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Mashutka [201]
4 years ago
8

Find the least common denominator for these two rational expressions. x²/x²+2x+1 and 5/x²+4x+3

Mathematics
1 answer:
iVinArrow [24]4 years ago
5 0
Factor each denominator:

x^2 + 2x + 1 = (x+1)^2

x^2 + 4x + 3 = (x+3)(x+1)

Now take the common and non common factors with the highest exponents and multiply them.

(x+3).(x+1)^2 is the least common denominator.

If you expand that product you will get x^3 + 5x^2 + 7x +3
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Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

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3 years ago
Three times a number increased by 20, is 14 less than the product of five and the 1095
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3x + 20 = (5 \times 1095) - 14 \\ 3x + 20 = 5475 - 14 \\ 3x = 5461 - 20 \\ 3x = 5441 \\ x =  \frac{5441}{3}

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2 years ago
The students at Sam's School voted between a bear and lion as the new school mascot. Of the 100 students at Sam's school, 35% vo
Alex777 [14]

Answer:

35 students.

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4 0
3 years ago
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Graph the linear equations in three points: -x-2y=-10
dmitriy555 [2]

Answer:

Step-by-step explanation:

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Then choose any 3 x values and find the corresponding y values using this formula.  For example:

 x     y = (-1/2)x + 5              (x, y)

-----   --------------------            ---------

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-4       (-1/2)(-4) + 5 = 7         (-4, 7)

  6      (-1/2)(6) + 5 = 2          (6, 2)

Plot these three points and then draw a line through them.  

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3 years ago
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Anyone mind helping? 15 Points! :D
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Answer:

(2x+8y)

(2x+2×4y)

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