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alex41 [277]
3 years ago
5

Simplify the expression

Mathematics
2 answers:
Paraphin [41]3 years ago
8 0

I find it convenient to rearrange the numbers so that positive numbers are added, negative numbers are added, then the two sums are added. Of course, you can do it any way you like. Your calculator does not care about the order of the numbers you enter.

... = (1.4 +1.8) -(5.5 +1.73 +1.09)

... = 3.2 - 8.32

... = -5.12

Mashcka [7]3 years ago
6 0

A) -5.12

... = (1.4 +1.8) -(5.5 +1.73 +1.09)

... = 3.2 - 8.32

... = -5.12

- Prodixy ☕

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3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

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Question 3

Find midpoint of the following:

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The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

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Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

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The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

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Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

x^2-3x-28

We will break the middle term and find factors

x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

x^2+6x+8

We will break the middle term and find factors

x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)

So, the factors are (x+4)(x+2)

Option A is correct.

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