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tresset_1 [31]
3 years ago
13

Click an item in the list or group of pictures at the bottom of the problem and holding your mouse button down, drag it into the

correct position in the area. Release your mouse button when the item is place. If you change your mind, double-click one item to remove it, or click the Start Over button to clear all of your answers. Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b 4) 2
Mathematics
1 answer:
faust18 [17]3 years ago
8 0
The Pythagorean Theorem states that "When a triangle has a right angle of (90°), the square of its hypothenuse is equal to the sum of the squares of the other two sides."

The hypothenuse is the longest side of the triangle.

For example: A triangle has 3 sides. Side A, Side B, and Side C (hypothenuse).

Side A = 3; Side B = 4; Side C = 5; To check if the theorem is true, we must square all sides.

Side A = 3² = 9; Side B = 4² = 16; Side C = 5² = 25

Pythagorean theorem: The square of the hypothenuse is equal to the sum of the squares of two sides.

<span>Side A² + Side B² = Side C²  ==> 9 + 16 = 25 ==> 25 = 25</span>
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What is 9 devided by 4,590
tia_tia [17]

Answer:

1/510

Step-by-step explanation:

8 0
2 years ago
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Jessica's shoebox is 20 centimeters long and 10 centimeters wide. How many more millimeters is the length of the shoebox than th
Solnce55 [7]
The length is 20-10=10 cm longer than the width. That is: 10 cm * 10 mm/cm = 100 mm
7 0
3 years ago
A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s
Nitella [24]

The number of presale tickets sold is 271

<em><u>Solution:</u></em>

Let "p" be the number of presale tickets sold

Let "g" be the number of tickets sold at gate

<em><u>Given that, total of 800 Pre-sale tickets and tickets at the gate were sold</u></em>

Therefore,

Presale tickets + tickets sold at gate = 800

p + g = 800 ------ eqn 1

<em><u>Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets</u></em>

Therefore,

Number of tickets sold at gate = twice the number of pre-sale tickets - 13

g = 2p - 13 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 2 in eqn 1

p + 2p - 13 = 800

3p -13 = 800

3p = 800 + 13

3p = 813

p = 271

Thus 271 presale tickets were sold

4 0
3 years ago
What is the perimeter?
DanielleElmas [232]

Answer:

Step-by-step explanation:

jest mutply it

7 0
3 years ago
Hello there!
otez555 [7]

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

         = (x^2 -2x+1) +4

         = x^2 -2x+5  

7 0
3 years ago
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