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jarptica [38.1K]
3 years ago
9

How many solutions does the equation 4p + 7 = 3 + 4 + 4p have?

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Let's solve the given equation to get the answer.

4p + 7 = 3 + 4 + 4p

4p+7=7+4p By simplifying.

4p+7-4p=7+4p-4p By subtracting 4p from each sides.

7=7

From the above result notice that p has vanish and we are left with 7=7.

So, there is infinitely many solutions.

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30 \div \frac{1}{3} 30÷ 3 1 ​
ioda

Answer:

<h2>90</h2>

Step-by-step explanation:

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7 0
2 years ago
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Is 45 divisible by 4
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Answer:

No

Step-by-step explanation:

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8 0
2 years ago
1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
slava [35]

Step-by-step explanation:

1.

\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}

2.

\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
2 years ago
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baherus [9]
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3 years ago
Point A (-3, 5) is translated 4 units right and 2 units down. What are the coordinates of A'?
mixas84 [53]

Answer:

(1,3)

Step-by-step explanation:

it moved in the positive X axis (right), and the negative Y axis (down)

5 0
3 years ago
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