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Ivenika [448]
2 years ago
6

Match each rational expression to its simplest form. 2m2 - 4m 2(m-2) m2 - 2m +1 m - 1 m2 - 3m + 2 m2 - m m2 - m - 2 m2 - 1

Mathematics
1 answer:
marishachu [46]2 years ago
5 0

Given:

The expression is,

\frac{m-2}{m-1}

Explanation:

Multiply the expression by (m+1) on both numeratir and denominator.

\begin{gathered} \frac{m-2}{m-1}\cdot\frac{m+1}{m+1}=\frac{(m-2)(m+1)}{(m-1)(m+1)} \\ =\frac{m\cdot m+m-2m-2}{m^2-1^2} \\ =\frac{m^2-m-2}{m^2-1} \end{gathered}

So option C is correct.

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Write a mixed number between 4 and 5, and then write its reciprocal.
11Alexandr11 [23.1K]

Answer:

4\frac{1}{2} and it's reciprocal is \frac{2}{9}

Step-by-step explanation:

4.5 is a number in between 4 and 5, as a fraction it is written as 4\frac{1}{2}. To get the reciprocal you need to change it to an improper fraction so it becomes \frac{9}{2}. The reciprocal will be 1 ÷ \frac{9}{2}. This literally means the number will just invert and become \frac{2}{9}

6 0
3 years ago
1. Circle or highlight the letter that correctly identifies the following exponential equation into its equivalent logarithmic f
almond37 [142]

9514 1404 393

Answer:

  B. loga(p) = m

Step-by-step explanation:

Equivalent forms are ...

  a^m=p\quad\longleftrightarrow\quad\log_a(p)=m

_____

<em>Additional comment</em>

It helps me to remember that a logarithm is an exponent. The base of the exponent is the base of the logarithm.

3 0
3 years ago
Triangle ABC is a right triangle and cos(22.6)=b/13. Slobs for b and round to the nearest whole number
aliina [53]
<u>Answer</u>
12


<u>Explanation</u>
Cosine is the ratio of adjacent to hypotenuse.

So, in this case b is the adjacent and 13 is the hypotenuse.

cos22.6 = b/13
b = 13×cos22.6
    = 13×0.923879532
    =12.010

To the nearest whole number the answer is 12.
5 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
vaieri [72.5K]
Let r represent the radius of the smaller circle and R the radius of the larger
circle.

Apply ratios: the radius of the smaller circle to the radius of the larger circle.

r: R = 3 : 7.

I complete rotation = 360 degrees.

1st:

For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees

2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations 

Hope this helped☺☺
8 0
3 years ago
Find the perimeter and area of the figure. Round to the nearest tenth if necessary. 33.7 mm; 108 mm2 33.7 mm; 54 mm2 30.7 mm; 50
Deffense [45]

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = \frac{1}{2} x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

8 0
3 years ago
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