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3 years ago

7

3y-2x-4x+5x+7 please help meeeeeeeeeeee

2 answers:

Cloud [144]3 years ago

6 0

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

Goryan [66]3 years ago

5 0

$3y-2x-4x+5x+7\\\\=3y-x+7$

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Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

What value of x makes this equation true?<br> 4r - 10 = 18

Bond [772]

X= 7
This is because of you plug in 7 for x into the equation it will give you 28-10 which is 18.

6 0

3 years ago

Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.

Wewaii [24]

Answer:

$P(E\ or\ F) = 0.60$

Step-by-step explanation:

Given

$P(E) = 0.25$

$P(F) = 0.40$

$P(E\ and\ F) = 0.05$

Required

Determine P(E or F)

This is calculated using:

$P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)$

$P(E\ or\ F) = 0.25 + 0.40 - 0.05$

$P(E\ or\ F) = 0.60$

4 0

3 years ago

Sarah used 3/4 pound of blueberries to make 1/2 cup of Jam. How many pounds of blueberries would she need for 1 cup of jam

Ymorist [56]

1 / 4 cup of blueberries

5 0

3 years ago

If ABC is congruent to DBE find x

murzikaleks [220]

Answer:

x=44 degrees

Step-by-step explanation:

5y-4 has to equal 81 in order for the two triangles to be congruent.

The sum of the interior angles of a triangle is always 180 degrees.

81+51=132 degrees

180-132=48

x+4=48

x=48-4

x=44 degrees

6 0

3 years ago

Read 2 more answers