The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

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

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

0.4 (decimal)

4/9 (fraction)

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag

sum of marshmallows in the bag = 12 + 16 + 8 = 36

Probability a red marshmallow is picked = 16/36

To transform to the simplest form. divide both the numerator and the denominator by 4

= 4/9

to convert to decimal, divide 4 by 9 = 0.4444

0.4 to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Answer:

12.56 in ^2

Step-by-step explanation:

First find the area of a circle with radius 4

A = pi r^2

A = (3.14) 4^2

A =50.24

Since it is 1/4 of a circle, multiply by 1/4

1/4 ( 50.24)

12.56

Answer:

Quarter circle's area is 12.56 inches².

Step-by-step explanation:

Concept:- Firstly, we need to find the area of circle and Since, it is quarter of circle we need to multiply the area of circle by 1/4. and we get answer

Finding area of circle

Using Formula

Area of circle = π × r ²

Where,

And we have given

Substitute the value into the formula

Area of circle = 3.14 × ( 4 in. )/²

now,

Area of circle = 3.14 × 16 in ².

multiply , we get

Area of circle is 50.24 nches ²

As have to find the quarter circle's area ,

and we know that quarter is the one fourth of the circle .

Quarter circle's area = Area of circle × 1/4

Multiply , we get

Quarter circle's area = 50.24 × 1/4

Therefore, quarter circle's area is 12.56 inches².

Hope this help!!!

Have a nice day!!!!

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Answer:

8750 people

Step-by-step explanation:

1250 * 7   (7 days in a week)

8750 people

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

Answer:

x2+6x+7

Step-by-step explanation:

there are no like terms

i think you are missing something in your question (like the equal sign?)

reply in comment so i can help:)

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

Answer:

4.75

Step-by-step explanation:

Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75

Hope this helps

Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Find AB:

Find AD:

Now the ratio:

Correct choice is F

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Answer:

1 / 2 or 0.5

Step-by-step explanation:

use the formula ; m = y2 - y1 / x2 - x1

where y2 = 10

y1 = 9

x2 = 5

x1 = 3

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)