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Vesna [10]
3 years ago
14

Lines l and m intersect at point p and are perpendicular. if a point q is reflected across l and then across m, what transformat

ion rule describes this composition?
Mathematics
1 answer:
artcher [175]3 years ago
7 0
Rotating 180 degrees about the point p. 

If they are perpendicular reflecting across each one will have the same effect as if the point was rotated 180 degrees about the certain point.
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PLZ HELP I really need help with this.
kvv77 [185]

Answer:

x = \frac{mp + e}{t}

Step-by-step explanation:

times p on both sides

then plus e on both sides

then divide t on both sides

3 0
2 years ago
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
2 years ago
What is the solution of 34x+2x=44
Alex

Answer:

x=11/9 hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

34x+2x=44

Step 1: Simplify both sides of the equation.

34x+2x=44

(34x+2x)=44(Combine Like Terms)

36x=44

36x=44

Step 2: Divide both sides by 36.

8 0
3 years ago
Read 2 more answers
G.O is going on a hike in the mountains on a hot summer day ha has 4/5 gallon of water that he split into 4 bottles what fractio
kirill [66]

Answer:

\frac{1}{5} fraction of gallon is in each bottle.

Step-by-step explanation:

As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.

⇒ in 4 bottle  he has \frac{4}{5} gallon of water.

Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.

By unit rate definition,

In 1 bottle he has = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} gallon of water.

therefore, the gallon in each bottle in fraction is, \frac{1}{5}

7 0
2 years ago
The blue segment below is a diameter of O. What is the length of the radius of the circle?
svlad2 [7]
Diameter= 2 times the radius

2r=d
2r=10.2
R= 10.2/2
R=5.1

Therefore, the radius is 5.1 units which makes the answer choice C correct.

Hopefully, this helps!
5 0
2 years ago
Read 2 more answers
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