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stepladder [879]
4 years ago
14

I don’t understand need it by tomorrow!

Mathematics
2 answers:
snow_tiger [21]4 years ago
6 0

Explanation:

It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.

We can write two equations that make use of the Pythagorean theorem:

  PQ² = PR² +RQ²

  RS² = QS² +RQ²

Then we can swap sides of the first equation and subtract the second equation. This gives ...

  (PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)

Adding RQ², we can write this as ...

  PR² -RS² +2RQ² = PQ² -QS²

__

The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.

Since PQ² - QS² is a positive number, PQ > QS.

Mandarinka [93]4 years ago
6 0

Step-by-step explanation:

In the right triangle PQR we have the side PQ is the hypotenuse then

PQ > PR

and since  PR > RS (given) then PQ > RS (1)

In the right triangle QRS we have the side RS is the hypotenuse then

RS > QS (2)

finally ,

(1) + (2) give us PQ > QS

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F(x) = 3(2)x What is f(4)?<br><br> A. 24<br> B. 12<br> C. 4<br> D. 48
Novay_Z [31]

Answer:

a.

Step-by-step explanation:

x=4

3(2)=6

6(4)=24

24 is your answer!

4 0
3 years ago
Can someone please help me with number 19
kipiarov [429]
The expression of the problem is, 8x.
where "x" stands for the number of dogs. so you would then substitute x with 12. Then you would solve the problem to get your answer.(8•12)
3 0
3 years ago
Find the dot product of two vectors if their lengths are 4 and 1/2 and the angle between them is π/4.
Luba_88 [7]
The dot product is a technique that solves the resultant vector through the use of matrices. Since we have no coordinates, we can't use matrices. However, we can still solve the resultant vector (red line) through cosine law. The solution is as follows:

R² = 4² + (1/2)² - 2(4)(1/2)(cos π/4)
R = √13.42
R = 3.66

The resultant vector has a magnitude of 3.66.

4 0
3 years ago
Help me pleasseeee I don’t know how to solve this
Ann [662]

Answer:

(0,-3) and (5,-2)

Step-by-step explanation:

1. (0,-3)

x = 0, y = -3

-2*x - 3 ≤ y

       -2*0 - 3 ≤ -3  

                -3 ≤ -3 true

y-1 < 1/2*x

           -3 - 1 < 1/2*0

           -4 < 0 true

The pair (0,-3) is the solution.

2. (-3,-4) is not

3. (-4,-1) is not

4. (0,1) is not

5. (5,-2) is the solution

       

6 0
3 years ago
Which property is used in the problem below?
Natali [406]

Answer:

Distributive Property

Step-by-step explanation:

2(x+4) = 2x + 8

2x + 2(4) = 2x + 8

2x + 8 = 2x + 8

Henceforth, distributive property

7 0
2 years ago
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