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Lilit [14]
3 years ago
13

How do i prove that they are right triangles ?

Mathematics
2 answers:
spayn [35]3 years ago
8 0
If it is 90 degreees at the angle
Juliette [100K]3 years ago
3 0

Answer:

You use the Pythagorean Theorem or a²+b²=c²

a and b are the two shorter sides, c is the hypotenuse, the longest side.

Step-by-step explanation:

I will do them for you:

     12²+16²=20²

   144+256=400

           400=400

Triangle XYZ is a Right Triangle :)

    15²+20²=25²

  225+400=625

           625=625

Triangle PQR is a Right Triangle :)

You might be interested in
If U is between T and B, find TU. TU = 6x + 16, UB = 2x – 1, TB = 55.
enot [183]

Answer:

TU = 46

Step-by-step explanation:

Here, we are concerned with finding TU

Mathematically;

Since U is between T and B, by convention;

TB = TU + UB

Substituting the values so we can find x;

55 = 6x + 16 + 2x -1

55 = 6x + 2x + 16-1

55 = 8x + 15

8x = 55-15

8x = 40

x = 40/8

x = 5

But TU = 6x + 16; substitute the value of 5 for x

TU = 6(5) + 16

TU = 30 + 16

TU = 46

3 0
3 years ago
Elasticity of Demand The demand function for a certain brand of backpacks is
Trava [24]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           E = \frac{P}{x}*\frac{dP}{dx}  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

8 0
3 years ago
Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4
attashe74 [19]
If it is, then f(4) would be equal 0.

f(4)=4^3+11\cdot4^2+24\cdot4-36\\&#10;f(4)=64+11\cdot16+96-36\\&#10;f(4)=124+176\\&#10;f(4)=300\not =0 \Rightarrow \text{ it isn't}
8 0
3 years ago
Simplify 0.75 (5v+11)-0.25 (11+v)
SVETLANKA909090 [29]
The answer is 3.5v+5.5
6 0
3 years ago
2/3 (6y - 4) = - 4y <br>​
Nookie1986 [14]

Answer:

y = 1/3

Step-by-step explanation:

2/3 (6y - 4) = - 4y

2(6y-4)/3 = -4y

2(6y-4) = (-3)(4y)

y = 1/3

7 0
2 years ago
Read 2 more answers
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