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kicyunya [14]
3 years ago
9

Sally ran 2 % miles in 12 hour. What is her speed in miles per hour?

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

if you're saying she ran .2 miles in 12 hours

then she ran .016 miles per hour

if you're saying she ran 2 miles in 12 hours,

then she ran 1/3 mile per hour or 0.3333 miles per hour

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Factor completely 81x^8-1
marysya [2.9K]

The complete factorized form for the given expression is \left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

<u>Step-by-step explanation:</u>

Step 1: Given expression:

              81 x^{8}-1

Step 2: Trying to factor as a Difference of Squares

Factoring 81 x^{8}-1

As we know the theory that the difference of two perfect squares, A^{2}-B^{2}  can be factored into (A+B) (A-B)

from this, when analysing, 81 is the square of 9, x^{8} is the square of x^{4}. Hence, we can write the given expression as,

            \left(9 x^{4}\right)^{2}-1^{2}

By using the theory, we get

           \left(9 x^{4}+1\right)\left(9 x^{4}-1\right)

Again, we can further factorise the term \left(9 x^{4}-1\right)

9 x^{4} is the square of 3 x^{2}. Therefore, it can be expressed as below

           \left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

Now, we can not factorise further the term \left(3 x^{2}-1\right). Because it will come as \sqrt{3} x (3 is not a square term). Thereby concluding that the complete factorisation for the given expression is \left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)

8 0
4 years ago
If g(x) = 2(x − 4), find the value of x if g(x) = 20
denis-greek [22]

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

4 0
3 years ago
On Saturday, Conner drives 62 1/4 miles each hour. If he travels for 4 hours, how many miles does he travel altogether? please h
Taya2010 [7]
You would multiply 62 1/4 and 4. Which you cant do that so you would have to make it into a inproper fraction so that will be 249/4 times 4/1 then you can multiply which your answer would be 996 /4 and then in simplest form would be 249/1= 249
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP: Last year, Springfield Middle School had 526 students. This year, it has 496 students. To the NEAREST TENTH,
GaryK [48]

Answer:

5.7 is the answer good sir your welcome

3 0
2 years ago
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What is the midpoint of the segment shown below?
aleksandr82 [10.1K]

Answer:

Mid\ points = (\frac{5}{2} , \frac{7}{2}).

Step-by-step explanation:

Given : End points of line are (3, 5) and  ( 2 , 2) .

To find : What is the midpoint of the line .

Solution : We have given

End  points(3, 5) and  ( 2 , 2) .

Mid\ points = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) .

Here ,

x_{1} = 3.\\x_{2} = 2.\\y_{1} = 5.\\y_{2} = 2.

The plug the values in given formula.

Mid\ points = (\frac{3+ 2}{2} , \frac{ 5+2}{2})

Mid\ points = (\frac{5}{2} , \frac{7}{2}).

Therefore, D).Mid\ points = (\frac{5}{2} , \frac{7}{2}).

4 0
3 years ago
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