Help please this is due soon!!!!!!!

Mathematics

2 answers:

NNADVOKAT [17]2 years ago

4 0

Answer:

a)22/3

b)d. 2/11

Step-by-step explanation:

you are correct

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

Step-by-step explanation:

Slope of (-4,7),(-7,-15) is 22/3

Slope of the function is 2/11

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2. Pam is making fruit baskets. She has 30 apples and 24 bananas.

Digiron [165]

Answer:

Six

Step-by-step explanation:

$\dfrac{\text{apples}}{\text{bananas}} =\dfrac{30}{24}$

Find the greatest common factor of each number.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor of 30 and 24 is 6.

Jane can make six fruit baskets if she divides the fruit evenly among them.

6 0

3 years ago

Integrate sin²2x cos²2x dx

DochEvi [55]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$