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Eva8 [605]
2 years ago
7

Urgent ;if a^3+b^3=11 and a^3-b^3=5, evaluate a^6-b^6

Mathematics
1 answer:
11111nata11111 [884]2 years ago
5 0

Factorize using the difference of squares identity.

a^6 - b^6 = \left(a^3\right)^2 - \left(b^3\right)^2 = \left(a^3 - b^3\right) \left(a^3 + b^3\right)

Then

a^6 - b^6 = 11 \cdot 5 = \boxed{55}

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Does nayone know the answer<br> 12z – 5z + 9z2
vichka [17]
The answer is 25z if you need to know how i can show you
5 0
3 years ago
Use your understanding of the unit circle and trigonometric functions to find the values requested.
vfiekz [6]

Answer:

a) For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

b) From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

Step-by-step explanation:

For this case we can use the notable angls given on the picture attached.

Part a

For this case we can use the fact that sin (\pi/3) = \frac{\sqrt{3}}{2}

And for this case since we ar einterested on -\frac{\pi}{3} and we know that the if we are below the y axis the sine would be negative then:

sin (-\pi/3) = -\frac{\sqrt{3}}{2}

Part b

From definition we can use the fact that tan x= \frac{sin x}{cos x} and we got this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}

We can use the notabl angle \pi/4 and we know that :

sin (\pi/4) = cos(\pi/4) = \frac{\sqrt{2}}{2}

Then we know that 5\pi/4 correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:

tan (5\pi/4) = \frac{sin(5\pi/4)}{cos(5\pi/4)}= \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1

6 0
3 years ago
Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale. if she bought 22 frames
BaLLatris [955]

small frames ($8): s

large frames ($15): L


Cost:        8s + 15L = 239   ⇒ 1(8s + 15L = 239)   ⇒    8s + 15L = 239  

Quantity:   s  +   L   = 22   ⇒  -8( s  +   L   = 22)   ⇒  <u> -8s   -8 L  = -176 </u>

                                                                                               7L  = 63

                                                                                                  L = 9

Quantity:   s + L = 22 ⇒   s + (9) = 22   ⇒   s = 13

Answer: 13 small frames, 9 Large frames

7 0
3 years ago
Read 2 more answers
Please help me!!!!!!!
Helen [10]
First we will find the value of x.

To find the value of x we can add angle Q and angle O and set them equal to 180 and solve for x.

We will be setting them equal to 180 since the opposite angles of an inscribed quadrilateral are supplementary.

angle Q + angle O = 180
6x - 5 + x + 17 = 180
7x +12 = 180
7x = 168
x = 24

Now we can use 24 for x and find the value of angle QRO

angle QRO = 2x + 19
angle QRO = 2(24) + 19
angle QRO = 48 + 19
angle QRO = 67

So the answer choice B is the right answer.

Hope this helps :)<span />
6 0
3 years ago
2 2/5 multiplied by 2 multiplied by 3 1/5
goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

​

×2×3

5

1

​

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

​

×2×3

5

1

​

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

​

×2×3

5

1

​

4 Convert 3\frac{1}{5}3

5

1

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

​

×2×

5

3×5+1

​

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

​

×2×

5

15+1

​

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

​

×2×

5

16

​

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

​

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

​

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

​

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

​

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

​

8 0
3 years ago
Read 2 more answers
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