What is the length of AB?

x² + 2x + y² + 4y = 20

We complete the square in both x and y.  For each we  add half the linear coefficient, squared.  So (2/2)²=1 for x and (4/2)²=4 for y.  We add them to both sides to keep the equation the same.

x² + 2x  + 1   + y² + 4y + 4  = 20 + 1 + 4

Now the left side is the sum of squares and the right side is the squared radius.

(x + 1)² + (y + 2)² = 5²

Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r.  Note the minus signs.

We read off the answer:

Answer: Center (-1, -2), radius 5.

Answer:

3x-2>9(-x)

Step-by-step explanation:

(sorry if I got it wrong for u)

3x-2>9(-x)

3x-2>-9x+0

+9x   +9x

12x-2>0

    +2+2

12x>2

/12   /12

x=.16

i don' really get the question but the only 2 mistakes i can spot are:

Munich is in the wrong place and so is Oslo.

explanation:

if you look at the way the other 3 are positioned then you will see

Answer:

y = 15

x = 30

Step-by-step explanation:

Answer:

y = 15

x = 30

Step-by-step explanation:

Since adjacent are equal, that means all 4 angles are equal to 90 degrees

6y = 90

Divide by 6

6y/6 = 90/6

y = 15

3x = 90

Divide by 3

3x/3 = 90/3

x = 30

Answer: The answer is A. dilation :)

The transformation that produces a similar figure that is not congruent to the orginal figure is: A. dilation.

Dilation is a formm of transformation which involves the enlargement or reduction of an image to create a new image that is similar to the original image.

By implication, the new image has a different size but the same shape with the original image.

Dilation produces a figure that is similar but not congruent to the original figure.

Learn more about dilation on:

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Answer:

26 and 31

Step-by-step explanation:

The square root of 26 is between 5 and 6, and so is the square root of 31.

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant =  5  & 45

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)

Coefficient of n = 5

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Constant =  5  & 45

Answer:

the answer is 4 subjects

Answer:

5) 6 hours

6)

b) $40 + $5 per ticket is the better option

Answer:

12 ft

Step-by-step explanation:

252π/7=36π, so r=6. d=r*2=12 ft

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

Answer:

86

Step-by-step explanation:

the radius of one circle is 5. the area of a circle is pi x r^2. 5 times 5 is 25. 25 times 3.14 is 78.5. since there are 4 circles, you must multiply 78.5 by 4, which is 314. Next, find the area of the square. 20 times 20 is 400. to find the area of the shaded part, subtract 314 from 400. The answer is 86.

Answer:

5

Step-by-step explanation:

Answer:

x = 2 + a/2

Step-by-step explanation:

Answer:

Option C - 16 units

Step-by-step explanation:

Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;

x² = 576

x = √576

x = 24

To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.

Since, we are told that the pyramid has a slant height of 20 units,

So using pythagoras theorem, we can find the height of the pyramid as;

h² = 20² - (24/2)²

h² = 400 - 144

h² = 256

h = √256

h = 16 units

Answer:

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Step-by-step explanation:

The given equations are

[tex]2x-5y=-5\\11x-5y=15\\9x+5y=5\\14x+5y=-5[/tex]

Let's demontrate that the system

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Has (-0.6, 0.8) as solution, approximately.

If we sum those equations, we have

[tex]16x=-10\\x=\frac{-10}{16} \approx -0.625[/tex]

Then, we use this value to find the other one

[tex]2x-5y=-5\\2(-0.625)-5y=-5\\-5y=-5+1.25\\y=\frac{-3.75}{-5} \approx 0.75[/tex]

As you can see, the answers aproximates to (-0.6, 0.8).

Therefore, the right system is

[tex]14x+5y=-5\\2x-5y=-5[/tex]

Answer:

B

Step-by-step explanation:

Answer:

0.0014 = 0.14%

Step-by-step explanation:

First we need to find the total number of pairs:

9 + 7 + 6 + 3 = 25 pairs

Then, we need to find the probability for each case:

First socks black: 7 pairs over 25: P1 = 7/25

Second socks white: 9 pairs over 24: P1 = 9/24 = 3/8

Third socks white: 8 pairs over 23: P1 = 8/23

Fourth socks brown: 6 pairs over 22: P1 = 6/22 = 3/11

Fifth socks blue: 3 pairs over 21: P1 = 3/21 = 1/7

The final probability will the the product of all probabilities above:

P = (7/25) * (3/8) * (8/23) * (3/11) * (1/7) = 0.0014 = 0.14%

Answer:

567/398475 in fraction or 0.0014229249 in decimal

Step-by-step explanation:

In the question, we are given these values

Total pair of socks = 25 pairs of socks

9 pairs of white socks

7 pairs of black socks

6 pairs of brown socks

3 pairs of blue socks

From the question, we can see that, this is probability without replacement.

Hence,

P(Black then white then white the brown then blue)=

7/25 × 9/24× 8/23 ×6/22 × 3/21

= 9072/6375600

= 567/398475

Therefore, the Probability of picking a Black socks then white socks then white socks , then brown socks and then blue socks = 567/398475 in fraction or 0.0014229249 in decimal

For the first one, 70. For the second one, 100.

Answer:

83 and 85?

Step-by-step explanation:

Answer:

45

Step-by-step explanation: 180-90=90

90/2=45

Answer:

x= 45

Step-by-step explanation:

There are 180 degrees in a triangle

The box in the corner is 90

180-90 = 90

There are 90 degrees left

The lines means that the two sides are equal so the angles must be equal

The two angles are x and x

x+x = 90

2x=90

Divide by 2

2x/2 = 90/2

x = 45

Answer:

397

Step-by-step explanation:

67 + 90 + (40 x 6)

PEMDAS

Parentheses first

67 + 90 + 240

Then add

157+240

397

Answer:

9 is in the domain of f(g(x))

Step-by-step explanation:

f(g(x)) = -8*g(x) - 4

          = -8*( 7x+3) - 4

          = -56x - 24 - 4

          = -56x - 28

          = -28(2x + 1)

f(g(9)) = -28(2*9 + 1)

          = -28*19

          = -532

Since 9 can be plugged into the compound function, it is in the domain.

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

The -5 in the point is your x value, so you will plug in the -5 and then solve.

-5-5y=-15

-5y=10

y=-2

The missing value is -2.

Let me know if you need further explanation, and I hope this helps

Answer:

y=2

Step-by-step explanation:

x-5y=-15

-5-5y=-15

-5y=-10

y=2

Answer:825

Step-by-step explanation:

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

Answer:

35 x 10^7

Step-by-step explanation:

[tex]5 * (7 \times {10}^{7} \\ 35 \times {10}^{7} [/tex]

Answer:

3.5*10^8

Please look at the photo that’s the answer.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer:compares the absolute value ,score of 16 represents greatest lost ,highest score farthest away from 0, on a number line that number is 10

Step-by-step explanation:ig/ 6k.mar

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

we have,

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Hence, A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

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#SPJ7

Answer:  Region I and III

Step-by-step explanation:

The Union includes all the members of set A and set B

Region II is also part of that union, but alone, Region II is the intersection.

Answer:

(0, 3)

Step-by-step explanation:

Let's first eliminate x.  To do this, multiply all three terms of the first equation by 5:  

-5x + 20y = 60

5x -    2y  = -6

----------------------

         18y = 54, so that y = 3.

Substituting 3 for y in the first equation yields:

-x + 4(3) = 12, or -x = 0.  Thus, x = 0, and the solution is

(0, 3)