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puteri [66]
3 years ago
10

Write the equation of the line, in slope-intercept form, formed from the coordinates (6,-12) and (15,-3)

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0
The answer to the question

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Simply using exponents .Then find the products .
aksik [14]

Answer:

\sqrt[7]{b^{15}}

Step-by-step explanation:

=> b^2*\sqrt[7]{b}

=> b^2*b^{1/7}

Where bases are same, powers are to be added.

=> b^{2+(1/7)}

=> b^ {14+1/7}

=> b^{15/7}

=> \sqrt[7]{b^{15}}

6 0
3 years ago
This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.
jolli1 [7]

Answer:

a) y(t) =  \sqrt{2t + 1 }

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

\frac{dy}{dt}  =  \frac{1}{y}   \\   \\ ydy = dt  \\ \\ integrating \: both \: sides \\   \\  \int y \: dy =  \int 1 \: dt \\  \\  \frac{ {y}^{2} }{2}  = t + c \\  \\  {y}^{2}  = 2t + 2c \\  \\ y (t)=  \sqrt{2t + 2c} ...(1) \\  \\ a)  \:  \: \: plug \: t = 0 \: in \: (1) \\  \\  y (0)=  \sqrt{2(0) +2 c} \\  \\ y (0)=  \sqrt{0 +2 c} \\  \\ 1 =  \sqrt{2c}  \:  \: ( \because \: y (0)=1) \\  \\  2c = 1   \:  \implies \: c =  \frac{1}{2} \\  \\ plug \: c = \frac{1}{2} \: in \: (1) \\  \\ y(t) =  \sqrt{2t + 2 \times  \frac{1}{2} } \\  \\  \huge \:  \red {y(t) =  \sqrt{2t + 1 } } \\  \\b) \:  \:  plug \: y(t) = 2 \: in \: above \: equation \\  \\ 2 =  \sqrt{2t + 1}  \\  \\ 4 = 2t + 1 \: \\  (squaring \: both \: sides) \\  \\ 4 - 1 = 2t \\  \\ 2t = 3 \\  \\ t =  \frac{3}{2}  \\  \\ t = 1.5 \: hours \\

6 0
2 years ago
Give a rule of the piecewise-defined function.
nataly862011 [7]

The equation of the piecewise function is f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The piecewise function</h3>

On the graph, we have:

  • y = 3 for all x values not more than -1
  • y = -1 for all values greater than 2

Hence, the piecewise function is:

f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

5 0
2 years ago
Please Help , Thank You
olya-2409 [2.1K]
I'll go with A and B 

Hope this helps 
6 0
3 years ago
Read 2 more answers
Please help ASAP. I am confused
Lesechka [4]

Answer:

So if ∠X is 70° then ∠Y is most likely going to be 70° as well. So if you take 180° which is a straight line and subtract both of the 70°'s you'd get 40°. This answer seems pretty accurate to me.

Step-by-step explanation:

Hope this helps you out! :)

(If any question s put them below and I'll try my best to answer them)

3 0
3 years ago
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