{x^{2} +1/x^{2} }=66 find x-1/x

Answers

Answer 1

Answer:

Step-by-step explanation:

The solution is attached herewith.

{x^{2} +1/x^{2} }=66 Find X-1/x
Answer 2

Answer:

x = ± 8

Step-by-step explanation:

Note that

(x - [tex]\frac{1}{x}[/tex])² = x² - 2 + [tex]\frac{1}{x^2}[/tex] = 66 - 2 = 64

Take the square root of both sides

x - [tex]\frac{1}{x}[/tex] = ± [tex]\sqrt{64}[/tex] = ± 8


Related Questions

Angelo cuts a triangle from a sheet of paper as shown. What is the measure of angle x in the triangle ​

Answers

Answer:

The measure of angle x is [tex]15\°[/tex]

Step-by-step explanation:

we know that

In the figure

[tex]75\°+x\°=90\°[/tex] -----> by complementary angles

so

Solve for x

[tex]x=90\°-75\°=15\°[/tex]

What is the slope of the line l described by the equation below? y=-2x+4

Answers

Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

f(1) = -2(1) + 4 = 2

f(1)=2

Use the equation to find slope.

m(slope) = [tex]\frac{2-4}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2

The slope would be -2.

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

The slope is -2.

Answer:

y = -2x + 4 slope is -2

Step-by-step explanation:

that's what I got

Using a tape measure, Melanie found that the circumference of the great
redwood was 600 cm. She estimated that its diameter was 200 cm. Was
Melanie’s estimate a little too large, a little too small or right on?

A little too large
Right on
A little too small

Answers

Circumference is pi x diameter so we have to divide 600 by pi to get the actual diameter. 600÷3.14=191cm, so her estimate was a little too small

Answer:

Step-by-step explanation:

A. Little too large

Because

C= (Pi)*d

600=(pi)*200

So the answer is the A.

Find the surface area

Answers

Using the given equation, replace r with 5 and h with 30 and PI with 3.14:

SA = 2(3.14)(5)^2 + 2(3.14)(5)(30)

SA = 6.28(25) + 6.28(150)

SA = 157 + 942

SA = 1099 square inches.

How do you find the center of dilation and scale factor in geometry?

Answers

Answer:

See below

Step-by-step explanation:

Centre of dilation

Dilation gives you a new shape that is either larger or smaller than the original.

In either case, every ray that  passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).

Scale factor

To get the scale factor, you measure the ratio of lengths of corresponding sides in the  shapes.

For example, a line in the red figure below may be four times as long as the corresponding line in the other.

If the dilation converts the blue shape into the red one, the scale factor is 4:1.

If the dilation converts the red shape into the blue one, the scale factor is 1:4.

Final answer:

To find the center of dilation and scale factor in geometry, identify the fixed point and multiply the actual size by the scale factor. Using Calvin's map, with a scale factor of 1/800, the 80-meter distance between houses translates to 10 centimeters on the map.

Explanation:

To find the center of dilation in geometry, you need to identify a fixed point in the plane around which all other points are either expanded or contracted. The scale factor determines how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 indicates an enlargement, while a scale factor between 0 and 1 indicates a reduction.

Let's use Calvin's map problem as an example. Calvin has a scale factor of 1/800 for his map, and the actual distance between his house and his best friend Frank's house is 80 meters. To find the scale dimensions, we use the following steps:

Convert the actual distance to a compatible unit with the map's scale. Here, we convert meters to centimeters since the map is likely in centimeters (80 meters = 8000 centimeters).

Multiply the actual distance by the scale factor: 8000 cm * (1/800) = 10 cm.

The distance between the two houses on the scale drawing should be 10 centimeters.

Explain clearly why a regular hexagon will tessellate but a regular decagon will not.

Answers

A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.

The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)

The regular decagon will not tessellate because 360° is not divisible by 144°.

the volume of a box (V) varies directly with its length (l). if one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant proportionality for the group of boxes

Answers

ANSWER

The constant of proportionality is 24.

EXPLANATION

If the volume of a box (V) varies directly with it's length (l), then we can write the mathematical statement,

[tex]V\propto l[/tex]

We introduce the constant of proportionality k, and write the equation,

[tex]V = k l[/tex]

When V=288, l=12.

We substitute these values to obtain;

[tex]288 = 12k[/tex]

Divide both sides by 12,

[tex]k = \frac{288}{12} =24 [/tex]

Answer: 24

Step-by-step explanation: got it righ

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?

Answers

Answer:

−19810916

Step-by-step explanation:

plz vote my answer the brainiest, i rlly need it thanks!

hope this helps!

Final answer:

The sequence given is a geometric sequence with a common ratio of -3. The sum of the first ten terms of the sequence is calculated using the formula for the sum of a geometric series to be -236196.

Explanation:

The sequence given, 4, -12, 36, -144, ..., is actually a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this sequence, the common ratio is -3.

To find the sum of the first n terms in a geometric sequence, we use the formula: S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term in the sequence, r is the common ratio, and n is the number of terms.

If we insert our values into formula, we get: S_10 = 4*(1 - (-3)^10) / (1 - (-3)), which results in S_10 = -236196.

So, the sum of the first ten terms of the sequence is -236196.

Learn more about Geometric Sequence here:

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Translate answer T^2=A^3 into words

Answers

Answer:

T to the power of two equals A to the power of 3

~batmans wife dun dun dun...aka ~serenitybella

Answer:

Step-by-step explanation:

Té al cuadrado es igual a A al cubo.

4-(3-5)=
I need help

Answers

Answer:

6

Step-by-step explanation:

I'm 99% sure you know the answer to this and didn't have to resort to this website.

3-5 = -2

Subtracting negative numbers means it becomes positive.

So the gist is that your adding 4 and 2 which is 6.

There are 25 lettuce plants. If you split them equally among 5 rows, how many lettuce plants are in each row? and it wants me to pick three anwers

Answers

Answer:

If there are 25 lettuce plants, and five rows you split the 25 among the five rows giving you 5  lettuce plants per row.

Step-by-step explanation:

25 / 5 = 5

A sweater that regularly sold for $52 is now on sale at 30% off. What is the sale price?



Answers

Answer:

Step-by-step explanation:

What you have to do is set it up like this

what you have to do is

(30*52) ÷ 100=x

1664 ÷ 100= 16.64

52-16.64= 35.36

35.36 is the new sale price

if a cylindrical glass with a radius of 3 , height of 8 centimeters . of the glass is 60% fool of soda how many cubic centimeters of soda are in the glass?

Answers

43.2pi cubic centimeters (about 135.648)



First, find the volume of the glass using the formula (pi)r^2*h.

pi * 3^2 * 8

pi * 9 * 8

72pi

Now, find 60% of that by multiplying by 0.6.

72pi * 0.6

43.2pi

If you want, you can estimate the answer by using 3.14 as pi.

43.2 * 3.14

135.648

find the original price of a pair of shoes that was discounted 20% and now sell for $54

Answers

$67.50

Original price = x

The original price of a pair of shoes was discounted 20%.

20% = 20/100 = 0.2

1 - 0.2 = 0.8

x * 0.8

Now they sell for $54.

x * 0.8 = 54

Solve to find x.

54 / 0.8 = x

x = 67.5

Convert that to currency.

$67.50

Jackie purchased 4 cupcakes for $4.50 each. There was a 10% sales tax on her total order. How much did she pay for her order?

Answers

4 x $4.50 to find out how much she paid for all four together

$18 for 4 cupcakes.

now multiply $18 by .10

$1.80

add $18 and $1.80 to find total

$19.80

which do you think is greater 4 x 3 2/5 or 3 x 4 2/5

Answers

Answer: the answers are both the same

Step-by-step explanation:3x4=12

12+2/5=12 2/5

4x3=12

12+2/5=12 2/5

12 2/5=12 2/5

By looking at linear equations we can tell how they will interact in the coordinate plane. Which of the following are possible if two linear equations are graphed? Select all that apply.

They could be parallel to each other.
They could intersect at two points.
They could be perpendicular to each other.
They could be skew lines.
They could be the same line.

Answers

Answer:

1,3,5

Step-by-step explanation:

Answer:

1,3,5

Step-by-step explanation:

Harry Julie’s best friend also paid $25.00 for three T-shirt’s at the sale at JCPenny the sale price saved harry 30% of the original price of the three T-shirts what is the original price of Harry’s three T-shirt’s ?

Answers

Answer:

$15

Step-by-step explanation:

30% of $25

Find 10% = 2.5

2.5 x 2 = 5

5 x 3 = $15

Please help will give points!!!!

Answers

Answer:

Between 1 and 6

What is a unit rate math

Answers

Answer:

A unit rate is the answer which you get when you divide one of the numbers by the other. This is how much one would be. Here is a video:

htt ps:  / /ww w.you tu be.co m/  wa tc h?v=  Z m0  KaIw -3

5k

Just remove the spaces in between and you should be alright.

Final answer:

A unit rate is a comparison of two measurements with one unit having a value of 1, such as 55 miles per hour (55/1 miles/hour). Unit rates are useful in mathematics and science to understand how quantities relate on a per-unit basis, which is essential for dimensional analysis and unit conversions.

Explanation:

A unit rate is a type of rate that compares a quantity to one unit of another quantity, essentially telling us how much of one thing is present per one unit of another thing. A common example of a unit rate is speed, such as 55 miles per hour, which is written as 55 miles/1 hour. Here we are comparing the distance traveled to the time taken to travel that distance, indicating how many miles are covered in one hour.

Unit rates are related to proportions, which are equations that state that two ratios are equivalent. For example, 1/2=3/6 is a proportion. However, a unit rate always has a denominator of one, making it a special kind of ratio that is easily comparable across different scenarios.

Using unit scales is similar in concept to unit rates, but involves comparing two measurements where none necessarily equals one. For example, a unit scale on a map may be represented as 1 inch = 100 feet, showing the ratio of the size of the map to the actual size of the territory covered.

Understanding unit rates is also essential for dimensional analysis in science and unit conversions. Dimensional analysis is a process used in physics to ensure that the units in calculations cancel out or match up properly, indicating correct use of units in formulas and computations.

Someone please help :)

Answers

Answer:

6d²+5cd-3dc+8

Step-by-step explanation:

So by combining like terms you need to have the same letters t the same powers in order to combine them

For the first one from 6d²+5cd-3dc+8 you can combine the 5cd and -3dc because they have like terms whereas all the other ones cant combine like 7d²-3c²+6d-c there aren't aren't terms that are to the same power and letter

shade in circles and write equivalent fractions 3/6​

Answers

Answer:

A fraction that would be equivalent to 3/6 would be 1/2, therefore a shaded circle would be half of a circle.

Step-by-step explanation:

Look at the picture.

Divide the circle to six congruent pieces. Shade three pieces.

Equivelent fractions:

[tex]\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\\\\dfrac{3}{6}=\dfrac{3\cdot2}{6\cdot2}=\dfrac{6}{12}\\\\\dfrac{3}{6}=\dfrac{1}{2}=\dfrac{1\cdot2}{2\cdot2}=\dfrac{2}{4}\\\vdots[/tex]

Which monomials are divisible by -12?
A. 12a^5
B. -18b^3
C. None of the above

Answers

A. 12a^5 is the answer

F(x)=9x3+2x2-5x+4amd g(x) =5x3-7+4

Answers

f(×)=9×3+2×2 -5×+4

g(×)=5×3-7+4

f(×)-g(×)

(9×3+2×2-5×+4)-(5×+4)-(5×3-7×+4)

9×3+2×2-5×+4-5×3+7-4

(9×3-5×3)+2×2+(7×-5×)+(4-4)

4×3+2×2+2×

=2×*(2×2+×+1)

Answer:

-4.5

Step-by-step explanation:

Which is not enough given information needed to solve a right triangle?

A) two acute angles and one side length

B) measure of the hypotenuse

C)two side lengths

D)one side length and the measure of one acute angle

Answers

A right-angled triangle is a triangle having one of its angles with a measure of 90°. The correct option is B.

What is a right-angled triangle?

A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

From the given options the information that is not enough to solve a right triangle is the measure of the hypotenuse.

Learn more about the Right-Angled Triangle:

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54% of what number is 162

Answers

87.48

50% 81

4% 6.48

82+6.48=87.48

whats the measure of ABC? a.120 b.75 c.60 d.45

Answers

Im confused is there a picture i can see to answer the question please.

Answer:

the answer is 60 degrees

Please help somehow with graphing, I'm very very confused!

Answers

Ok, so first, the y-intercept is always the last number. So the y-intercept for the first equation would be -1, and for the second equation, 4.

Put a dot, or a point on -1and 4 on the graph.

The slope is always he number with an x.

So the slope would be 3 for the first equation.

And the slope for the 2nd equation would be -2.

If the slope doesn't have a denominator, put 1 as it's denominator.

So, 3x would turn into

[tex] \frac{3x}{1} [/tex]

And -2x would turn into

[tex] \frac{ - 2x}{1} [/tex]

So the rule for slope is:

[tex] \frac{rise}{run} [/tex]

So, go to your -1, and go up 3 and 1 right. Keep doing that until you reach the end of the graph.

Now, go to your -4, go down 2 and go left 1. Keep doing that until you reach the end of the graph.

Now, draw the lines.

I'll show on piece of paper how to do this if you dont get the explanation I gave.

what is the area of a square when the side length is 2/3cm

Answers

[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=\frac{2}{3} \end{cases}\implies A=\left( \cfrac{2}{3} \right)^2\implies A=\cfrac{2^2}{3^2}\implies A=\cfrac{4}{9}[/tex]


16)
If a parachutist jumped from an airplane flying at an altitude of 10,000 feet and fell at an average free fall speed of 158 feet per second for 17 seconds, what impact will it have on the altitude of the parachutist?
A) -2,686 feet
B) -2,669 feet
C) 2,669 feet
D) 2,686 feet

Answers

I think the answer is D

Answer:

The answer is A

Step-by-step explanation:

First multiply 158 by 17 and you get 2,686 and since your falling it will be going down making it a negative

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