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QveST [7]
2 years ago
14

There is a line that includes the point (6,9) and has a slope of 3. What is its equation in

Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

Answer:

y=3x-9

Step-by-step explanation:

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What is 5.68 x 10^4 in standard form
scZoUnD [109]

Answer:

Since the exponent of the scientific notation is positive  4, move the decimal point  4  places to the right.  

56800

Step-by-step explanation:

5.68(104)


=5.68*104


=5.68*(10*10*10*10)


=56800

7 0
3 years ago
Read 2 more answers
Consider the initial value function y given by
Nuetrik [128]

Answer:

y(s) = \frac{5s-53}{s^{2} - 10s  + 26}

we will compare the denominator to the form (s-a)^{2} +\beta ^{2}

s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}

comparing coefficients of terms in s

s^{2} : 1

s: -2a = -10

      a = -2/-10

      a = 1/5

constant: a^{2}+\beta ^{2} = 26

               (\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = A(s-a)+B((s-a)^{2} +\beta ^{2} )

we insert the values of a and β

  \\5s-53 = A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

<em>the constants are</em>

<em>a = 0.2</em>

<em>β = 5.09</em>

<em>A  = 5.4</em>

<em>B = -2</em>

<em></em>

Step-by-step explanation:

  1. since the denominator has a complex root we compare with the standard form s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}
  2. Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
  3. substitute the values gotten into the function
  4. Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
  5. after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0
2 years ago
Carrie works as a library assistant in Orpington
lukranit [14]

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

4 0
2 years ago
What is the square root of 24
RideAnS [48]
The square root of 24 is = 4.898979485566357
6 0
3 years ago
The length of one leg of a right triangle is 9cm and 40cm
Damm [24]

Answer:

Step-by-step explanation:

I think ur is D but I'm not sure

4 0
2 years ago
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