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Veseljchak [2.6K]
3 years ago
6

If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, a*b = x*y

Thus:

8*5 = 4*(6m - 2)

Solve for m

40 = 24m - 8

40 + 8 = 24m - 8 + 8

48 = 24m

\frac{48}{24} = \frac{24m}{24}

2 = m

The value of m = 2

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Mekhanik [1.2K]

Answer:

x + 12

Step-by-step explanation:

  • (2)(x)+(2)(7) + (-1)(x) + (-1)(2)
  • 2x + 14 -x -2
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Therefore, the answer is x + 12.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx
sweet-ann [11.9K]

Given :

Polynomial , f(x)=x+\dfrac{5}{x^2}+10x+26 .

To Find :

Integration of f(x) .

Solution :

We know , integration of x^n is :

\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C

( Here , is C is a constant )

Now ,

\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\                  \\                 \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\                 \\                 \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\                 \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C

Therefore , the integration is \dfrac{11x^2}{2}+26x-5x^{-1}+C .

Hence , this is the required solution .

6 0
3 years ago
Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius.
frutty [35]

Answer:

Kayla is correct The center is a fixed  point in the middle of the sphere

Step-by-step explanation:

In mathematics we have certain habit of rules for notation of points, coordinates, segments, angles and so on.

Usually we denote points,  by letters even more we denote with the first letter of the object we are denoting

Occasionally, we also denote  segments as radius in a circle and in a sphere, with letters,  that is r stands for  radius, h stands for height, in most cases we denote point for capital letters ( in a segment)  

When we denote radius, with small letter it should be placed at the center or over the segment we are traying to denote.

For points we only need to place the letter close to the to the point we want to denote.

Therefore Kayla is correct when says that c stand for " the center of the sphere"

8 0
3 years ago
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Exterior angles of triangles: help me find the value of x please
Tasya [4]

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3 years ago
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4.
OLEGan [10]

Answer:

\cos\ A = \frac{2}{4.5}

Step-by-step explanation:

Given

sin\ A = \frac{2}{4.5}

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

\cos\ A = \frac{Adjacent}{Hypotenuse}

\cos\ A = \frac{AC}{AB}

\cos\ A = \frac{2}{4.5}

8 0
3 years ago
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