Determine the value of x. Assume the segments that appear tangent
are tangent

Determine The Value Of X. Assume The Segments That Appear Tangentare Tangent

Answers

Answer 1

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Segment lengths of each chord have the same product.

  (x -2)(x +6) = 9×20

  x² +4x -12 = 180

  x² +4x +4 = 196 . . . . . add 16 (complete the square)

  (x +2)² = 14²

  x +2 = 14 . . . . . . . . . . . positive root is the only one useful

  x = 12


Related Questions

Kira ,Charlie , and Miguel have a total of $105 in their wallets . Kira has $9 less than Miguel. Charlie has 4 times what Miguel has . How much does each have ?

Answers

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore, Money with Kira = $10Money with Charlie = $76Money with Miguel = $19

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Graph the points:
(-1, -2); (0 -1), (1, 0)

• What is the fourth point?

HELP PLZZ I'm abouta fail this grade and I cant ​

Answers

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

-2y+6=-12
What does y equal?

Answers

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

what are the coefficients in the expression 4x+y+6z+12

Answers

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets

Answers

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

Learn more about the ratio visit:

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The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.

Answers

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

I need help on these two questions please

Answers

Answer:

For #1=     D = 24.25     #2=       D= 21

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

Please tell me the answers i am confused and need help

Answers

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

HELP I WILL GIVE BRAINLIEST

Solve for x.

7x + 14 – 2x = −x + 12 – x − 19
A. x = −3
B. x = −1
C. x = 1
D. x = 3

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds

Answers

Answer:

I think the answer is 2.3

Suppose () = 46%; ( and ) = 10%; and ( or ) = 62% Find (Not ). Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

3x-2y=12 and 3x+5y=33

Answers

Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

--------------

-3x+2y=-12

3x+5y=33

-------------------

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

please help me on this will give you brainliest!!

Answers

Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

Solve the simulataneous equations. 5x-4y=19 x+2y=8

Answers

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

A coin collection contains d dimes and q quarters worth a total of $50.

Which equation models this information?

d + q = 50

10d + 25q = 50

0.1d + 0.25q = 50

0.01d + 0.25q = 50

Answers

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

Which of the following is a solution of x2 + 4x + 6? (1 point)

Answers

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

The point Q(4, 2) is translated 8 units left and 7 units down. What are the coordinates of
the resulting point,

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

What is the value of the missing angle ?

Answers

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

could you help me with the 2 questions plz

Answers

Answer:

2. 64

3. 2

Step-by-step explanation:

Juan thinks that the graph of 6y + 12x = 4 is a line. a. Solve Juan’s equation for y.

Answers

The lines slope is negative 2 so it would be y=-2x+4/6

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Juan thinks that the graph of 6y + 12x = 4 is a line.

Solve the equation of the line for y, then we have

6y + 12x = 4

6y = 4 - 12x

y = 4/6 - (12/6)x

y = 2/3 - 2x

The equation of the line in the slope-intercept form will be y = 2/3 - 2x.

More about the linear equation link is given below.

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The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer​

Answers

Answer:

The estimated sales were $260 million

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]

[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]

The estimated sales were $260 million

Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3

Answers

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

VW = WX = YW = ZX = VX = view image attached thank youuu!

Answers

Answer:

assuming this is a rectangle:

VW=31

WX=19

YW=36.36

ZX=18.18

VX=36.36

Step-by-step explanation:

VW=VX

VW=31

WX=VX

WX=19

YW^2=19^2+31^2

YW^2=361+961

YW^2=1322

YW=36.36

ZX=1/2VX

ZX=18.18

VX=YW

VX=36.36

The measures of the rectangle are

a) The measure of VW = 31

b) The measure of WX = 19

c) The measure of YW = 36.36

d) The measure of ZX = 18.18

e) The measure of VZ = 18.18

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as VWXY

Now , the diagonals of the rectangle are VX and WY

Substituting the values in the equation , we get

The measure of VY = 19

The measure of XY = 31

Now , for a rectangle the opposite sides are congruent

So , the measure of VY = measure of WX

And , the measure of XY = measure of VW

On simplifying the equation , we get

The measure of WX = 19

The measure of VW = 31

And , the diagonal of the rectangle = √ ( Length )² + ( Width )²

Substituting the values in the equation , we get

The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²

The diagonal of the rectangle YW = √ ( 961 + 361 )

The diagonal of the rectangle YW = 36.359 ≈ 36.36

And , the measure of VX = measure of YW = 36.36

Now , the measure of ZX = measure of VZ = measure of VX / 2

So , the measure of ZX and VZ = 36.36 / 2 = 18.18

Hence , the diagonal of the rectangles is 36.36

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In one hour a machine can make
500 nuts
or
840 bolts.
At 2 pm the machine starts working.
It makes 750 nuts and then changes to making bolts.
How many bolts will the machine make by 8.00 pm?

Answers

Answer:

3780 bolts will be made by 8pm

Step-by-step explanation:

One Hour : 500 nuts or 840 bolts

Divide by 2

30 minutes : 250 nuts or 420 bolts

750 nuts : 500 + 250 = 750

so the machine took 1 hour and 30minutes

14:00 it started (2pm)

15:30 it switched to bolts

20:00 (8pm)

4 hours and 30minutes to get to 8pm

840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?

12 hours
12 3/4 hours
6 hours
13 1/2 hours

Answers

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

For more information about ratios and proportions,

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Please help. i not smart

Answers

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Find the value of: 0.0279 divided by 0.00009

Answers

Answer:

310 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

0.00000002

Step-by-step explanation:

What is the Y intercept of y=3-4x?​

Answers

Answer:

13

Step-by-step explanation:

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