\sqrt{64+49}[/tex]

      = [tex]\sqrt{113}[/tex]

      ≈ 10.6 ( to 1 dec. place )

Answer:

220

Step-by-step explanation:

V= whl = 5 · 11 · 4 = 220

Find the volume of a rectangular prism with the dimensions:

length: 4 yd

width: 5 ft

height: 11 ft

[tex] \bullet [/tex] Length of a rectangular prism = 4 yards = 4 × 3 = 12 feet.

[tex] \bullet [/tex] Breadth of a rectangular prism = 5 feet.

[tex] \bullet [/tex] Height of a rectangular prism = 11 feet.

The volume of a rectangular prism.

We know,

Formula of Volume of a rectangular prism is (Length × Breadth × Height) cubic units.

So, Volume = (12 × 5 × 11) cubic feet

Volume = 660 cubic feet

Answer:

24 is the ans...................

Answer:

1 1/2

Step-by-step explanation:

3/12 * 6

6 is simply 6/1 so

3/12*6/1

multiply from side to side so

3*6=18

and

12*1=12

18/12

simplify to a mixed number

18 goes in 12 once with a remainder of 6, or 18-12=6 so

1 6/12

6/12 can both be simplified by 6 so you divide both by 6

6/6=1 and 12/6=2

1/2

add it back to the whole number

1 1/2

Step-by-step explanation:

=0.085×102.99=8.754

111.744

Answer:

[tex]y=\frac{1}{4} +x[/tex]

Step-by-step explanation:

use desmos graphing calculator

Answer:

11 1/4 teaspoons

Step-by-step explanation:

So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.

5(3/4 + 1 1/2)

5(2 1/4)

10 5/4

11 1/4

Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4

We have to given that,

A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.

Here, Total amount of pepper and salt for each pot of spaghetti sauce is,

3/4 + 1 1/2

3/4 + 3/2

Make denominator same by taking LCM of 4,2 which is 4.

3/4 + 6/4

(3 + 6) / 4

9/4

Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,

5 x 9/4

45 / 4

Learn more about the multiplication visit:

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Answer:

1. Abiotic is the third answer

2. Biotic is the first answer

3. flora is the second answer

4. fauna us correct

Step-by-step explanation:

If        

Answer:

1 is the answer

Step-by-step explanation:

When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.

If this doesn't make sense i'l try to rephrase it, hope it helps though :)

Answer:

Soap A is a better buy.

Step-by-step explanation:

Soap A is 1 dollar with 42 more ounces.

Soap B is 4 dollars with 42 ounces less.

You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.

Let me know if that helps!

Answer:

Sara earned a commission of $2,300.

Step-by-step explanation:

To find the answer we will first divide 5 by 100 and we get 0.05.  Now multiply $46,000 by 0.05 and we get $2,300.  Therefore, $2,300 is our answer.

Answer:

C) Alternate Exterior Angles Converse Theorem

Step-by-step explanation:

Answer:

The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D

D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites

Step-by-step explanation:

From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines

Let 'A' represent one of the airlines and let 'B' represent the other airline

In the statistics hypothesis test we have;

The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes

The standard deviation to access airline A's website, s₁ = 0.8 minutes

The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes

The standard deviation to access airline B's website, s₂ = 1.1 minutes

The t-test is given as follows;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;

[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]

Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.

Answer:

False.

Step-by-step explanation:

A symmetrical data plot would look the same on each side. For example, it would look like this:

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

Answer:

The answer is c.

Step-by-step explanation:

Hope this helps =)

Answer:

C. )2,800

Step-by-step explanation:

Answer: 225 hamburgers were sold on friday

Step-by-step explanation:

Let x represent number of hamburgers

and x-75 represent cheeseburgers

such that total hamburgers and cheeseburgers sold on Friday equaling 375 can be represented as

x + (x-75) =375

2x-75=375

2x=375+75

2x =450

x=450/2=225

Hamburgers =225

cheeseburgers= x-75=225-75=150

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

[tex]A=P (1+rt)[/tex]

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

How to solve your problem

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)

Simplify

1

Distribute

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)

4(−22−7−5)−3(−22−7−5)

2

distribute

4(−22−7−5)−3(−22−7−5)

4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)

−83−282−20−3(−22−7−5)

3

−83−282−20−3(−22−7−5)

−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)

−83−282−20+62+21+15

4

Solution

−83−222++15

I know this looks like a lot but its just how you solve your problem.

therefor, your answer is

Solution

−83−222++15

Hope this helps!

Have a great day!

-Hailey

Answer:

thats cool not realy a question tho can I have brainlest

Step-by-step explanation:

Ed painted 95 faces of a large cube.

Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.

And the standard form of the cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.

Let's assume that the original cube that Ed made had n small cubes along each edge.

Then the total number of small cubes in the large cube is n³.

Let p be the number of faces that Ed painted.

Each small cube has 6 faces, and if a face is painted, it will not be visible after the large cube is assembled.

So the total number of unpainted faces is 6n³ - p.

When Nicole drops the cube, each small cube will be separated from the others, and all painted faces will become visible.  

So the total number of painted faces is equal to p minus the number of small cubes that don't have any painted faces, which is 45.

Therefore, we have a cubic equation:

p - 45 = 6n³ - p.

Simplifying this equation, we get:

2p =6n³ + 45

p = 3n³ + 22.5

We know that p is an integer, so 3n³ + 22.5 must be an integer.

This means that n³ must be a multiple of 2/3.

The smallest integer value of n that satisfies this condition is n = 3.

So Ed made a cube with 3 small cubes along each edge, and he painted:

the value of the cubic equation at 27,

p = 3n³ + 22.5 = 3(27) + 22.5 = 94.5 ≈ 95 faces of the large cube.

Therefore, 95 faces of the large cube.

To learn more about the cubic equation;

brainly.com/question/13730904

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The complete question:

Ed made a large cube by gluing together a number of small identical cubes and then he painted some of the faces of the large cube. His sister Nicole dropped the cube and it broke into the original small cubes. 45 of these small cubes didn't have any painted faces. How many faces of the large cube did Ed paint?

Answer:

y=-3/4+9

Step-by-step explanation:

First off we know that they are parallel, so they have to have the same slope.

y=-3/4

that is all we have for now, so we have to find b, the y intercept

we know that Street F passes through the point (4,6), so we graph that.

now we look at the graph and we can see that it look like we can translate it up 7 units.

this will give us the equation

y=-3/4+9

this is the answer hope this helps!

Answer:

The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.

Hope this helps.

Answer:

Step-by-step explanation:

5)

Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.

so first notice that EG is the total length

87 =  something

next notice that we have two parts   FG and EF

if those are added together we get the total or EG

so add the parts and set the equal to the total

87 = EF + FG

87 = 4x + 11  + 28

now we can solve for x,  recall  solving me  "isolate x"   :P  soo

87-28-11 = 4x

48 = 4x

12 = x  

yay

6)

EG = EF + FG

15 = 3x - 17 + 2x-8

15+17+8 =3x +2x

40 =5x

8 = x

yay

so do you see how to do those now?  :?

Answer:

∠ 1 = 102°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 33° + 69° = 102°

Answer:

102

Step-by-step explanation:

exterior angle rule:

an exterior angle of a triangle is equal to the two opposite interior angles

so m1= sum of opposite interior angles (69 and 33)

69+33=102

so m1 = 102