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Over [174]
3 years ago
8

For what value of α is (α, 9) a solution of the equation y=2x+1?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
Treat (a, 9) as an x and y value

Set the equation equal to 9

9= 2x+1
8= 2x subtract one
4= x divide by 2

a must be equal to four
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$288 Okay so for a 240 plus a 20 percent is should be 288 dollars. Correctme if im wrong
4 0
3 years ago
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Write the complex number in polar form with argument between 0 and 2.
pychu [463]

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draw a diagram :

<em>z = r(cos θ + i sin θ), where z = complex number, r = modulus, θ = angle of rotation For the given:r = 2θ = π/6 √3 + i = 2(cos π/6 + i sin π/6)</em>

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5 0
2 years ago
Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attach
Cloud [144]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

by \: simplifying \: the \: given \: expression \: using \:  \\ law \: of \: exponents \: we \: get \\  \frac{15 {x}^{15}  {y}^{ - 3}  {z}^{4} }{18 {x}^{18}  { {y}^{4}  {z}^{ - 4} }^{} }  \\   = \frac{5  \: {x}^{ - 3}  {y}^{ - 7} {z}^{8}  }{6}  \\ we \: may \: also \: write \: as \\  =  \frac{5 {z}^{8} }{6 {x}^{3}  {y}^{7} }

formulae \: used  \ \: : \\  \frac{ {x}^{m} }{ { {x}^{n} }^{} }  =  {x}^{m - n}  \:  \:  \: and \\  {x}^{ - m}  =  \frac{1}{ {x}^{m} }

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
Read 2 more answers
The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in th
Over [174]
Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.
8 0
3 years ago
I NEED HELP PLEASE! :)
I am Lyosha [343]

Answer:

B. 439.6 ft^2

Step-by-step explanation:

<em><u>The formula for surface area of a cylinder is:</u></em>

A = 2πrh + 2πr^2

A = 2π(5)(9) + 2π(5)^2

A = 282.6 + 157

A = 439.6

3 0
3 years ago
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