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harina [27]
2 years ago
8

How to solve subtracting rational coefficients

Mathematics
1 answer:
yuradex [85]2 years ago
5 0

Step-by-step explanation:

There are a few steps to follow when you add or subtract rational expressions with unlike denominators.

To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. The LCM of the denominators of fraction or rational expressions is also called least common denominator , or LCD.

Write each expression using the LCD. Make sure each term has the LCD as its denominator.

Add or subtract the numerators.

Simplify as needed.

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Tom has a can of paint that covers 37 1/2 m² each board on the fence has a area of 3/16 m² how many boards can he paint.
kramer

Step-by-step explanation:

37 and 1/2 divided by 3/16 =

75/2 divided by 3/16 =

75/2 * 16/3 =

25*8 = 200 <--- 75 cancels 3; 16 cancels 2

8 0
2 years ago
Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2
ehidna [41]

Answer:

8√2

Step-by-step explanation:

4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2

Recognize that √2 is a common factor and simply add its coefficients.

6 0
3 years ago
Read 2 more answers
Which expression gives the distance between the points (2,3) and 4,-3)?
OleMash [197]

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

   d = √[(2 - 4)² + (3 + 3)²]

8 0
3 years ago
Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connect
LenKa [72]

Answer:

B is the triangle

A and E can be thought of as triangles as well with angles 0°, 0° and 180°, but it will be just a line with 3 points. So it depends whether this is a question with multiple answers or not.

Step-by-step explanation:

  • Thinking Process:

We need to find a formula for a triangle that uses all the sides

Cosine rule uses all sides:

c^2 = a^2 + b^2 -2ab(cosA)

we can rearrage this formula and make the angle A the subject:

A = cos^{-1}(\frac{a^2+b^2-c^2}{2ab})

  • now you can just put the values from each option in the question into this formula and see if it gives an answer or not.

<u>Try A. (1,2,3)</u>

put a = 1, b = 2, c = 3 (keep in mind that you can take 'a' 'b' and 'c' as 3,2 and 1 or any other arrangement within the option A(1,2,3). All we are doing here is checking whether the answer exists or not)

A = cos^{-1}(\frac{1^2+2^2-3^2}{2(1)(2)})

A = 180, now graphically it seems that this is just a line with 3 points, or technically you can think of as the sides of the triangle are overlapping each other, and the angle between the sides is 0 0 and 180. It depends on whether the question is asking you to be technical or not. Since the question already stated there are 3 line segments, so we can think of it as a triangle.

<u>Try B.(3,4,5)</u>

A = cos^{-1}(\frac{3^2+4^2-5^2}{2(3)(4)})

A = 90, this is a triangle (specifically, this is a right angled triangle)

<u>Try C.(1,10,100)</u>

A = cos^{-1}(\frac{1^2+10^2-100^2}{2(1)(10)})

from the calculator you'll see a 'math error', this shows that there is no answer, because cos^{-1} can only accept values within -1 and 1 inclusive. Hence no such triangle exists with lengths (1,10,100).

Similarly you can try the formula with all other options, and find whose answers exists or not.

Finally, to complete the answer, let's

Try E.(1,3,4)

A = cos^{-1}(\frac{1^2+3^2-4^2}{2(1)(3)})

A = 180, hence this is also one of those "3 points on a straight line  triangles" similar to A(1,2,3)

so the answer is either A,B and E OR just B

Hope this helps :)

5 0
3 years ago
How much interest will Brian earn on $875 in his savings account after 3 months if the annual interest rate is 5.5%?
eduard

The interest that Brain would receive is $12.03.

<h3>How much interest would Brain receive?</h3>

The interest received is a function of the amount saved, interest time and the length of time the money was saved.

Interest = amount saved x number of months x (annual interest rate / 12)

$875 x 3 x (0.055 / 12) = $12.03

To learn more about interest, please check: brainly.com/question/26164549

#SPJ1

6 0
1 year ago
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