Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

⇒ (b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

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Answer:

F- the first answer choice

Step-by-step explanation:

Answer:

answer is h

Step-by-step explanation:

a is at -3 1/2, 3 1/2 b is at 5, -2 1/2

Answer:

Step-by-step explanation:

a. we do first the multiplication 3*4=12

-9-12=-21

b. you do parenthesis first

(-2)^3=-8  

(-8)*(-4)= +32

now we have (32)-3=29

c. as you see in the red square we do multiplication first, than division

3*2=6

(-18)/6=-3

2+(-3)=-1

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

Answer:

8 Pounds

Step-by-step explanation:

A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

Answer:

Find the area of the base of the cylinder using A = (pi)r 2 . Subtract your answer from the 80 square inches for the cube and the area of the cylinder. 4. Add the surface areas of each figure to get the total area of the composite figures.

Answer:

5 classes

Step-by-step explanation:

Let x represent the number of aerobics classes

Create an equation that sets the member and nonmember prices equal to each other, then solve for x:

4x + 10 = 6x

10 = 2x

5 = x

So, after 5 aerobics classes, the costs will be the same.

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

Answer:

A.

Step-by-step explanation:

The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C

We are given the equation; y = ¹/₄(4ˣ)

At the input value of x = 0;

x = ¹/₄(4⁰)

x = ¹/₄

At the input value of x =  1;

y = ¹/₄(4¹)

y = 1

At the input value of x = 2;

y = ¹/₄(4²)

y = 4

At the input value of x = 3;

Thus;

y = ¹/₄(4³);

y = 16

At the input value of x = 4;

y = ¹/₄(4⁴)

y = 64

At the input value of x = 5;

y = ¹/₄(4⁵)

y = 256

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Answer:

(E) 3(sq rt 2)

Step-by-step explanation:

the figure is a square so all four sides are equal and has 90 degree corners.

the diagonal has the value of 6 so:

6^2=s^2+s^2

36=2s^2

s^2=18  or sq rt 18 which would be 3(sq rt 2)

Answer:

25 million on some jewlery that you put on you head

Step-by-step explanation:

Answer:

$52.5

Step-by-step explanation:

given

P=$50  R=0.05  T=1

I=PRT

I=50×0.05×1

I=$2.5

50+2.5=$52.5

Answer:

-48.015

Step-by-step explanation

Answer:

3 41-cent stamps and 8 6-cent stamps

Step-by-step explanation:

I believe she used 3 41-cent stamps (which is $1.23) with $0.48 leftover which we can use $0.06 to get rid of. We need to use 8 of the $0.06 stamps.

Answer:

5564

Step-by-step explanation:

Answer:

5560

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3

Answer:

x = -1

y = 3

Step-by-step explanation:

y + 2x = -1

y = 1/2x + 4

(1/2x + 4) + 2x = -1

1/2x + 2x + 4 = -1

2 1/2x + 4 = -1

2 1/2x = -1 - 4

2 1/2x = -5

x = -5 / 2 1/2

x = -2

y + 2x = -1

y + 2(-2) = -1

y - 4 = -1

y = -1 + 4

y = 3

Answer:

135.42 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + PH

Where,

Triangular base area (BA) = ½bh = ½*4*3 = 6 yd²

Perimeter of triangular base (P) = 4 + 3.61 + 3.61 = 11.22 yd

Height of prism (H) = 11 yd

Surface area = 2(6) + 11.22 × 11

= 12 + 123.42

Surface area = 135.42 yd²

Answer:

187 Books

Step-by-step explanation:

First you need to figure out the area of the closet. To do this you need to do 20 x 25 x 30 which equals 15,000. Then you should figure out the area of the books. To do this you would do 8 x 5 x 2 which equals 80. Then do 15,000 divided by 80 and you get 187.5 but you cant fit half a book in so then you round down and you get 187.

Answer:

1.3

Step-by-step explanation:

just divide 31 by 24

This will give you the decimal: 1.291666667

Since the number 2 is right of the decimal point, it is in the tenths place.

Therefore, since the number next to the 2 is 9, you would round the 2 up and get 1.3 as your answer.

Answer:0.5n

Step-by-step explanation: its to long to explain but correct :)

Answer:

0.5n

Step-by-step explanation:

Answer:

solution

$9=30000

$8=37000

$?=74000

=$3

Answer:

136

Step-by-step explanation:

68 * 2 = 136

Answer:

40

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

The number of different 4-toppings pizzas can be made with given toppings is 70.

There are 8 different toppings of pizza are given.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Here, n=8 and r=4

Now, 8C4

= [tex]\frac{8!}{4!(8-4)!} =\frac{8\times7\times6\times5\times4!}{(4\times3\times2\times1)4!}[/tex]

= (8×7×6×5)/(4×3×2×1)

= 7×2×5

= 70

Therefore, the number of different 4-toppings pizzas can be made with given toppings is 70.

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Answer/Step-by-step explanation:

A1. Reference angle = 41°

Hypotenuse = x

Adjacent = 7

Thus, applying trigonometric ratio, we would have:

Cos 41 = 7/x

Multiply both sides by x

x × cos 41 = 7

Divide both sides by cos 41

x = 7/cos 41

x = 9.3 (nearest tenth)

A2. Reference angle = 65°

Hypotenuse = 6

Opposite = y

Thus, applying trigonometric ratio, we would have:

Sin 65 = y/6

Multiply both sides by 6

6 × sin 65 = y

5.4 = y (nearest tenth)

y = 5.4

A3. Reference angle = 50°

Hypotenuse = z

Opposite = 8

Thus, applying trigonometric ratio, we would have:

Sin 50 = 8/z

Multiply both sides by z

z × sin 50 = 8

Divide both sides by sin 50

z = 8/sin 50

z = 10.4 (nearest tenth)

B1. Reference angle = 49°

Hypotenuse = x

Opposite = 7

Thus, applying trigonometric ratio, we would have:

Sin 49 = 7/x

Multiply both sides by x

x × sin 49 = 7

Divide both sides by sin 49

x = 7/sin 49

x = 9.3 (nearest tenth)

B2. Reference angle = 25°

Hypotenuse = 6

Adjacent = y

Thus, applying trigonometric ratio, we would have:

Cos 25 = y/6

Multiply both sides by 6

6 × cos 25 = y

y = 5.4 (nearest tenth)

B3. Reference angle = 40°

Hypotenuse = z

Adjacent = 8

Thus, applying trigonometric ratio, we would have:

Cos 40 = 8/z

Multiply both sides by z

z × cos 40 = 8

Divide both sides by cos 40

z = 8/cos 40

z = 10.4 (nearest tenth)