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3 years ago

Rewrite 5/ 16 + 6/ 20 with a common denominator.

2 answers:

5 0

25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.

Dahasolnce [82]3 years ago

5 0

Answer:

49/80

Step-by-step explanation:

For getting a common denominator, each term must be multiplied in numerator and denominator by the denominator of the other term.

For example:

The 5/16 term must be multiplied by 20 (both 5 and 16)

The 6/20 term must be multiplied by 16 (both 6 and 20)

The terms would be like this:

(5x20)/(16x20)+(6x16)/(20x16)

The result would be:

100/320+96/320

As common denominator is already obtained, the expression could be one.

(100+96)/320=196/320

Now, the previous expression could be simplified. If we divide the numerator and the denominator by 4, the following result is obtained:

(196/4)/(320/4)=49/80

The expression with common denominator would be: 49/80

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If f(x) and g(x) are polynomial functions, what is the domain of f(x) + g(x) ?

IRINA_888 [86]

Answer:

all real numbers or $(-\infty, \infty)$

Step-by-step explanation:

since both f(x) and g(x) are polynomials, neither of them have restrictions on their domains. Since they can be defined for all real numbers. It's not like the square root which has a domain of (0, infinity), or log x which is defined only from (0, infinity). So adding these two polynomials would result in a domain of all real numbers.

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2 years ago

Whats the area of a circle with a circumference of 31.4unit

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Answer:

78.54

Step-by-step explanation:

first you have to divided 31.4 by 3.14 to get your diameter so you can get your radius. 31.4 divided by 3.14 equals 10 and 10 divided by 2 equals 5 which is you radius. The formula for area for a circle is πr². 5 squared is 25 and 3.14 times 25 equals 78 .54 which is your answer.

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3 years ago

HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordin

Tomtit [17]

Answers:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as $(x,y) \to (x,-y)$

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.