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3 years ago

Divide 29 into two parts so that the sum of the squares of the parts is 425. Find the value of each part.

Mathematics

1 answer:

alina1380 [7]3 years ago

3 0

Answer:

13 and 16.

Step-by-step explanation:

Let the 2 parts be x and y, then:

x + y = 29

x^2 + y^2 = 425

From the first equation y = 29 - x so substituting in second equation, we get:

x^2 + (29 - x)^2 = 425

x^2 + 841 - 58x + x^2 - 425 = 0

2x^2 - 58x + 416

x^2 - 29x + 208 = 0

208 = 2*2*2*2*13

= 16 * 13

So factoring we get:

(x - 13)(x - 16) = 0

x = 13 ,16

So the numbers are 13 and 16.

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Solve -9x - 31=-11+25

nikdorinn [45]

Answer:

x = -5

Step-by-step explanation:

the first step is calculate the sum.

-9x - 31 = 14

Then move the constant to the right side and change the sign.

-9x = 14 + 31

Then add the numbers

-9x = 45

Then divide both sides of the equation by -9

x = -5

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4 years ago

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Solve the Equation <br> 2x-3=14<br> -x+3y=-6

andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

$\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}$

If first equation is correct.

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3 years ago

What is (3x^3)^3 in factored form? Help

Sergio [31]

Answer:

This can't really be factored, but it can be expanded slightly.

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3 years ago

Write fractions that have a denominator of 24 and are equivalent to 1/3 , 1/6 , and 1/2 .

daser333 [38]

Answer:

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Step-by-step explanation:

12 times 1 = 12

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3 years ago

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A rectangular table top has dimensions as 1.52m and 0.75m. Find the perimeter in cm

Elis [28]

That is a question about perimeter of rectangle.

The perimeter of a geometric shape is the sum of the value of the all sides.

In a rectangle, the opposite sides are cogruentes (equals). For example, look at picture below. In that rectangle, the sides AB and DC are equals, and the sides AD and BC are equals.

So, the sides of that rectangular table are: 1.52m, 1.52m, 0.75m and 0.75.

Therefore, the perimeter of that rectangle is $1.52+1.52+0.75+0.75= 4.54$ m.

But that is not the final answer because that is the perimeter in meters and the question want the answer in centimeters.

1 meter has 100 centimeter, so we need to multiplicate the perimeter by 100.

Thus, the perimeter of that rectangular table is $4.54\cdot 100 = 454$ cm.

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3 years ago