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Harlamova29_29 [7]
3 years ago
9

Which expression is equivalent to r to the 9th over r to the 3rd

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

r^{6}

Step-by-step explanation:

To make this a bit easier to see, we'll expand that expression.

R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.

(excuse my bad formatting)

<u>The expression:</u>

<u>r • r • r • r • r • r • r • r • r • 1</u>

             r • r • r • 1

Remember, anything and everything has a coefficient or denominator of 1.

So, we can cancel 3 r's from the numerator and denominator.

<u>r • r • r • r • r • r • 1</u>

             1

Simplify....

\frac{1r^{6}}{1}

That just equals r^{6}.

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Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component f
Umnica [9.8K]

Answer:

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Step-by-step explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

\sqrt{11.57^{2} +13.79^{2} } = 18.0

In vector component form ai + bj = 11.57i + 13.79j

7 0
4 years ago
Factorise 2xsquared X 7x +3
Monica [59]

Answer:

 (-2x - 1) • (x + 3)

Step-by-step explanation:

3.2     Factoring  2x2 + 7x + 3

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   2 • 3 = 6

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   7 .

     -6    +    -1    =    -7

     -3    +    -2    =    -5

     -2    +    -3    =    -5

     -1    +    -6    =    -7

     1    +    6    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  6

                    2x2 + 1x + 6x + 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (2x+1)

            Which is the desired factorization

5 0
3 years ago
Consider the incomplete paragraph proof. given: isosceles right triangle xyz (45°–45°–90° triangle) prove: in a 45°–45°–90° tria
mash [69]

1. We have to prove that in a 45°–45°–90° isosceled triangle, the hypotenuse is times the length of each leg.

2. Since, triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, which states a^2+b^2=c^2

But, in isosceles triangle it becomes 

a^2+a^2=c^2

3. By combining like terms, we get

2a^2=c^2

4. Now, we will determine the principal square root of both sides of the equation.

\sqrt2 a = c

5. Dividing both sides of the equation by '2', we get

\frac{a}{\sqrt 2} = \frac{c}{2}

a = \frac{c}{\sqrt 2}

So, c = \sqrt{2}a

6. So the hypothenuse c is \sqrt 2  times the length of each leg 'a'.

6 0
4 years ago
Read 2 more answers
Check-Ins 2 NC Math 1
fomenos

The maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

<h3>How to determine the difference?</h3>

The function is given as:

f(x) = -0.5x^2 + 5x - 6

Differentiate the function

f'(x) = -x + 5

Set to 0

-x + 5 = 0

Make x the subject

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Substitute x = 5 in f(x)

f(5) = -0.5 * 5^2 + 5 * 5 - 6

f(5) = 6.5

The table is not given.

Hence, the maximum amount of profit the carnival makes based on the number of tickets sold is 6.5 thousand of dollars,

Read more about quadratic functions at:

brainly.com/question/18797214

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2 years ago
Solving One Step Inequalities 2
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Answer:

false its the opposite

Step-by-step explanation:

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