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vfiekz [6]
3 years ago
9

Simplify this math problem show Your work

Mathematics
1 answer:
loris [4]3 years ago
5 0

9514 1404 393

Answer:

  (p -9q)/(4p² +12pq)

Step-by-step explanation:

The least common denominator will be the product of the denominators.

  \dfrac{-3}{4p}+\dfrac{1}{p+3q}=\dfrac{-3(p+3q)+1(4p)}{(4p)(p+3q)}=\boxed{\dfrac{p-9q}{4p^2+12pq}}

You might be interested in
Find the unknown side length
Westkost [7]
For any right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the legs when squared and added together will be equal to the hypotenuse squared.

In mathematical notation: a^2 + b^2 = c^2

Where the variables a and b are the legs and the variable c is the hypotenuse.

Because we know the two side lengths of the triangle, we can solve for the unknown side.

We know the length of one of the legs and the hypotenuse.

Plug in the values.

10^2 + b^2 = 24^2 \\ \\ 
100 + b^2 = 576 \\ \\ 
b^2 = 476 \\ \\ 


b = \sqrt{476}

So, the square root of 476 is the unknown length.
3 0
3 years ago
Josh attempted 56 free throws during the basketball season. He made 57 of them. How many free throws did he make?
Scorpion4ik [409]

Answer:

He made approximately 32 free throws.

Step-by-step explanation:

Assuming that there's a typo in the question and that he made 57% of his attempted free throws, then we can solve it as shown below:

We can apply a rule of three in order to calculate the number of free throws he made. This is done as follows:

56 free throws -> 100%

x free throws -> 57%

56/x = 100/57

100*x = 57*56

x = 57*56/100 = 31.92

It can also be solved by transforming the percentage in a fraction such as 57% = 57/100 and then multiplying it by the total attempts.

free throws made = 56*57/100 = 31.92

He made approximately 32 free throws.

7 0
3 years ago
Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in th
nasty-shy [4]

Answer:

500 total pages. 190 pages with no pictures.

Step-by-step explanation:

310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.

500 minus 310 is 190 pages with no pictures.

Hope this helps!

3 0
3 years ago
4. This is a
bixtya [17]

Answer:

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

    f(x) = a(b)ˣ

    Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

    For (-1, 4),

    4 = a(b)⁻¹

    4 = \frac{a}{b} --------(1)

    For (0, 6),

    6 = a(b)⁰

    a = 6

    From equation (1),

    4 = \frac{6}{b}

    b = \frac{6}{4} = 1.5

    Therefore, equation of the function will be,

    f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

    f(-4) = 6(1.5)⁻⁴

           = 1.185

3 0
3 years ago
What is 2(-5 + 3) as an equivalent expression.<br> What is the value of the expression?
Orlov [11]

Answer: 2(-5+3) is the equivalent of -10+6. the value is -4

Step-by-step explanation:

8 0
2 years ago
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