What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Since UV is a tangent then ∠ WUV = 90°

WZ = WU = x - 1 ( both radii of the circle ) , then

WV = x - 1 + 2 = x + 1

Using Pythagoras' identity in the right triangle

WU² + UV² = WV² , that is

(x - 1)² + (2x - 4)² = (x + 1)² ← expand factors using FOIL

x² - 2x + 1 + 4x² - 16x + 16 = x² + 2x + 1

5x² - 18x + 17 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

4x² - 20x + 16 = 0 ← divide through by 4

x² - 5x + 4 = 0

(x - 1)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

But x ≠ 1 as radius x - 1 = 0

Thus x = 4 → B


Related Questions

1. During an average month, 11,000 babies are born in Pennsylvania. I wonder about the probability that during April 2021 the number of babies born in Pennsylvania will be 10% higher than average. What sort of probability distribution should I use to address that question?

Answers

Answer:

3.444

Step-by-step explanation:

3.444

I need help btw i am in middle school

Answers

I think the answer is 11

brainliest, please help, The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10). Find the equation of the line that passes through P and is perpendicular to PQ. Give your answer in the form y = mx + c.

Answers

The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).

We need to find the equation of the line that passes through P.

What is the condition of slope for perpendicular lines?

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.

Here, the slope of the equation is 3.

The equation of the line that passes through P and is perpendicular to PQ is -1/3.

Now, 10=-1/3(6)+c

⇒c=12

Thus, y=-1/3x+12

Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.

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Please help Expand 3(y+2)

Answers

Answer:

3y + 6

Step-by-step explanation:

3 x y = 3y

3 x 2 = 6

3y + 6

Write down the following equation in the general form:
y= - 3 over 4 then x then + 2 over 5

Answers

Y= -4/5 + 2/5, Y= -2/5

how many powers with an exponent of 2 are there between 1 and 100?

Answers

the answer should be 100, the tables just keep going til 100

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

What is Number system?

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

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PLEASE HELP ME ASAP!!!!!


Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain

Answers

Answer:

Can you show me the pattern?

Can I see the pattern

Can anyone help me with this math question

Answers

Answer: C.

Step-by-step explanation: if you add 25.50 to every number it makes sense, since the decimal went from .25 to .75.

The answer is B because if you divide 38.25 by 3 you will get 12.75 and when you multiply it by 5 you'll get 63.75. This then prover that it is 12.75.

There are 4 blocks in the bag. How many of the 4 blocks do you think are red (R)? The graph shows the results of the first 10 picks.​

Answers

3 blue one red good luck

Answer: 1 Red Block

Step-by-step explanation:

2:8 is the existing ratio shown in the graph. And so I think if we divide both sides by 2 we get 1:4 which is what we want. So we take the 1 part which is red. 1 Red Block.

Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?

Answers

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

What is logarithm?

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

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in the sale a price of a shirt is decrease by £3 what was the original price of the shirt​

Answers

Answer:

Step-by-step explanation:

Let the price of the shirt after discount = y

Reduction = £3

Original price= y + 3

I need help with this question

Answers

Answer:

8 or 9^8

Step-by-step explanation:

You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.

hii im sorry to be a burden but could someone please help me with this problem it has to do with the pythagorean theorem :p

Answers

Answer:

Step-by-step explanation:

10 inches

Answer:

68.5 inches

Step-by-step explanation:

The pythagorean theorem is a^2+b^2 = c^2

In this case, a = 60, b = 33, and we are looking for c, so this is how you do it:

60^2 + 33^2 = 3600 + 1089 = 4689

sqrt(4689) = 68.47627326...

Rounded to the nearest tenth is 68.5!

plz help me due today help me

Answers

Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

Answer: 7.7%

Step-by-step explanation:

1. 352 - 325 = 27. This is how many students left.

2. x/100 = 27/352 is the equation.

3. Solve for x: 2700/352 = x = 7.6704

This rounded to the nearest tenth is 7.7%


An architect is making a plan for a new circular playground. If the picture below is the
playground, how much fencing needs to go up to
keep the kids in the circle?

Answers

Answer:

201ft

Step-by-step explanation:

The circumference of a circle is equal to

C=piD

d=64ft

substitute:

c=pi(64)=64pift ft

assume pi=3.14

64pi=64*3.14=200.96ft

round to the nearest whole number:

200.96=201ft

another explanation:

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                   = 64π

                                                   = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

200.96 meters of fencing needs to go up to keep the kids in the circle. Therefore, option D is the correct answer.

What is circumference of a circle?

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Given that, diameter of a circle is 64 meter.

Here, the radius = 64/2

= 32 meter

We know that, the circumference of a circle can be calculated using 2πr.

Now, circumference = 2×3.14×32

= 200.96 meters

Therefore, option D is the correct answer.

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Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost
$2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy?

Answers

Answer:C

Step-by-step explanation:

Leo bought 4 large coffees.

Answer:

its: C

Step-by-step explanation:

Omgg someone help me with this ASAP

Answers

Answer:

1) associative property addition

2) The Distributive Property

3) associative property multiplication

4) Commutative property of multiplication

5) associative property addition

I hope this helps a little bit.

PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!

Answers

Answer:

ummm ummm i dont know

Step-by-step explanation:

Answer:

B (-5,5)

Step-by-step explanation:

-12+a/2=-6

-7+a=-12

a=-12+7

a=-5

-3+b/2=1

-3+b=2

b=2+3

b=5

Lee surveyed the 472 employees at the company with over a decade of experience.
Is this sample of the employees at the company likely to be biased?
yes / no

Answers

Answer:

Yes, it is

Step-by-step explanation:

It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?

Which mathematical term can be defined precisely?
point
line
distance
circle
ASAP

Answers

Answer:

I think it is option A

point

hope it helps

Answer:

point

Step-by-step explanation:

a
Play 3)
What is the mean of the data set?
8, 16, 9, 11

Answers

The answer is 11 when you add everything up it makes 44 divided by how many numbers there are so 44/4=11

Answer:

Well, you would need to divide 44 by the numbers you have so 44/4=11

what is the slope of 4x + 9y = -9

Answers

Answer: The picture is the answer to your question

In the figure below, L || m. Find x.

Answers

I think it’s 13 not sure tho(put a degree symbol on 13)

BRAINLESS.... for the following proportion, find the missing quantity represented by the letter.

Answers

Answer:

n=56 is the correct answer

3×14=42 so,

4×14=56

:)

Does anyone know how to do This? I don’t get it

Answers

So if you understand side side angle and side side side and the others you will be able to solve it as if it was the privious lesson I know this hadn’t helped much but change the way you look at it

Answer:

jsjjsjejehehhejejejejejejejejjejrjejrjr

6 ) hey pls help me with his I have the answers all I need is to show the work

Consider angle B in the diagram below . What is the length of “opposite side” to angle B?

Answer: a

Answers

Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

looooooook below
GIVING BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

Answer:

your answer will be B).60cm

Step-by-step explanation:

have a nice day ^_^


PLEASE HELP ASAP, MARKING BRAINLIEST!!!

A walking path around the outside of the garden is shaped like a triangle. Two sides of the past that measure 32 ft and 39 feet form a 70 degree angle. If you walk around the entire path one time, how far have you walked?

Answers

You would walk 111.126 feet

how do you solve for quadrilaterals and their properties?

Answers

Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°

17. Sebuah kaleng berbentuk tabung memiliki
diameter alas 20 cm. Jika volume udara
di dalam kaleng 1.570 cm³, maka tinggi
kaleng tersebut adalah ... cm.
a. 5
b. 10
c. 12
d. 15​

Answers

Jawab:

A

Penjelasan dengan langkah-langkah:

jari jari : 10 cm

t = 1570/3,14 x 102

t = 5 cm

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