find the value of a in this picture below

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Explanation:

Note that m + 1/m and m^2 + 1/(m^2) are very similar. If we square (m + 1/m), then we end up with something in the form (a+b)^2 = a^2 + 2ab + b^2, where a = m and b = 1/m. The 2ab portion is equal to 2*m*(1/m) = 2 which allows us to isolate m^2 + 1/(m^2) fully.

The steps below show this

[tex]m + \frac{1}{m} = \sqrt{71}\\\\\left(m + \frac{1}{m}\right)^2 = \left(\sqrt{71}\right)^2\\\\m^2 + 2*m*\frac{1}{m} + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} - 2 = 71-2\\\\m^2 + \frac{1}{m^2} = 69\\\\[/tex]

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Alternatively, you can isolate m in the equation [tex]m + \frac{1}{m} = \sqrt{71}[/tex] to get two irrational solutions. Plug either solution into m^2 + 1/(m^2) and you should get the same result as above.

Hey there! I'm happy to help!

First, we arrange the numbers from least to greatest.

26,29,31,31,32,37,43

The median here is 31 because it is the middle number. The three numbers before it is one half of it and the last 3 numbers are their own half, because you cannot split the 31 between the two halves.

Now, we want to find the first quartile. This is basically the media of the first half of numbers. So, our first half consists of 26,29, and 31.

The middle number of this first half is 29.

So, our Q1 (first quartile) is 29.

Now, for the third quartile. We do the exact same thing here but with the second half.

32,37,43

Looking at this, our Q3 is 37

The interquartile range is how far apart Q1 and Q3 are, so to find it, we subtract our Q1 from the Q3.

37-29=48

Therefore, our IQR is 8.

Congratulations! Now you can find the IQR of a data set! Have a wonderful day! :D

Answer:

8

Step-by-step explanation:

You first put the numbers in order. Then you find the median(in this case, 31) and after that you find the Q1 and Q3(think of Q1 as the median of the lower half and Q3 as the mdian of the upper half.) Subtract Q1 from Q3, in this case, 37-29=8. 8 is the IQR or the interquratile range.

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

x=10 and y=15

Step-by-step explanation:

1: Plug y into the equation

y=2x-5

5x-4(2x-5)=-10

2: Solve for x

-3x=-30

x=10

3: Plug x into the other equation

x=10

y=2(10)-5

4: Solve for y

y=15

Hope this helped! Brainliest would be really appreciated :)

Answer:

4. x=120

5. x=65

9. x=150

10. x=45

Step-by-step explanation:

4. Half=180

There is already a 60, so you do 180-60=120. x=120.

5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65

9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.

10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.

90+45=135

180-135=45

x=45

Hope this helped!

Answer:

4. x=120

5. x=65

9. x=150

10. x=45

Step-by-step explanation:

4. Half=180

There is already a 60, so you do 180-60=120. x=120.

5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65

9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.

10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.

90+45=135

180-135=45

x=45

Explanation:

OQ = 10 is the radius, and so is segment RO. Both are the same length as they are the radii of the same circle. Triangle ORP has a leg of RO = 10 and a hypotenuse of PO = 26. The unknown side is PR = x.

Use the pythagorean theorem. We can use this theorem because the tangent formed (at point R) creates a 90 degree angle.

a^2 + b^2 = c^2

(PR)^2 + (RO)^2 = (PO)^2

x^2 + 10^2 = 26^2

x^2 + 100 = 676

x^2 = 676 - 100

x^2 = 576

x = sqrt(576) ... apply square root

x = 24

Answer:

f(x)=−5x−20

Step-by-step explanation:

It's decreasing 5 degrees every hour, which is represented by -5x

You also have to take away the 20 (-20) from where it started.

So, f(x)=−5x−20

Answer:

f(x) = -5x - 20

Step-by-step explanation:

f(x) = starting temperature + decreasing temperature * number of hours

      = -20 + (-5) * x

      = -20 - 5x

Answer:

if they vary together then y would be 2

Step-by-step explanation:

since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y

Answer: the elementary 45

Step-by-step explanation: if you need anything else let me know

Answer:

Plane speed = 40 m/s.

Wind speed = 300 m/s.

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

Answer:

The distance of the midpoint of AB = 4 cm

The distance of the midpoint of CD = 28 cm

Step-by-step explanation:

The given information are;

Segment AD = 36

Point C and point B are points on AD such that AB:BC:CD = 2:3:4

Which gives;

The proportion of AB in AD = 2/(2+3+4) = 2/9

The length of AB = 2/9×36 = 8 cm

The proportion of BC in AD = 3/(2+3+4) = 3/9

The length of AD = 3/9×36 = 12 cm

The proportion of CD in AD = 3/(2+3+4) = 4/9

The length of AD = 4/9×36 = 16 cm

The coordinate of the midpoint of AB = 8/2 = 4 cm from A

The distance of the midpoint of AB = 4 cm

The coordinate of the midpoint of CD = 8 + 12 + 16/2 = 28 cm from A

The distance of the midpoint of CD = 28 cm.

Answer:

..

-10 + 8× 119

= -10 + 952

= 942. .....

Answer:

236 (i think)

Step-by-step explanation:

cuz 0-10= -10+8= -2 X 119=236   (sorry if you cant read this my keyboard sucks

Answer:

C) g(x) is stretched vertically by a factor of 3 and translated to the right 7 units compared to ƒ(x).

Step-by-step explanation:

Notice that by transforming  [tex]f(x)=log_5\,(x)[/tex]  into [tex]g(x)=3\,log_5\,(x-7)[/tex] we have performed the following transformations:

a) a horizontal shift to the right 7 units by subtracting 7 from the x-variable, and

b) stretching the full function vertically by a factor of 3, by multiplying the full function by 3.

Therefore, our answer matches answer C in the list of possible options

Answer:

(x,y) -> (x, -y)

Step-by-step explanation:

This is a reflection about the x-axis.

Algebraically, it can be represented by:

(x,y) -> (x, -y)

since the position along the x-axis does not change, and the y-coordinates are flipped about the x-axis, therefore flipped in sign.

Answer:

Step-by-step explanation:

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Find the algebraic representation of the reflection below. a. (-x ...brainly.com › Mathematics › Middle School

Apr 15, 2020 - Find an answer to your question Find the algebraic representation of the reflection below. a. (-x ,y) b. ( x,-y) c. (-x ,-y) d. ( y,x )

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Answer:

Step-by-step explanation:

B because 16 over 18 in decimal is .8 repeating

Hi dude....

Pls mark my ans as brainliest :)

Answer:

B. 16/18

Step-by-step explanation:

A 28/35 = 0.8

B 16/18 =  0.88888888888.....

C 19/76 = 0.25

D 133/190 =  0.7

E 30/48 = 0.625

Hope it helps.....

Pls mark my ans as brainliest

Answer:

I plotted them for you!

The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)

Step-by-step explanation:

Hope this helped :) good luck!

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

Answer:

a. 51

Step-by-step explanation:

[tex]t_{n} =a+(n-1)d[/tex]

201 = 1 + (n - 1)4

200 = (n - 1)4

50 = n - 1

51 = n

Answer:

x ≤ -1

Step-by-step explanation:

Answer:

Once

Step-by-step explanation:

She needs 1 cup of milk.

She has a cup measuring cup.

Therefore she will only to fill the measuring cup to pour cup of milk.

Answer:

1

Step-by-step explanation:

Answer:

I need the numbers

Step-by-step explanation:

Answer:

m∠MNP = (x – y)

m∠MNP = (x + y)

m∠MNP = (z + y)

m∠MNP = (z – y)

The answer is in the picture

Answer:

3 1/3 times b

Step-by-step explanation:

= 3 1/3

Answer:choice one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test

Answer:

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

Step-by-step explanation:

The solution is,

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

a) ∠D = 90

i.e.  ∠A= 90 - 55 = 35

b)  similarly,

∠CBD = 90-29

          =61

c) m AD is  sin55 = AD/40

i.e.  AD = 32.77

d) m BC is sin 29 = 22.94/BC  

i.e.  BC = 47.32

e)  m CD is tan 29 = 22.94/CD    

   i.e. CD = 41.38

f) m BD is cos 55 = BD/40  

  i.e. BD = 22.94

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

i guess it is hexagonal pyramid

as it has 7 verticies