If f(x) = 3x³ + 5x² - 4, then what is the remainder when f(x) is divided by
x-1?

Answers

Answer 1
After using a process called synthetic division the answer is shown below resulting in remainder of (4) OR remainder of (4/x-1) depending on your teacher
If F(x) = 3x + 5x - 4, Then What Is The Remainder When F(x) Is Divided Byx-1?

Related Questions

6(x−2)=−18

due today

Answers

Answer: -1

Step-by-step explanation: 6x-12=-18

                                                 +12= +12

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

                                                     -6/6=-1

write the expression as a sum and/or difference of logarithms. express exponents as factors.log5 a3 b

Answers

Expression of logarithms is log₅a³b = 3log₅a + log₅b.

Given expression is log₅a³b.

We have to express given expression as a sum or difference of logarithms.

We know the logarithmic formulas which is,

logₐ(PQ) = logₐP + logₐQ

logₐ([tex]P^{Q}[/tex]) = QlogₐP

we will use above formulas and solve the given equation.

log₅a³b = log₅a³ + log₅b

log₅a³b = 3log₅a + log₅b

Logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions ans solve logarithmic equation.

The product property states that to miltiply two powers that have the same base, add the exponents.

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For the holidays, Kenji is driving to visit his grandparents who live 402 miles away. Kenji's car
gets 33.5 miles per gallon of gas when he is driving on the highway. In order to budget for
his trip, Kenji wants to know how much gas he will need.
Use an equation to find how much gas Kenji needs for the drive.
Kenji needs
gallons of gas.

Answers

By solving a linear equation, it can be calculated that-

Kenji needs 12 gallons of gas for the drive

What is a linear equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let Kenji requires x gallons of gas

Kenji's car gets 33.5 miles per gallon of gas when he is driving on the highway.

Kenji can travel 33.5x miles with x gallons of gas

Distance to be travelled = 402 miles

By the problem,

The required linear equation is

33.5x = 402

x = [tex]\frac{402}{33.5}[/tex]

x = 12 gallons

Kenji needs 12 gallons of gas for the drive

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If the nth term of a number sequence is n^2 + 2n,
find the first 3 terms and the 10th term.

Answers

Answer:

3, 8, 15 and 120

Step-by-step explanation:

to find the first 3 terms, substitute n = 1, 2, 3 into the nth term rule

n = 1 : 1² + 2(1) = 1 + 2 = 3

n = 2 : 2² + 2(2) = 4 + 4 = 8

n = 3 : 3² + 2(3) = 9 + 6 = 15

the first 3 terms are 3, 8, 15

to find the 10th term , substitute n = 10 into the rule

n = 10 : 10² + 2(10) = 100 + 20 = 120

compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. (4 points)compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. (4 points)

Answers

The slope of a function is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.

m = Δy/Δx

∆y --> net change in the y coordinate

∆x ---> net change in x coordinate

m ---> slope of fution

The y-intercept of both functions 'f' and 'g' are equal and slope of f(x) is less than the slope of g(x). So, the correct option is option (A).

We have given a function, g (x) = 2x + 1

comparing the g(x) with standard equation

y = mx + b

where m is slope of this line

b --> y-intercept

Thus we get m = 2 , b= 1 . So, the slope of g(x) is 2 and y-intersecpt is 1 .

Now, we have a table for function f(x) that is function f(x) passing through all points as given in table. The slope of function passing through (h,k) and (a,b) is expressed as (k-b)/(h-a)

Thus, slope of function 'f' passing through (0,1) and (2,4) = (1-4)/(0-2) = -3/-2

= 3/2

=> f (x) = (3/2)x + b

where , b --> y-intercept

plug the value x= 4 and corresponding to it

f(x) = 7 we get , 7 = 3/2× 4 + b

=> b = 7-6 = 1

Therefore, slope of function g(x) is greater than slope of function f(x) and y-intercept of f(x) is equal to y-intercept g(x) .

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Complete question:

The Table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts and the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

x / f(x)

0/1

2/4

4/7

g(x)= 2x+1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

D. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

a keypad at the entrance of a building has 10 buttons labeled 0 through 9. what is the probability of a person correctly guessing 8 digit entry​ code

Answers

The probability is it that someone will correctly guess an 8-digit entry code is 0.022.

Given that,

A keypad with 10 buttons marked 0 through 9 is located at the building's entrance.

We have to find how much probability is it that someone will correctly guess an 8-digit entry code.

We know that,

Probability is defined as the ratio of the number of required outcomes to the total number of outcomes.

Based on the details provided;

One outcome is expected if the needed number of outcomes is 8-digits.

Since there are 10 numbers and 8 numbers need to be chosen, the total number of outcomes is ¹⁰C₈.

Considering that the lock can only be opened by 8 digits;

The probability that someone will properly guess a 8-digit input code is

P=1/¹⁰C₈

P=1/10!/8!2!

P=1/10×9/2

P=1/45

P=0.022

Therefore, The probability is it that someone will correctly guess an 8-digit entry code is 0.022.

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One angle of a triangle measures 75°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

Answers

well, since a triangle has a total of 180° interior angles, that means 180 - 75 = 105 is leftover for the other two remaining angles.

now, they're in a 2 : 5 ratio, well, let's simply divide 105° by (2 + 5) and distribute accordingly.

[tex]2~~ : ~~5\implies 2\cdot \frac{105}{2+5}~~ : ~~5\cdot \frac{105}{2+5}\implies 2\cdot 15~~ : ~~5\cdot 15\implies \text{\LARGE 30~~ : ~~75 }[/tex]

Dubai, United Arab Emirates set a record temperature for 49 ° C What does the number 49 mean

Answers

Answer: It means that the high in Dubai is 49

Step-by-step explanation: When saying about the weather, we always say the highest temperature first, so that mean 49 here is the high temperature in Dubai.

If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

The mercury is expected to cross the 49°C mark again later today.

Complete the statement by filling in the blank. When constructing a confidence interval, if the level of confidence increases the margin of error will and the confidence interval will be A larger sample size will improve the accuracy of the confidence interval, therefore margin of error will and the confidence interval will be A) Decrease, wider. Increase, narrower B) Decrease, narrower. Increase, wider C) Increase, wider. Decrease, narrower. D) Increase, narrower. Decrease, wider.

Answers

Option-C is correct that is increase, wider. If the level of confidence rises when generating a confidence interval, the margin of error must increase and the confidence interval will get wider.

Given that,

By completing the blanks, the sentence is complete. When generating a confidence interval, the margin of error and the confidence interval will be larger if the level of confidence grows.

We have to find the accuracy of the confidence interval will increase with a larger sample size, so the margin of error and the confidence interval will be-----.

We know that,

If the level of confidence rises when generating a confidence interval, the margin of error must increase and the confidence interval will get wider.

The margin of error is a phrase that conveys how much sampling error there is in the data that was gathered or in the parameter estimates. Accordingly, the credibility of the poll will decrease as the margin of error increases. It displays the degree of estimation accuracy.

Three things determine the margin of error:

Confidence level: The margin of error grows in proportion to the level of confidence.

Sample size: The margin of error gets smaller as the size of the random sample gets bigger.

Population standard deviation: The population's standard deviation is: For a given level of confidence, our interval will be wider the more dispersed the population is.

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Which graph shows y=2⌈x⌉−3 ???

Answers

Answer: the first 1

Step-by-step explanation:

i just did it hope it helps

based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. suppose that in a random sample of 144 applicants for this position, 63 are found to be qualified. do the sample data support the manager's belief? test the relevant hypotheses using a

Answers

The no. of people qualified is less than the  managers belief of 0.265

What is P-value?

The likelihood of receiving outcomes from a statistical hypothesis test that are at least as severe as the actual results provided the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.

P-value is frequently utilised by government organisations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.

Here [tex]H_{0}[/tex] - P =1/3=0.3333

Hi - P <0.3333

Given n =144

x = 63

P^=63/144=0.4375

Test Static = [tex]\frac{P^-P}{\sqrt{\frac{PQ}{n} } }[/tex]

= [tex]\frac{0.4375^-0.3333}{\sqrt{\frac{0.3333-(1-0.3333)}{144} } }[/tex]

=0.265

P-value =P(Z<2.65)=0.9960, Given [tex]\alpha[/tex] =0.05

here P-Value >[tex]\alpha[/tex]

So, don't reject  [tex]H_{0}[/tex]

There is no evidence to support the manager's Belief That less Than 1/3 of Applications are qualified

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Nancy i making acceorie for the occer team. She ue 566. 28 inche of fabric on headband for 36 player and 3 coache. She alo ue 306. 36 inche of fabric on writband for jut the player. How much fabric wa ued on a headband and writband for each player?

Answers

Using some mathematical operations, we know that each player's headband and wristband are made from 16.18 inches of fabric and 8.63 inches of fabric.

What are mathematical operations?

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are collectively referred to as PEMDAS.

So, given that we've done it:

There are 35 players.

There are two coaches.

The cloth on the headbands measures 598.66 inches in length.

Just for the players, the wristbands include 302.05 inches of fabric.

Each player's headband's fabric length is specified by:

= Total inches/Total number of persons

= 598.66/37

= 16.18 inches

Each player's wristband's fabric length is specified by:

= Total inches/Number of persons

= 302.05/35

= 8.63 inches


Therefore, using some mathematical operations, we know that each player's headband and wristband are made from 16.18 inches of fabric and 8.63 inches of fabric.

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Complete question:

Nancy is making accessories for the soccer team. She uses 598.66 inches of fabric on headbands for 35 players and 2 coaches. She also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Which additional piece of information would show that quadrilateral WXYZ is a rhombus?

Answers

The additional piece of information that is needed to show that the quadrilateral is a rhombus is given as follows:

The angle measures.

What is a rhombus?

A rhombus is a quadrilateral, and is a special case of a parallelogram.

For the parallelogram to represent a rhombus, these following conditions need to be respected:

Parallelism of opposite sides.Congruence of opposite angles -> Same measures.All the sides are equal in length.The bisection of diagonals happen at right angles.

To verify if two sides are parallel, we need to verify their slopes, which are dependent on their angle measures. Hence these angle measures are the missing piece of information to define if the quadrilateral is a rhombus.

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Point p’ is the image of p (5,-5) under translation by 2 units left and 5 units up what are the cordinates of p’

Answers

Answer: (3,0)

Hope this helps! :)

Step-by-step explanation: Think of graphing, like regular number lines. The numbers are either positive or negative and depending on the integer you add or subtract, the number on the line will either move left or right.

x= 5 (x on a coordinate plane is left to right)

2 units left

5-2=3

y= -5 (y on a coordinate plane is top to bottom)

5 units up

-5+5=0

(3,0)

Answer:

(3,0)

Step-by-step explanation:

x= 5-2 = 3

y= -5+5 =0

Confusing! Plsss Help!!!!!!

Answers

Answer:

  y = 120°

Step-by-step explanation:

Given a triangle with external angle y and remote internal angles 33° and 87°, you want the measure of y.

External angle

The external angle is the sum of the remote internal angles:

  y = 33° +87°

  y = 120°

__

Additional comment

Angle x is supplementary to y, so its measure is ...

  x = 180° -y = 180° -120°

  x = 60°

Hopefully, you notice that the value of x is ...

  x = 180° -(33° +87°)

This is the same value you get when you solve the equation for the sum of angles in the triangle:

  33° +87° +x = 180°

Effectively, the rule regarding the external angle being the sum of remote internal angles is another way of saying the sum of angles in a triangle is 180°.

Find the value of ccc so that the polynomial p(x)p(x)p, left parenthesis, x, right parenthesis is divisible by (x+2)(x+2)left parenthesis, x, plus, 2, right parenthesis. P(x) = 4x^3+cx^2+x+2p(x)=4x 3 +cx 2 +x+2p, left parenthesis, x, right parenthesis, equals, 4, x, cubed, plus, c, x, squared, plus, x, plus, 2 c=c=c, equals.

Answers

The value of c after solving the equation is 8.

For the polynomial to be divisible by x+2, hence x = -2

Given

p(x) = 4x³+cx²+x+2

p(-2) = 4(-2)³+c(-2)²+(-2)+2

p(-2) = 4(-8) + c(4)-2+2

p(-2) = -32+4c

If p(-2) = 0

0= -32+4c

-4c = -32

c = 32/4

c = 8

Hence we get the value of c as 8.

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When we do a confidence interval for the mean, we use the following distribution to determine the number of standard deviations needed for our confidence:
t-distribution z-distribution
skewed distribution Chi Square distribution

Answers

When we do a confidence interval for the mean, we use T-distribution to determine the number of standard deviations needed for our confidence

The T-distribution is a way to describe a collection of observations in which the majority of the observations are close to the mean and the remaining observations are the tails on either side. It is a type of normal distribution that is utilized for data with unknown variance and smaller sample sizes.

We use the T-distribution to obtain the required critical value, which is nothing more than the number of standard deviations from the center taken to obtain the confidence interval, despite the fact that there is no population standard deviation and only sample metrics—the sample mean and standard deviation—are used. As a result, the solution to this problem is T-distribution.

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Wrote an equation with a vertex : (4,-5)
passes through: (2,-1)

Answers

To solve this you need to use the vertex form of the equation of a parabola which is
y
=
a
(
x

h
)
2
+
k
, where
(
h
,
k
)
are the coordinates of the vertex.
Explanation:
The first step is to define your variables
h
=

4

k
=
2
And we know one set of points on the graph, so
x
=

7

y
=

34
Next solve the formula for
a

y
=
a
(
x

h
)
2
+
k


34
=
a
(

7
+
4
)
2
+
2


34
=
a
(

3
)
2
+
2


34
=
9
a
+
2


36
=
9
a


4
=
a
To create a general formula for the parabola you would put in the values for
a
,
h
, and
k
and then simplify.
y
=
a
(
x

h
)
2
+
k

y
=

4
(
x
+
4
)
2
+
2

y
=

4
(
x
2
+
8
x
+
16
)
+
2

y
=

4
x
2

32
x

64
+
2
So the equation of a parabola that has a vertex at
(

4
,
2
)
and passes through point
(

7
,

34
)
is:
y
=

4
x
2

32
x

62

What is the value of x?

Answers

Answer: 2

Step-by-step explanation:

Since both triangles are similar you can set both side lengths to be equal

4x = 16x -24

Isolate x on one side

-12x = -24

Then solve for x

x = 2

I need answers as soon as possible.

Answers

Answer:78 feet and 34 cubic feet

Step-by-step explanation:

$$1,2,2,4,8,32,256,\ldots,$$each term (starting from the third term) is the product of the two terms before it. for example, the seventh term is $256$, which is the product of the fifth term ($8$) and the sixth term ($32$). this sequence can be continued forever, though the numbers very quickly grow enormous! (for example, the $14^{\text{th}}$ term is close to some estimates of the number of particles in the observable universe.) what is the last digit of the $35^{\text{th}}$ term of the sequence?

Answers

The last digit of a₃₅ is 8 when each phrase (beginning with the third term) in the sequence $$1,2,2,4,8,32,256 is the product of the two terms that came before it.

Given that,

Each phrase (beginning with the third term) in the sequence $$1,2,2,4,8,32,256 is the product of the two terms that came before it. For instance, the seventh term, which is the sum of the fifth ($8) and sixth ($32) terms, is $256. Though the numbers very rapidly become large, this series can go on indefinitely! In terms of the number of particles in the observable universe, the $14 term, for instance, is close to some estimations.

We have to find what is the final digit of the sequence's $35 term.

We know that,

Remember the Fibonacci sequence, which goes 1, 1, 2, 3, 5, 8, 13, 21..., where each word is the total of the one before it. Continuing the above pattern, if Fn is the n-th Fibonacci number, we would arrive at

aₙ=a₂ˣₙ₋₁a₁ˣₙ₋₂=2ˣₙ₋₁

A periodic series of residues mod 10 is left behind by the sequence of positive powers of 2:

2≡2(mod 10)

2²≡4 (mod 10)

2³≡8 (mod 10)

2⁴≡16 (mod 10)

2⁵≡32 (mod 10)

2⁶≡64 (mod 10)

And so forth; this series of residues has a 4-year period.

The taken mod 4 period is 6:

34≡4 (mod 6)

F₃₄≡3 (mod6)

2³=8

So, the last digit of a₃₅ is 8.

Therefore, the last digit of a₃₅ is 8 when each phrase (beginning with the third term) in the sequence $$1,2,2,4,8,32,256 is the product of the two terms that came before it.

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Victoria deposited $15,000 into a savings account that earns an annual simple interest rate of 0.2% to the nearest 10th of a year how long will it take for the account to reach 15,500

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sus

It will take about 16.7 years to reach $15500.

What is the interest rate?

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the initial deposited amount is P = $15000, the interest rate is r= 0.2% annually, and the final amount is $15500.

The interest earned is calculated by subtracting the initial amount from the final amount:

15500-15000

=500

Therefore, the interest earned is $500.

Now, the formula for the simple interest is:

interest = P × r × t

Substitute the known values:

500 = 15000 × 0.2% × t

500 = 15000 × 0.2/100 ×t

500 = 30t

t = 500/30

t = 16.7

Hence, It will take about 16.7 years to reach $15500.

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Solve the inequality

2/7 > b + 5/7

Answers

Answer:

-3/7 > b

Step-by-step explanation:

subtract 5/7 on both sides

(2+8) + 10 ^2 +60 divided 10

Answers

Answer: 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

116

Write an equation for the line parallel to the given line that contains C.
C(1,5); y= -4x+7

Answers

Answer:

y=-4x+9

Step-by-step explanation:

We will find an equation in the form of y = mx + b. We know m must be -4(because the slope must be the same for parallel lines), so we need to solve for b, which is the y-intercept. To do that, we will plug in the point C, giving us [tex]5 = -4 * 1 + b[/tex]. Adding 4 to both sides gives us b = 9, so that is the y-intercept.

solve (x+21)+(2x+9)=90

Answers

Answer:

The answer is x=20

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

(x+21)+(2x+9)=90

x + 21 + 2x + 9 = 90

combine numbers on left side:

x + 30 + 2x = 90

combine x terms on left side:

3x + 30 = 90

subtract 30 from both sides:

3x + 30 -30 = 90 - 30

3x  = 60

divide  both sides by 3:

3x/3  = 60/3

x = 20

The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.

Answers

The likelihood that a shooter will hit the target at least 13 times is 27.92%.

Define the phrase "binomial distribution" please.The number of times the target is hit, X, has to be a random variable.The amount of trials ("n") equals 10 as a result of 15 bullets being fired.In such a binomial distribution, "p" symbolizes the probability of success and "q" represents the probability of failure (where q = p - 1)p = 0.89 with q = 0.11 as a result of the 0.89 chance of hitting the target.

For such a binomial distribution, the probability density function equals the amount of successes ("x").

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.

P(X = 13) =  ¹⁵C₁₃. (0.89)¹³ (0.11)²

P(X = 13) = 0.2792

P(X = 13) = 27.92%

Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.

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use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7486 b) 0.6915 c) 0.7224 d) 0.5987 e) 0.6628 f) none of the above.

Answers

The probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week is 0.7224. Hence option C is the correct option.

What is the binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarised using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

The formula for z-score is z = (x -μ)/σ

Where, μ is mean of the sample, σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the binomial distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Now calculate the z score where μ = 19.25, σ = 2.943 and X = 21

z = (21 -19.25)/2.943

z = 0.59

The value of p is 0.2776 when z score is 0.59.

The probability is 1 - 0.2776 = 0.7224.

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An exponential growth function represents a quantity that has a constant
doubling time.
O A. True
OB. False

Answers

Answer:

false

Step-by-step explanation:

Hope it helps!

i need your help please!!!!!!! and no fake answers please guys

Answers

The measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A circle:

Applying intersecting secants theorem:

4(4 + 2) = 3(3 + 2x + 5)

8 = 8 + 2x

x = 0

LK = 2x + 5 = 5 units

In the second circle:

4(4 + x - 8) = 3(3 + x - 5)

x = 10

NL = x - 8 + 4 = 10 - 8 + 4 = 6 units

Thus, the measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.

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