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leonid [27]
3 years ago
5

Why does the fact family for 81 and 9 have only two number sentences

Mathematics
2 answers:
Julli [10]3 years ago
8 0
It only has two number sentences because 81 divided by anything else wont work only 9 would. Also since 9 times 9 is equal to 81
Phoenix [80]3 years ago
5 0
<span>Because there are only two things you can do with these two "family" members. 81 divided by 9 is 9. 9 times 9 is 81. Strictly speaking, there should be three in the family: 9, 9, and 81 9 is the square root of 81. 81 is 9 squared.</span>
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6 0
3 years ago
What is the quotient of the complex number 4-3i divided by its conjugate?
almond37 [142]

Answer: C. \frac{7}{25}-\frac{24}{25}i


Step-by-step explanation:

1. You have the following division:

\frac{4-3i}{4+3i} (As you can see, to find the conjugate of  4-3i you must change the sign between the terms).

2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:

=\frac{(4-3i)}{(4+3i)}\frac{(4-3i)}{(4-3i)}=\frac{16-12i-12i+9i^{2}}{16-9i^{2}}

3. Keeping on mind that i^{2}=-1, you have:

=\frac{16-12i-12i+9(-1)}{16-9(-1)}

4. Simplifying:

=\frac{7-24i}{25}=\frac{7}{25}-\frac{24}{25}i

5. The result is:

\frac{7}{25}-\frac{24}{25}i

3 0
3 years ago
What is the domain of this function?
noname [10]
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5 0
3 years ago
In 1 1/2 hours, Sebastian can walk 4 1/2 miles.<br> What is his average speed in hours per mile?
jeka94

Answer:

The average speed of Sebastian is 3 miles per hour.

<u>Solution:</u>

Given, In 1 \frac{1}{2} hours, Sebastian can walk 4 1/2 miles.  

we have to find What is his average speed in hours per mile

We know that, average speed =\frac{\text {total distance walked}}{\text {total time taken}}

In our problem, total distance travelled = 4 \frac{1}{2} \text { miles }=\frac{4 \times 2+1}{2} \text { miles }=\frac{9}{2} \text { miles. }

\text { And, total time taken }=1 \frac{1}{2} \text { hours }=\frac{1 \times 2+1}{2} \text { hours }=\frac{3}{2} \text { miles. }

Now, average speed of Sebastian =\frac{\frac{9}{2}}{\frac{3}{2}}=\frac{9}{2} \times \frac{2}{3}=\frac{9}{3}=3

Hence, the average speed of Sebastian is 3 miles per hour.

4 0
3 years ago
a slice of bread weighs 28.349 grams. Which expression shows the weight of a slice of bread in expanded notation?
tatiyna

Answer:

2 x 10 8 x 1 .349 x 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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