Find the value if x and simplify completely

Find The Value If X And Simplify Completely

Answers

Answer 1

Answer:

[tex] x = 9 \sqrt{10} [/tex]

Step-by-step explanation:

By Geometric mean property:

[tex]y = \sqrt{3 \times 27} \\ = \sqrt{81} \\ y = 9 \\ by \: pythagors \: theorem : \\ x = \sqrt{ {27}^{2} + {9}^{2} } \\ = \sqrt{(9 \times 3)^{2} + {9}^{2} } \\ = \sqrt{ {9}^{2} \times {3}^{2} + { {9}^{2} } } \\ = \sqrt{ {9}^{2} ( {3}^{2} + 1)} \\ = 9 \sqrt{9 + 1} \\ x = 9 \sqrt{10} [/tex]


Related Questions

Maria spent 19 days traveling in South America how many hours did she spent traveling in South America

Answers

Answer:

456 hours

Step-by-step explanation:

19x24

In a sample of 10 cabinets, the average height was found to be 37.3in. with a standard deviation of 3.



Give a point estimate for the population variance of the height of the cabinets. Round your answer to two decimal places, if necessary.

Answers

Answer:

[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]

Step-by-step explanation:

For this case we have a sample of n =10 and we have the following statistics:

[tex]\bar X = 37.3 , s= 3[/tex]

And we want to estimate the population variance. We need to remember that the population variance is given by this formula:

[tex]\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}[/tex]

And the sample variance is given by:

[tex] s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And we can find a formula for the population variance in terms of the sample deviation like this:

[tex] \sigma^2 = s^2 \frac{n-1}{n}[/tex]

And replacing we got:

[tex] \sigma^2 = 3^2 \frac{10-1}{10}= 8.10[/tex]

Point E is located at coordinates (-7, -5) Point F is located at coordinates (-2, 7). What is the length of EF?
Please hurry

Answers

Answer:

12 units?

Step-by-step explanation:

The answer is 17 units

What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction

Answers

Answer:

-37/6

Step-by-step explanation:

Answer:

A -37/6

Step-by-step explanation:


Find the surface area of the cone. Use 3.14 for pi and round to the nearest 10th. Diameter is 6ft and height is 7.6ft.​

Answers

Answer:

105.2 ft²

Step-by-step explanation:

The diameter of the base of the cone is 6 ft which means its radius is:

r = d / 2 = 6 / 2 = 3 ft

Its height, h, is 7.6 ft.

The surface area of a cone is given as:

A = pi * r(r + √(h² + r²))

Therefore:

A = pi * 3(3 + √(7.6² + 3²))

A = pi * 3(3 + √(57.76 + 9))

A = pi * 3(3 + √(66.76))

A = 9.42(3 + 8.17)

A = 9.42 * 11.17 = 105.2214 ft²

Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².

Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days

Answers

Answer:

The answer is 11.75

Step-by-step explanation:

All youre gonna do is add up all of the chapters she read which would end up giving you 11.75 therefore that is the answer:)

Answer:

11.75

Step-by-step explanation:

If you add the whole numbers first it's 11 and then you add the decimals .5 is also .50. so .50+.25=.75

help please .. don’t understand

Answers

Answer:

sinx = p/h , cosx = b/h , tanx = p/b

you can use these relations

Step-by-step explanation:

p = perpendicular = side opposite to the angle

h  = hypotenuse = side opposite to the right angle

b= base

if no angles are given, p and b can be interchanged

tangent is the opposite side or angle divided by the adjacent side or angle.

#1 35/12
so tanX equals 35/12

please help For each set of distances below, decide if the three points are collinear or form a triangle, or are impossible.

2. AB = 12, BC = 5, AC = 13 *

20 points

impossible

form triangle

collinear

3. AB = 11, BC = 3, AC = 7 *

20 points

impossible

form triangle

collinear

4. AB = 5, BC = 6, AC = 2 *

20 points

impossible

form triangle

collinear

5. AB = 8, BC = 1, AC = 9 *

20 points

impossible

form triangle

collinear

Answers

form triangle

In order for the points to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 6 = 11 > 2, 5 + 2 = 7 > 6, and 6 + 2 = 8 > 5. Therefore, the points form a triangle.

Which of the following numbers can be expressed as a decimal that terminates? 3/2, 2/3, 3/4, 5/7

Answers

Answer:

3/2 and 3/4 are terminating decimals

Step-by-step explanation:

Terminating decimals are those whose decimals end.

3/2 = 1 .5

2/3 = .6666repeating

3/4 = .75

5/7 =.714285repeating

Answer:

3/2 and 3/4

Step-by-step explanation:

3/2=1.5

2/3= .6666...

3/4=.75

5/7=.7142...

So the only ones that terminate are 3/2 and 3/4

Will the area and perimeter be the same for a 12 by 12 square?

Pls explain why or why not

Answers

Answer:

No.

Step-by-step explanation:

For area you will multiply 12x12=144.

For the perimeter you will add 12+12=24

I hope this helps!

If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in
a month and 9 months in a school year, how many hours are there in a school
year?

hours in a school year​

Answers

Answer:

40,516 hours

Step-by-step explanation:

.

Answer:

1,080

Multiply all of the numbers together

Explain what is pi and how many number it has

Answers

Answer:3.14

Step-by-step explanation: It has inf numbers it never ends

Find the slope of the line between these 2 points.

(6, −12), (15, −3)

Answers

Answer:

1

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

    = (-3 -  -12)/(15-6)

   = (-3+12)/(15-6)

    = 9/9

   = 1

Below is the graph of a trigonometric function. It intersects its midline at (-1/2pi,3.3), and it has a
maximum point at (-2pi,9.8).
What is the amplitude of the function? Please show me how to do it too so I can do the rest of the problems

Answers

Answer: amplitude = 6.5

Step-by-step explanation:

The amplitude of a function is the maximum displacement from the from a fixed point or from the origin.

From the graph, you take the initial position of the object from the broken red line which is equal to 3.3 at the Y axis.

The peak or the maximum value = 9.8

Amplitude = 9.8 - 3.3 = 6.5

The maximum displacement is at Y axis

Which scatter plot would have a trend line with a negative y-intercept?

Answers

Answer:

B

Step-by-step explanation:

What is an equation of the line that passes through the points (2,-6) and (1,-1)

Answers

Answer:

x=1

Step-by-step explanation:

Btw you should put answer choices :)

please help me understand and explain why it is that please​

Answers

Search it up on google and it should come out

Which is equivalent to 8.03 X 10^-8

Answers

Answer:

0.00000008

Step-by-step explanation:

Final answer:

The given value is 8.03 X 10^-8, which is already in scientific notation. None of the provided alternatives exactly match the given value. The closest number to the given value is 9.71 X 10^-8.

Explanation:

The given value is 8.03 X 10^-8. This is already in scientific notation, where a number is represented as a decimal number between 1.0 and 10.0, multiplied by a power of 10. Therefore, it is equivalent to itself. If you would look for the equivalent among the options you have, none of them would match exactly the given value. The number that comes closest to your value from those given is 9.71 X 10^-8, but remember, these two are not exactly the same.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

#SPJ2

The length of a rectangle is (X + 8) and the width is (x - 3). Find the dimensions of the rectangle if the area is 42 square inches.

Answers

Answer:

Length = 14 inches

Width = 3 inches

Step-by-step explanation:

length * width = area

(x + 8 ) (x - 3) = 42

Use FOIL method

x*x  - x*3 + 8*x - 8*3 = 42

x² -3x + 8x - 24 = 42

x² + 5x - 24 - 42 = 0

x² + 5x - 66 = 0

Sum = 5

Product  = 66

Factors = 11 , (-6)

x²  + 5x -66 = 0

x² + 11x - 6x - 6*11 =0

x(x + 11) - 6(x + 11) = 0

(x + 11) (x -6) = 0

x + 11 is ignored because length and width will not have negative value.

x - 6 = 0

x = 6

Length = x + 8 = 6 + 8 = 14 inches

Width = x - 3 = 6 - 3 = 3 inches

In the above triangle, which angle has the largest measure?

Answers

Answer:

Angle A

Step-by-step explanation:

Angle A is the opposite angle to the longest side of the triangle.

Because the angle is larger, the side opposite of it should be long enough to connect to the two other sides.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Solve the equation.
5u - 10 = 70

Answers

Answer:

u = 16

Step-by-step explanation:

5u - 10 = 70

Add 10 to each side

5u -10 +10 = 70+10

5u = 80

Divide each side by 5

5u/5 = 80/5

u = 16

U=16 I hope this was helpful

12 Explain A bag includes one number card each for the numbers 1-25. Each of
25 students randomly selects a number card from the bag. Carrie says that if the number
is the input and the student is the output, the relationship is a function. Mario says that if
the student is the input and the number is the output, the relationship is a function. Who
is correct? Why?​

Answers

Answer:

Let us say the domain in the first case, has the numbers. And the co-domain has the students, .

Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.

The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.

Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!

NEED ASAP!
Consider the following graph of an absolute value function.

a) rewrite the function as a piecewise function

b) which of the following absolute value functions represents the graph?
f(x)= |x+2| -1 or f(x)= |x+1| -2

c) describe the relationship between the absolute value function and the vertex of the graph

d) what is the line of symmetry of the graph?

Answers

The absolute value function can be expressed as a piecewise function. The correct absolute value function that represents the given graph is f(x) = |x + 2| - 1. The vertex of the graph is (-2, -1) and the line of symmetry is x = 2.

a) Rewrite the function as a piecewise function: The absolute value function can be expressed as a piecewise function by considering the different intervals where the expression inside the absolute value changes its sign. In this case, the function may be written as:
[tex]f(x) = \begin{cases} -(x + 2) - 1, & \text{if } x \leq -2 \\ (x + 2) - 1, & \text{if } x > -2 \end{cases}[/tex]

b) Which of the following absolute value functions represents the graph: To determine which of the given options matches the graph, we compare the expressions inside the absolute values with the piecewise function from part (a). In this case, the correct match is f(x) = |x + 2| - 1.

c) Describe the relationship between the absolute value function and the vertex of the graph: The vertex of the absolute value function f(x) = |x + h| + k is (-h, k). In this case, the vertex is (-2, -1). This means that the graph has been shifted two units to the left and one unit down.

d) What is the line of symmetry of the graph: The line of symmetry for an absolute value function of the form f(x) = |x + h| + k is the vertical line x = -h. In this case, the line of symmetry is x = -(-2) = 2. The graph is symmetric with respect to the line x = 2.

________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

lengths of consecutive sides are not equal
slopes of opposite sides are equal
lengths of opposite sides are equal
slopes of consecutive sides are not equal

Answers

clengths of opposite sides are equal

Answer:

the third option, lengths of opposite sides are equal.

Step-by-step explanation:

for edg users I just took the test.

Help me please again :))

Answers

Answer:

x= 15

Step-by-step explanation:

85 and 6x+5 form a straight line.

They sum to 180

85+ 6x+5 = 180

Combine like terms

90 +6x = 180

Subtract 90 from each side

90+6x-90 = 180-90

6x = 90

Divide each side by 6

6x/6 = 90/6

x =15

Answer: x = 15

Step-by-step explanation: since it's a straight line so it's 180 degrees

so 6x + 5 = 95

6x = 90

x = 15

Kendrick brought a 5 kilogram can of peanuts for $8.75. What is the unit price?

Answers

Answer:

$1.75 per can of peanuts

Step-by-step explanation:

$8.75/5=$1.75

triangle feg is similar to ihj. what is the value of h

Answers

Answer:

what i dont get what ur trying to say

Step-by-step explanation:                                                                    

suppose the point (3,1) satisfies the function f(×). what point would satisfy g(x)=-2f(x/2)+1?​

Answers

Answer: (6, -1)

Step-by-step explanation:

Given that point (3,1) satisfies the function f(×).  From the equation

g(x)=-2f(x/2)+1

x/2 = 3

x = 6

Substitute the 1 for f(x/2)

g(x) = -2(1)+1

g(x) = -2 + 1 = -1

The point that would satisfy g(x)=-2f(x/2)+1 is (6, -1)

Which expression is equivalent to (2 + 3) + 5?

A) 2 + (3 + 5) B) 2(3 + 5). C) 2 + 15 D) 6 + 5
I NEED QUICK PLS THANK YOU FOR THE ANSWER IF YOU GIVE ME IT PLS

Answers

Answer:

The answer is A.

Step-by-step explanation:

This is Associative Law, a + (b+c) = (a+b) + c .

what is the area of the square units

Answers

Answer:

Step-by-step explanation:

area of square=5×5=25 u²

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