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dalvyx [7]
3 years ago
8

can someone fill in the blanks for me I'm doing a vocab test on math so plz help thx brainliest awarded

Mathematics
2 answers:
777dan777 [17]3 years ago
8 0

Answer:

15 - Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.

16 - It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.

17 - Commutative Properties

Step-by-step explanation:

irga5000 [103]3 years ago
5 0

Answer:

i gotchu babe lol,

14.Associative Property

15. equivalent systems

16. equation

17.Commutative Property

Step-by-step explanation:

i love you so much, i hope this helps you babe.

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Is 1/8 - 10(3/4-3/8x)+5/8x equivalent to -1/8(59-35x)
madreJ [45]

Answer:

Yes

Step-by-step explanation:

1/8-10(3/4-3/8x)+5/8x

1/8-(30/4-30/8x)+5/8x

1/8-30/4+30/8x+5/8x

Lcm is 8

1-60+30x+5x/8

-59+35x/8

Factorise

-1/8(59-35x)

So when comparing the two,they are observed to be the same

5 0
3 years ago
Cruz's Frame shop makes. a mat by cutting out the inside of a rectangular mat board. Find the length and width of the original m
My name is Ann [436]

Answer:

length = 23 inches ; width = 18 inches.

Step-by-step explanation:

Length and width can be found from the following expression after solving for x. The expression is given by :

outside area - inside area = 148 square inches

(2·x - 1)·(x + 6) - (2·x - 5)·(x + 2) = 148  (On substitute length and width expressions. Each area is the product of length and width.)

⇒ 2·x² + 11·x - 6 - (2·x² - x - 10) = 148

⇒ 12·x + 4 = 148 .................(On simplifying the expression)

⇒ 12·x = 144

⇒ x = 12

Then the original length of the mat is given by substituting value of x in outside length expression :

2·x - 1 = 2·12 - 1 = 23 inches

and the original width of the mat is given by :

x + 6 = 12 + 6 = 18 inches

Hence, the overall dimensions of the original mat are 23 inches by 18 inches.

5 0
3 years ago
50 points please give step by step instruction
fenix001 [56]

Answer:

<u> </u>x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

<em>Change cos2x to 1 - 2sin^2x:</em>

1 - 2sin^2x + 2 sinx = sin^2x

<em>Shift the terms to make it a quadratic equation:</em>

3 sin^2x - 2sinx - 1 = 0

<em>F</em><em>a</em><em>c</em><em>t</em><em>o</em><em>r</em><em>i</em><em>s</em><em>e</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>q</em><em>u</em><em>a</em><em>d</em><em>r</em><em>a</em><em>t</em><em>i</em><em>c</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>:</em>

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

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From graph of sin x, x = 90 and 270 degrees when sin x = 1.

<u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>3</em>

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u>

Hence, <u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

[<em>S</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>i</em><em>f</em><em> </em><em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>w</em><em>r</em><em>o</em><em>n</em><em>g</em><em> </em><em>:</em><em>(</em><em> </em>]

8 0
4 years ago
3.) In gym class, Antonio ran 384 decimeters on Monday an 321 decimeters
Elodia [21]

Answer:

The answer in meters is 6.3 meters

6 0
3 years ago
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The least common denominator (LCD) for 1/12 and 3/4 is b. 12
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