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Marina86 [1]
2 years ago
7

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics
1 answer:
uranmaximum [27]2 years ago
6 0

Step-by-step explanation:

just look what happened :

every term was multiplied by a factor with the value 1 (to keep the original value) but to establish a common denominator.

a/b was multiplied by d/d, and c/d was multiplied by b/b, so that the common denominator is then bd.

so, the first answer option is correct.

although I am a bit unhappy with its phrasing.

but the other options are definitely wrong.

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Triangles L M N and L K N are connected at side L N. A line is drawn from point M to point K and intersects side L N at point P.
lesya692 [45]

The true statement is Line MK is the perpendicular bisector of LN and ML is ≅  MN.

<h3>What is perpendicular?</h3>

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

Δ LMN and Δ LKN are connected at side LN.

As per the information,

Line MK is the perpendicular bisector of LN. and ML ≅  MN.

Learn  ore about this concept here:

brainly.com/question/25397944

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8 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Paraphin [41]

Answer:

B. 5x - 4y = 12

Step-by-step explanation:

Let's convert this to slope-intercept form to interpret the equation easier.

5x - 4y = 12

Subtract 5x from both sides.

-4y = -5x + 12

Divide both sides by -4.

y = 5/4x - 3

Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.

7 0
3 years ago
By using the table in the handbook, the present value of $12,000 for six years compounded at 6 percent semiannually is
denis23 [38]
Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)

6 0
3 years ago
If 30.0 moles of oxygen are used, how many grams of water will form?
liberstina [14]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Solve. Write your answer in interval notation.
lina2011 [118]

Answer: x < 3 or x ≥ 11

(-∞, 3) or [11, ∞)

Step-by-step explanation:

subtract 4 from each side

2x < 6 .     or .         3x  ≥ 33

x < 3 or x ≥ 11

make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.  

3 0
3 years ago
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