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nevsk [136]
3 years ago
12

4. The sum of iwo numbers is 36. Twice the first

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

  14 and 22

Step-by-step explanation:

If x is the first number, then 36-x is the second. We are told that ...

  2x -(36-x) = 6 . . . . twice the first less the second is 6

  3x = 42 . . . . . . . . . add 36

  x = 14

  (36 -x) = 22

The numbers are 14 and 22.

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Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored
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The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

<h3>What is a factor?</h3>

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

6x^3-12x^2+7x - 14 \\\\

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)

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Learn more about Factors:

brainly.com/question/6810544

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Step-by-step explanation:

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Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.  

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²  

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we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

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Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4

we're left with b = 4 which means that x = 4

8 0
3 years ago
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