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sweet [91]
3 years ago
13

Explain how to get the variable alone in the equation. a ÷ 11 =5​

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

Answer:

Multiply both sides by 11 to isolate the variable.

Step-by-step explanation:

a = 55

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George jumped 6 7/8 feet in a contest.Robert jumped 6 1/2 feet. Who jumped farther,by how much?
Harman [31]

Answer:

George by 3/8 of a foot

Step-by-step explanation:

4 0
3 years ago
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Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
3 years ago
Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
MaRussiya [10]

Answer:

12

Step-by-step explanation:

The formula for distance between points is \sqrt{(x.2-x.1)^{2} +(y.2-y.1)^{2}

So when you inserts the coordinates in this formula, it would be \sqrt{(-2-3)^2+(-6-5)^2}

\sqrt{(-5)^2+(-11)^2}

\sqrt{25+121}

\sqrt{146}

=12.08305

Usually, distance is round to whole number. So, it would be 12

4 0
3 years ago
Find the distance between the points given.<br><br> (-10, 3) and (-10, 12)
aliina [53]

Answer:

9

Step-by-step explanation:

They both have -10 so just compare 3 and 12. Thats a difference of 9.

3 0
3 years ago
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A) How many cups of energy drink does Jerome need to make?
Margaret [11]

Answer: You should take the 22÷8 and take 22÷3 and see what you get if that doesn’t help create a table chart or graph

Step-by-step explanation: I said divide 22 by 8 and 22 divide by 3 because that should give you the number that you need for each one

4 0
3 years ago
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