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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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Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t
Trava [24]

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}

\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

5 0
2 years ago
If the zeros of a quadratic equation are<br> 7 and 4, what would be the factors?
Snowcat [4.5K]

Answer:

The factors are (x-7) and (x-4)

Step-by-step explanation:

We are finding the factors of a function from the zeros

The zeros are 7 and 4

We can use the zero product property which is

(x-b)(x-c) = 0  where b and c are the zeros

(x-7) (x-4) =0

The factors are (x-7) and (x-4)

4 0
2 years ago
Read 2 more answers
are this calculations correct? 65-32=34 and 47+39=86.Show how you could check this using the inverse.
Alexxandr [17]
<span>STEP 1: Stick a "y" in for the "f(x)" guy:STEP 2: Switch the x and y. ( because every (x, y) has a (y, x) partner! ):STEP 3: Solve for y:<span>STEP 4: Stick in the inverse notation, continue. 1 2 3.
these are the steps and that is not correct </span></span>
5 0
2 years ago
Read 2 more answers
A proper unbiased coin was tossed 10 times for 3 trials, giving TTHHTHTTHH, TTTTTHHHHH, and THTHHHTTH (T = Tails; H = Heads). Wh
nadya68 [22]
Theoretical probability is what, theoretically, the probability <em>should </em>be, regardless of data. Because there are only two options, the probability for getting heads on each toss should be 50%. For the total thirty tosses, theoretically, the coin <em>should</em> land on heads fifteen times, or five per trial, which is determined solely on the number of options.

Experimental probability is what the probability was based on the given data. In the first trial, head was scored 5 times, or 5/10, or 50%. This was repeated in the second and third trials. So, based purely <em>on the data,</em> the probability of the coin landing on heads was also 50%.

I hope this helps!
~Chrys

5 0
3 years ago
Read 2 more answers
-8 -8x + 10 + 6x = 19
hram777 [196]

Answer:

x = -8.5

Step-by-step explanation:

Let's rearrange the question to find x :)

-8x + 6x + 10 - 8 = 19

-2x + 2 = 19

-2             -2

-2x = 17

/-2      /-2

x = -8.5

4 0
2 years ago
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