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timurjin [86]
3 years ago
9

Write a slope-intercept equation of the line that passes through the points (4,11) and (6,8).

Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

y=\frac{3}{-2}x +17

Step-by-step explanation:

\frac{11-8}{4-6}=\frac{3}{-2}=slope

11=\frac{3}{-2} *4 + C

11=-6 + C

17=C=Y-intercept

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Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
Nostrana [21]
822.42 miles in 2.7 hours

304.6 × 2.7 = 822.42
8 0
4 years ago
36 is 72% of what number
Dmitry_Shevchenko [17]
36/72=0.5
0.5*100=50
Therefore 36 is 72% of 50

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Solve the quadratic function by completing the square. what are the missing pieces in the steps? –32 = 2(x2 10x) –32 = 2(x2 10x
NemiM [27]

An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,

-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8

Thus, the solution of the quadratic equation is -2 or -8.

Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.

Learn more about Equation:

brainly.com/question/2263981

6 0
2 years ago
You have 100 cm of string which can be cut in one place (or not cut at all) and then formed into a circle and a square (or just
Ne4ueva [31]

Answer:

44cm for minimum area and 0 for maximum area (circle)

Step-by-step explanation:

Let's C be the circumference of the circle and S be the circumference of the square. If we cut the string into 2 pieces the total circumferences would be the string length 100cm.

S + C  = 100 or S = 100 - C

The side of square is S/4 and radius of the circle is \frac{C}{2\pi}

So the area of the square is

A_S = \frac{S^2}{4^2} = \frac{S^2}{16}

A_C = \pi\frac{C^2}{(2\pi)^2} = \frac{C^2}{4\pi}

Therefore the total area is

A = A_S + A_C = \frac{S^2}{16} + \frac{C^2}{4\pi}

We can substitute 100 - C for S

A = \frac{(100 - C)^2}{16} + \frac{C^2}{4\pi}

A = \frac{100^2 - 200C + C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + \frac{C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + C^2(\frac{1}{16} + \frac{1}{4\pi})

To find the maximum and minimum of this, we can take the first derivative and set that to 0

A^{'} = -12.5 + 2C(\frac{1}{16} + \frac{1}{4\pi}) = 0

C(\frac{1}{8} + \frac{1}{2\pi}) = 12.5

C \approx 44 cm

If we take the 2nd derivative:

A^{''} = \frac{1}{8} + \frac{1}{2\pi} > 0

We can see that this is positive, so our cut at 44 cm would yield the minimum area.

The maximum area would be where you not cut anything and use the total string length to use for either square or circle

if C = 100 then A_C = \frac{C^2}{4\pi} = \frac{100^2}{4\pi} = 795.77 cm^2

if S = 100 then A_S = \frac{S^2}{16} = \frac{100^2}{16} = 625 cm^2

So to yield maximum area, you should not cut at all and use the whole string to form a circle

4 0
4 years ago
37-0 = 37. what is the property used forr this sum?
denis23 [38]
O is the property for the question.
8 0
3 years ago
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