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sp2606 [1]
4 years ago
15

What is a symmetry? In math terms

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
7 0

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

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Can someone help me with these 5 question I have attached?
Contact [7]

Example 2: x=10

Example 3: x=-1

Example 4: x=35

Example 5: a-b+c=9

Example 6: x=1, x=1/2

Further explanation:

<u>Example 2:</u>

\sqrt{4x-4} =6

Taking Square on both sides

(\sqrt{4x-4})^2 =(6)^2\\4x-4=36\\4x=36+4\\4x=40\\\frac{4x}{4}=\frac{40}{4}\\x=10

<u>Example 3:</u>

9+\sqrt{4x+8}=11

Subtracting 9 from both sides

9-9+\sqrt{4x+8}=11-9\\\sqrt{4x+8}=2\\

Taking Square on both sides

(\sqrt{4x+8})^2=(2)^2\\4x+8=4\\4x=4-8\\4x=-4\\\frac{4x}{4}=-\frac{4}{4}\\x=-1

<u>Example 4:</u>

8+\sqrt{x+1}=2

subtracting 8 from both sides

8-8+\sqrt{x+1}=2-8\\\sqrt{x+1}=-6

Taking Square on both sides

(\sqrt{x+1})^2=(-6)^2\\x+1=36\\

Subtracting 1 from both sides

x+1-1=36-1\\x=35

<u>Example 5:</u>

\sqrt{a-b+c}=3

Taking Square on both sides

(\sqrt{a-b+c})^2=(3)^2\\a-b+c=9\\

<u>Example 6:</u>

2\sqrt{2x-1}=4x-2

Taking square on both sides

(2\sqrt{2x-1})^2=(4x-2)^2\\4(2x-1)=16x^2+4-16x\\8x-4=16x^2-16x+4\\8x=16x^2-16x+4+4\\8x=16x^2-16x+8\\16x^2-16x-8x+8=0\\16x^2-24x+8=0

dividng whole equation by 8

2x^2-3x+1=0\\2x^2-2x-x+1=\\2x(x-1)-1(x-1)=0\\(2x-1)(x-1)=0\\2x-1=0 => x=\frac{1}{2}\\x-1=0 => x=1

Keywords: Radical Expressions, Examples

Learn more about radical expressions at:

  • brainly.com/question/8145673
  • brainly.com/question/10071175

#LearnwithBrainly

3 0
3 years ago
What is the least common multiple of 4, 6, and 12?
Afina-wow [57]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2x + y = 7<br> -2x - y = 6<br> Solve systems of equations by substitution
ehidna [41]

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

4 0
3 years ago
Determine the equation
sergejj [24]

Answer:

y=\frac{3}{4} x-\frac{5}{4}

Step-by-step explanation:

two points on the line are

(-1, -2)

(-5, -5)

The slope:

m=\frac{-2-(-5)}{-1-(-5)} =\frac{-2+5}{-1+5} =\frac{3}{4}

The equation:

with (-1,-2)

y-(-2)=\frac{3}{4} (x-(-1))

y+2=\frac{3}{4} x+\frac{3}{4}

y=\frac{3}{4} x+\frac{3}{4} -\frac{8}{4}

y=\frac{3}{4} x-\frac{5}{4}

Hope this helps

8 0
2 years ago
is asking me to write on every question if it’s isosceles,scalene,or equilateral and then it’s says write acute or abtuse or rig
d1i1m1o1n [39]

Answer:

You're supposed to write both

Step-by-step explanation:

They are both classifications of a triangle but they are different kinds. Scalene, isosceles, and equalateral measure the length of the sides while acute, obtuse, and right measure the angles. Hope it helps! :)

6 0
3 years ago
Read 2 more answers
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