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Anestetic [448]
2 years ago
14

Factorize (x-y)^2+(x-y)​

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

..............answer..

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One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Valentin [98]

Answer:

One leg - 15 inches

Second leg - 36 inches.

Step-by-step explanation:

One leg - x inches.

Second leg - (x + 21) inches.

Hypotenuse - 39 inches.

Using Pythagorean theorem

x² + (x + 21)² = 39²

x² + x² + 2*21x  + 21² = 39²

2x² + 42x - 39² + 21² = 0

2x² + 42x - 1080 = 0

x² + 21x - 540 = 0

(x - 15)(x + 36) = 0

x = 15, x = - 36

We can use only positive value.

One leg - x inches = 15 inches

Second leg - (x + 21) inches = 15+21=36 inches.

4 0
3 years ago
Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in ord
blondinia [14]

Answer:

The radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

Step-by-step explanation:

Given that

L= 20  m

Lets take radius of the circle =r m

The total parameter of the circle = 2π r

Area of circle ,A=π r²

The side of the square = a m

The total parameter of the square = 4 a

Area of square ,A'=a²

The total length ,L= 2π r+ 4 a

20  = 2π r+ 4 a

r=3.18 - 0.63 a

The total area = A+ A'

                   A"   =π r² +a²

A"= 3.14(3.18 - 0.63 a)² + a²

For minimize the area

\dfrac{dA"}{da}=0

3.14 x 2(3.18 - 0.63 a) (-0.63) + 2 a = 0

3.14 x (3.18 - 0.63 a) (-0.63) + a = 0

-6.21 + 1.24 a + a=0

2.24 a = 6.21

a=2.77 m

r= 3.18 - 0.63 a

r= 3.18 - 0.63 x 2.77

r=1.43 m

Therefore the radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

4 0
3 years ago
Read 2 more answers
A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population sta
Margaret [11]

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

H_0: x bar = 6.8\\H_a: x bar < 6.8\\

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students

7 0
3 years ago
Help ASAP!!!!! Due in 5 minutesp
Pachacha [2.7K]

Answer:

-1/2

Step-by-step explanation:

to find perpendicular slope, flip the number and the sign

4 0
3 years ago
65 million plus 4000
miv72 [106K]
65 million plus 4000 = <span>sixty-five million four thousand</span>
5 0
3 years ago
Read 2 more answers
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