(x + 6)² + (y - 2)² = 100. What is the center of the circle? What is the radius of the circle?

Answer:

a = 14

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

a² - 10a + 7a + 26 = 180

a² - 3a + 26 = 180 ( subtract 180 from both sides )

a² - 3a - 154 = 0 ← in standard form

(a - 14)(a + 11) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 14 = 0 ⇒ a = 14

a + 11 = 0 ⇒ a = - 11

Since a > 0 , then a = 14

Answer:

Parallel if they have the DIFFERENT y-intercept

If they don’t have the different y-intercpet, its just coincide

Answer:

Step-by-step explanation:

22

Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

Answer:

I really dont know so u do it

Step-by-step explanation:

Answer:  It's 29 degrees.

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Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

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Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

Answer:

-4/5y - 4/5x

Step-by-step explanation:

The fraction ( -4/5 ) will multiply each component in the bracket. That is the (y) and the (x)

So -4/5 × y gives you -4/5y

and -4/5 × x gives you -4/5x

Therefore you have -4/5y - 4/5x

Answer:

angle don+angle gil=90°

don+ 74°=90°

don=90°-74°

don=16°

angle e + angle a=180°

128°+angle a=180°

angle a=180°-128°

angle a=52°

Answer:

1. 16°

2. 52°

Step-by-step explanation:

So!! Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. With this, it should be really easy. To find the measure of angle DON:

m∠DON + m∠OIL = 90°

m∠DON + 74°=90°

m∠DON=16°

For the measure of angle A:

m∠A+m∠E=180°

m∠A+128°=180°

m∠A=52°

Hope this helped!

Answer:

Step-by-Margin of Error  = 1.96 x  7.75 = 15.19

step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii)  

iv) therefore Margin of Error  = 1.96  7.75 = 15.19

Answer: 13.5

Step-by-step explanation:

Answer:

the front face of the barn: 78m^2

Step-by-step explanation:

look at the photo

The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,

Area of the barn front = Area of the triangle + Area of the rectangle

                                     = (5 × 12) + (0.5 × 3 × 12)

                                     = 60 m² + 18 m²

                                     = 78 m²

Hence, the area of the front face of the barn is 78 m².

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Answer:

20/132

Step-by-step explanation:

There is a 5/12 chance of event A happening, Event B has a 4/11 chance happening so you multiply the chances together and get  20/132

Schachter's two-factor theory claims that individual labels emotions based on how they are interpreted.

The Schacter two-factor theory states that emotion is the product of the interplay of two variables:

This theory suggests that physiological excitation is cognitively understood and interpreted within the setting of each encounter, resulting in the emotional experience.

The relationship between bodily arousal and how we cognitively perceive that arousal is the subject of the two-factor theory of emotion.

Learn more about Schachter's two factor theory here:

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Answer:

James-Lange theory

Step-by-step explanation:

Answer:

[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]  

So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

Answer:

option A. 5 apples for $2.50

Step-by-step explanation:

You must find the price per apple for each option by dividing the cost in cents by the number of apples. 250 cents divided by 5 apples gives you 50 cents per apple, while option c is 55 cents per apple, option b is 60 cents per apple, and option d is 52 cents per apple.

Answer:

R2976

Step-by-step explanation:

2400(1+0.06×4)

=R2976

Answer:

a, 112/8

b, $14, found it by dividing

c, 270/8. Now he should charge $33.75. This is correct because 33.75*8=270

Step-by-step explanation:

Answer:

this is your answer of first one..

Answer:

Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.

Step-by-step explanation:

I did the math.

0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have,

It is filled with bird seed to a height of 5/8 feet as shown.

So, Susan need to fill the rest of the birdfeeder

= 5/8 x 1/2 x 3/8

= 15 / 128

= 0.11718 feet

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Answer:

The answers would be 5.42 and 5.1.

Step-by-step explanation:

The diagram shows 5.39, so those answers would be more than the diagram shows.

Answer:

The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.

Red(26 cards) and Black(26 cards).

The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).

The black cards are further divided into clubs♣️(13 cards) and spades♠️(13 cards).

In each division of 13 cards classified above, there are/is-

3 face cards- King, Queen, Jack

One ace card

9 number cards(numbered from 2–10)

So, there are twelve face cards in a deck.

When three cards are picked, you may pick any three face cards out of the 12 face cards.

P(getting 3 face cards)=

No. of favourable face cards/ Total cards I.e,

12C3/52C3. By solving it we get 22/22100

=0.00995

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it's D because in a graph y=3/4x-2 is not possible

Answer:

x = -11

Step-by-step explanation:

6x+185 = 8x+207

substract 8 from both side and you will get

-2x = 22

and then divide by -2 and x will be equal to

x = -11

Answer:

c.

hope it helps :)

Step-by-step explanation:

Answer:

B. Pi

Step-by-step explanation:

Pi is an irrational number---you can't write it down as a non-infinite decimal. This means you need an approximate value for Pi. The simplest approximation for Pi is just 3.

Answer:

33 % is the answer.

Step-by-step explanation:

The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.

Answer:

yes

Step-by-step explanation:

Answer:

B

Step-by-step explanation: