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Alexus [3.1K]
3 years ago
8

What is the approximate distance between points P and Q? Round your answer to the nearest hundredth.

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0
The approximate distance between point p and q are 5.1 so the answer is D.
Elodia [21]3 years ago
5 0

Answer:

(D) 5.1 units

Step-by-step explanation:

From the given graph, we get the two points P and Q that are:

P=(-3,-4) and Q=(2,-3)

Thus, the approximate distance between the points P and Q is given as:

|PQ|=\sqrt{(-3+4)^4+(2+3)^2}

|PQ|=\sqrt{(1)^2+(5)^2}

|PQ|=\sqrt{1+25}

|PQ|=\sqrt{26}

|PQ|=5.1 units

Therefore, the approximate distance between the points P and Q is 5.1 units.

Hence, option (D) is correct.

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Which rule is an example of rigid transformation?
GalinKa [24]

We know that

Rigid transformation:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"

so, it's length must be preserved

now, we will check each option

option-A:

we have (x,3y)

y-value changes but x-value will remain same

It changes length

so, this is not rigid transformation

option-B:

we have (3x,y)

x-value changes but y-value will remain same

It changes length

so, this is not rigid transformation

option-C:

(2x, y+2)

It changes length of x-value

but it is only shifting y-value

so, it changes length

so, this is not rigid transformation

option-D:

Both shifts values

but it's length will always be same

so, this is rigid transformation..............Answer

6 0
3 years ago
Can someone plz help me with this hint it’s not D plz someone help me I’m not sure I understand this
Artyom0805 [142]

Answer:

The answer is C, or 3/5.

8 0
4 years ago
Find sin(2x), cos(2x), and tan(2x) from the given information.<br> tan(x) = − 1/2 , cos(x) &gt; 0
vodomira [7]

Answer:

  • sin(2x) = -4/5
  • cos(2x) = 3/5
  • tan(2x) = -4/3

Step-by-step explanation:

It may be easiest to start with tan(2x).

  tan(2x) = 2tan(x)/(1 -tan(x)²)

  tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)

  tan(2x) = -4/3 . . . . . still a 4th-quadrant angle

__

Then cosine can be found from ...

  cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)

  cos(2x) = 3/5

__

Sine can be found from these two:

  sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)

  sin(2x) = -4/5

5 0
4 years ago
3/6 -1/6= <br> HELP ITS FOR A TEST
DiKsa [7]
Answer:
3/6-1/6=0.333
8 0
3 years ago
Read 2 more answers
Anyone know how to do this kind of algebra? 
katovenus [111]
<u>\Delta_A=5^2-4\cdot3\cdot1=25-12=13\\&#10;\Delta_B=(-5)^2-4\cdot3\cdot1=25-12=13\\

</u>Both discriminants are equal.<u>
</u>
3 0
3 years ago
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