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3 years ago

Help me please I will really appreciate it

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

For the parallel one the gradient will stay the same, so you just need to work out the y-intercept

3=(-12)-6+c

3=12+c

c=-9

equation for parallel line y=-6x-9

Then for perpendicular the gradient is the reciprocal

so you substitute again

3=1/6(-2)+c

3=-1/3+c

c=10/3

the equation for perpendicular is y=1/6x+10/3

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Step-by-step explanation:

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4 years ago

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Lowering powers write in terms of first power of cosine. Cos^6

yaroslaw [1]

The main identity you need is the double angle one for cosine:

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

We get

$\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8$

Expand the numerator to apply the identity again:

$\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8$

$\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8$

$\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8$

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x$

Finally, make use of the product identity for cosine:

$\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2$

so that ultimately,

$\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x$

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4 years ago

Shuping and joshua had the same amount of money. Joshua paid $9.10 for a bag and had $16.25 left. Shuping bought a pen and had $

tiny-mole [99]

Answer:

$5.75

Step-by-step explanation:

Joshua paid $9.10 for a bag and has $16.25 left

Now let's find out how much Joshua had before spending on a bag. To do this, we simply sum up the cost of the bag and how much Joshua had lefyt

9.10 + 16.25

=$25.35

Since Joshua and Shopping had the same amount, Shuping also had $25.35

To get the cost of the pen, we subtract the amount Shuping had left after purchasing the pen

This gives;

25.35 - 19.60

=$5.75

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3 years ago

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Answer:

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3 years ago

I need help with this

lorasvet [3.4K]

I think the last one is right hope this helps

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3 years ago