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3 years ago

Identify the equation that means eleven less than x is twenty-three

1 answer:

7 0

Hey there! :)

<em>Let's simplify the equation</em>

eleven less than x = x - 11
"is" is equal to =
twenty-three = 23

That equals: x - 11 = 23

Your answer is: x - 11 = 23; x = 34

Hope this helps :)

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Solve the equation for principal values of x. Express solutions in degrees.

Hitman42 [59]

Option C:

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Solution:

Given equation:

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

<u>To find the degree:</u>

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

Subtract 1 + cos²x from both sides.

$\sin x-1-\cos ^{2} x=0$

Using the trigonometric identity: $\cos ^{2}(x)=1-\sin ^{2}(x)$

$\sin x-1-\left(1-\sin ^{2}x\right)=0$

$\sin x-1-1+\sin ^{2}x=0$

$\sin x-2+\sin ^{2}x=0$

$\sin ^{2}x+\sin x-2=0$

Let sin x = u

$u^2+u-2=0$

Factor the quadratic equation.

$(u+2)(u-1)=0$

u + 2 = 0, u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

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2 years ago

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If 1/2x = a= 2/3y and x + y= na, what is the value of n?

Fynjy0 [20]

Answer:

Step-by-step explanation:

$\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}$

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2 years ago

Look at image for question

jek_recluse [69]

Answer:

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Step-by-step explanation:

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1 year ago

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elena-s [515]

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3 years ago

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JulsSmile [24]

Answer:

Step-by-step explanation:

AB/AC =1/2

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You would get 4/5 still trying to work out the last mark

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