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2 years ago

(Please help, Multiple Choice) Find the value of X

Mathematics

1 answer:

Nataliya [291]2 years ago

3 0

Answer:

X=19

Step-by-step explanation:

7x-8=6x+11

x=19

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Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

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Answer:

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Step-by-step explanation:

This is an impulse purchase since Ronnie didn't plan to by the stereo before entering the store. An impulse purchase comes from the word impulse I.e sudden urge leading to a prompt action. An impulse purchaser does not budget for whatever they buy rather are influenced by their emotions. If they're attracted to that item, they'll buy it instantly.

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The missing length: sqrt (24^2 + 10^2) m Answer: 26 m

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X+1/3y=4 in slope intercept form EXPLAIN

skad [1K]

Answer:

Y = 12

Step-by-step explanation:

x + 1/3y = 4

Multiply both sides of the equation by 3.

3 ⋅ 1 3 ⋅ y = 3 ⋅ 4

Simplify both sides of the equation:

1. Simplify both sides of the equation.

2. Multiply 3 by 4

How to simplify:

Cancel the common factor of 3

Rewrite the expression.

Multiply by 1

y = 3 ⋅ 4

Multiply 3 by 4

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Answer:

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