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3 years ago

Please be quick !! this is due in 30 minutes !! Simplify the expression: (7x - 8)(-5)

Mathematics

1 answer:

Ivanshal [37]3 years ago

3 0

Answer:

-35x + 40

Step-by-step explanation:

Re-arrange: -5(7x - 8)
Apply the distributed property, so it now looks like this: -35x - -40
Simplify: -35x + 40

I hope this helps!

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Sin A = 90-Cos A. And Cos A = 90-Sin A.

ruslelena [56]

Sorry, wt does it mean by angle A has sin 54

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3 years ago

ACTIVITY 2

Harlamova29_29 [7]

Answer:

1.False

2.False

3.True

4.True

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3 years ago

1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β

slava [35]

Step-by-step explanation:

$\tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20}$

$\csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta$

Therefore,

$\sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20}$

$\csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2}$

$= > \sin y = - \frac{ \sqrt{6} }{3}$

Use the identity

$\cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3}$

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

$\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2}$

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

$\sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} }$

Solving for tan x:

$\tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5}$

5 0

3 years ago

How do you write number 20 in exponential form? Explain please.

SOVA2 [1]

It is (7x)^(2/3). If we look at our exponent laws (SEE ATTACHMENT), we can see that we can express our equation as so.

3 0

3 years ago

Element X is a radioactive isotope such that every 66 years, its mass

LenKa [72]

Answer:

194.5315427 grams

Step-by-step explanation:

The half-life of element x would be 66 years. So, after 20 years you would have:

.5^(20/66) x 240=0.810548 x 240

=194.5315427 grams of the element left ......

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3 years ago