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labwork [276]
3 years ago
11

Find the slope of -1 / 3 + 3 / -2​

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

-1.83 (repeating decimal)

Step-by-step explanation:

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I need to find the least common denominator of x+2/x^2+2x-3 , x-7/x^2+5x+6
grin007 [14]

Answer:

(x + 3)(x - 1)(x + 2)  

Step-by-step explanation:

The fractions are:  

\dfrac{x + 2}{x^{2} + 2x - 3} \text{ and } \dfrac{x - 7}{x^{2} + 5x + 6}

Factor each denominator  

x^{2} + 2x - 3 = (x + 3)(x - 1)\\x^{2} + 5x + 6 = (x + 3)(x + 2)

We must find the least common multiple of the denominators.  We take the maximum power of each separate factor.

      Factors of first fraction = (x + 3) × (x - 1)

Factors of second fraction = (x + 3)             × (x + 2)

                                   LCM = (x + 3)(x - 1)(x + 2)

The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).

4 0
3 years ago
Susan has 343 cookies. She packs as many of them as she can equally in 19 boxes. She gives the rest to Mike. How many cookies do
Oksana_A [137]

Answer:

Mike gets just one cookie because she puts 18 cookies in 19 box which will be 19*18 = 342 so just one left

Step-by-step explanation:

I'm feeling bad for Mike to be honest that he just gets one

5 0
2 years ago
Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20). Express the answer in scientific notation. The options are:
Mkey [24]
(2.0×10^-4)×(3.1×10^-20)
=(2.0×3.1)×(10^4×10^-20)
=6.2×10^(-4+(-20))
=6.2×10^-24. Hope it help!
3 0
3 years ago
Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​
Helen [10]

Answer:

The equation of the line AB is  y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :  m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{14 -6 }{10 - 2} = \frac{8}{8}  = 1

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as :    y - y0 = m (x-x0)

So,the equation of line AB is  y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is  y - x -4 = 0

5 0
2 years ago
7. What is the volume of the prism? 8 cm 5.8 cm A. 29 cm B. 87 cm3 15.2 cm C. 512.3 cm3 D. 705.3 cm
bija089 [108]

The volume of the rectangular prism is

V=L\times W\times H

Where:

L is its length

W is its width

H is its height

From the given figure

L = 15.2 cm

W = 8 cm

H = 5.8 cm

Substitute them in the rule above

\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}

Round it to the nearest tenth

V=705.3\operatorname{cm}^3

Answer D

5 0
1 year ago
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