PLEASE HELP! URGENT!!


Find the range of values of [tex]k[/tex] for which the line [tex]y=kx+k[/tex] intersects the curve [tex]x^{2} +y^{2} =8k\\[/tex]

Answers

Answer 1

Answer:

x-

[tex]x = - {y}^{2} + 8k[/tex]


Related Questions

-6/25: 5 2/5 what is the answer i need help!!

Answers

The expression -6/25: 5 2/5 is simplified to -30/675

What is ratio?

Ratio can be defined as the comparison of two numbers or elements indicating their sizes in relation.

It is represented using the symbol ':'

Example;

The ratio of 3: 5 is written as 3/ 5

Given the expression;

-6/25: 5 2/5

Convert 5 2/5 into an improper fraction = 27/5

We have

-6/ 25 : 27/ 5

Take the ratio

- 6/ 25 ÷ 27/ 5

Take the inverse of the divisor and multiply

- 6/ 25 × 5/ 27

-30/675

Thus, the expression -6/25: 5 2/5 is simplified to -30/675

Learn more about ratio here:

https://brainly.com/question/2784798

#SPJ1

Another circular section of the island to be used to count marine iguanas has
a'radius of 1 kilometer. Researchers will sample this area to draw conclusions
about the iguana population on the entire island. What is the area of this
section? Use an approximation of n to two decimal places. Place your
approximation of the area in the orange chart below.

Answers

The area of the circular section is 3.14 square units

How to determine the area of the circular section?

The given parameters are:

Radius, r = 1 kilometre

Rewrite the above properly as follows

So, we have

r = 1 kilometre

The area of the circular section is:

A = πr^2

So, we have

A = 3.14 * 1^2

Evaluate the exponent

So, we have

A = 3.14 * 1

Evaluate the product

So, we have

A = 3.14

Hence, the area of the circular section is 3.14 square units

Read more about area at

https://brainly.com/question/25292087

#SPJ1

(b) After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression,
4,²
+45w+155, where w is the number of weeks. How much
25
will he have in 1 year?

Answers

Calculating the numeric value of the given function, it is found that Rob will have $2,603.16 in his account in one year.

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the expression for the amount that he has into his account after w weeks is given by:

A(w) = 0.04w² + 45w + 155.

One year has 52 weeks, hence w = 52, and the amount is given finding the numeric value as follows:

A(52) = 0.04(52)² + 45(52) + 155 = $2,603.16.

Rob will have $2,603.16 in his account in one year.

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Find the distance between -55 and 63.

Answers

Answer:

The distance would be 118

Step-by-step explanation:

The easiest way I solve the distance between a negative number and a positive number is by adding the negative (but making it a positive) and the positive together. If you add 55 and 63 you would get 118. And 118 is the distance between -55 and 63.

I hope this helps!! :)

Write the expression n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r using exponents.

Answers

Answer:

n² p²r³

Step-by-step explanation:

n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

Write using exponents

There are 2 n terms

n²⋅ p ⋅ p ⋅ r ⋅ r ⋅ r

There are 2 p terms

n² p²⋅ r ⋅ r ⋅ r

There are 3 r terms

n² p²r³

17/21 + 1/3 - 5/7 thank you!

Answers

Answer:3/7

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

change all denominators to 21

{21 is the lcd of all the numbers)

17/21 x 1= 17/21

1/3 x 7 = 7/21

5/7 x 3 = 15/21

17/21 + 7/21 - 15/21

24/21-5/21

9/21

reduce by three

9/21÷3

3/7

the annual salaries of all employees at a financial company are normally distributed with a mean mu

Answers

The value of the Z - Score is a -1.5.

According to the statement

We have to find that the z-score of the company.

So, For this purpose, we know that the

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

From the given information:

The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000.

Then

Let X = annual salaries of all employees at a financial company

And

The z score probability distribution for the normal distribution is given by:

Z - Score = Annual salary - mean / s.d.

Then substitute the values

Z - Score = 28,000 - 34,000/ 4000

Z -Score = -6/4

Z -Score = -1.5.

So, The value of the Z - Score is a -1.5.

Learn more about Z-score here

https://brainly.com/question/25638875

#SPJ4

The net below shows the dimensions of a triangular pyramid with equilateral base.
What is the lateral surface area of this triangular pyramid?

Answers

The Lateral surface of the triangular pyramid = 6 cm²

How to Find the Lateral Surface of a Triangular Pyramid?

The lateral surface of a triangular pyramid is the area of the three triangular surfaces of the triangular pyramid, which excludes the area of the base.

The area of each triangular face = area of triangle = 1/2(base)(height).

Given the following as shown in the diagram:

Height of the triangular face = 7.2 cm

Base length of the triangular face = 5 cm

Lateral surface of the triangular pyramid = 3(1/2 × base × height)

Plug in the values

Lateral surface of the triangular pyramid = 3(1/2 × 5 × 7.2)

Lateral surface of the triangular pyramid = 3(18)

Lateral surface of the triangular pyramid = 6 cm²

Learn more about the Lateral surface of triangular pyramid on:

https://brainly.com/question/15779514

#SPJ1

Find a counterexample to show that the conjecture is false.
The sum of two numbers is always greater than their difference.

Answers

The statement is false, a counterexample is given by using the numbers 1 and -1.

How to find the counterexample?

Here we have the statement:

"The sum of two numbers is always greater than their difference"

So we just need to find two numbers such that the statement is false.

This is really trivial, for example, we can propose the numbers 0 and 0.

The sum gives 0 + 0 = 0

The difference is 0 - 0 = 0

The sum is not greater than the difference.

Now, I will propose a less trivial counterexample, let's use the numbers 1 and -1.

The sum gives 1 + (-1) = 1 - 1 = 0

The difference gives: 1 - (-1) = 1 + 1 = 2

The difference is larger than the sum, so we found a counterexample for the given statement.

If you want to learn more about counterexamples:

https://brainly.com/question/1581078

#SPJ1

what is the difference of - 3 - ( - 10)

Answers

Answer
(-3) - (-10) = 7

|7| = 7

7

The diagram represents two statements: p and q.
P
COD
A B
Which represents regions A, B, and C?
OpVq
Op-9
Ο g/p
O q-p

Answers

The regions is represented as :

   A = p - p ∩ q ,  B = p ∩ q  and   C = q - p ∩ q

According to the question we have been given the Venn diagram with two regions p and q.

We need to find the representation of regions A, B and C.

As we can from the diagram,

  region A is the area where the only p statement is there which exclude the B region . That is A is area of difference.

So it can be represented as

                   A = p - p ∩ q

  region B is the intersection of p and q.

So it can be represented by

                  B = p ∩ q

region C is the area where only q statement is there and excludes the intersection region. That is C is area of difference

So it can be represented as

                  C = q - p ∩ q

Hence the regions is represented as

                  A = p - p ∩ q

                  B = p ∩ q

                  C = q - p ∩ q

Learn more about Venn diagram here : https://brainly.com/question/2099071

#SPJ9

The distributive property also combines subtraction and multiplication for example, 3 x (5 — 2) = (3 x 5) —(3 x 2). Explain how you could use the Distributive Property and mental math to find 5 x 198.

Answers

After using distributive property we find the solution of 5 × 198 is 990.

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

5 × 198

Now, By using distributive property we calculate as;

5 × 198 = 5 × ( 200 - 2 )

           = (5 × 200) - (5 × 2)

           = 1000 - 10

           = 990

Hence, After using distributive property we find the solution of 5 × 198 is 990.

Learn more about the distributive property visit:

https://brainly.com/question/25224410

#SPJ1

Select all the expressions that are equivalent to –24 [tex]\frac{1}{2}[/tex] + 16.15 – 4.

Answers

The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex]  .

In the question,

the given expression is [tex]-24\frac{1}{2} +16.15-4[/tex] , solving further we get

= -49/2 + 16.15 - 4       ...(as [tex]24\frac{1}{2} = \frac{49}{2}[/tex]  )

= -24.5 + 12.15

= -12.35

In option(A) we have ,

=[tex]24\frac{1}{2} -16.15+4[/tex]

= 49/2 -16.15 +4

= 24.5 -16.15 +4

= 8.35 + 4

= 12.35

In option(B) we have ,

= 16.15 - 28.5

= -12.35

In option(C) we have ,

= -28.5 + 16.15

= -12.35

In option(D) we have ,

[tex]=-20\frac{1}{2} +16.5[/tex]

= -41/2 + 16.5     ...( as [tex]20\frac{1}{2} = \frac{41}{2}[/tex] )

= -20.5 + 16.5

= -4

In option(E) we have ,

[tex]=12.15-24\frac{1}{2}[/tex]

= 12.15 - 49/2

= 12.15 - 24.5

= -12.35

As we can see that from all the option , only option(B), option(C) and option(E) matches with the given expression .

Therefore , The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex]  .

Learn more about Expressions here

https://brainly.com/question/13601263

#SPJ1

Problem: Chrissy has 3 cats. Each cat weighs differently. The first and second cat weigh 7 kg altogether. The second and third cat weigh 8 kg altogether. The third and first cat weigh 11 kg altogether. What is the weight of each cat?

Answers

Answer:its a

Step-by-step explanation:

!!!!!PLEASE HELP!!!!!

Answers

Answer:The answer would be 8

Step-by-step explanation:You would have to do 8/-2+2 and that would leave you with 8 because -2+2 is 0.

Solve each system by elimination.

Answers

For the given systems of equations, we have that:

1) The infinite solutions have the following format: (3y - 12, y, 10y - 31).

2) There is one solution: (1.58, -3.45, 3.89).

3) There is one solution: (3, 2, 4).

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item 1, the system is:

3x + y - z = -5.-4x + 2y + z = 17.-2x - 4y + z = -7.

From the first equation, we have that:

z = 3x + y + 5.

Replacing on the second equation, we have that:

-4x + 2y + 3x + y + 5 = 17

-x + 3y = 12

x = 3y - 12.

Replacing on the third equation, we have that:

-2x - 4y + 3x + y + 5 = -7

x - 3y = -12

Since x = 3y - 12:

3y - 12 - 3y = -12

0 = 0.

Free variable, hence:

x = 3y - 12.y = y.z = 3x + y + 5 = 9y - 36 + y + 5 = 10y - 31.

The infinite solutions have the following format: (3y - 12, y, 10y - 31).

For item 2, the system is:

x + 5y + 3z = -4.x + 2y - 3z = 8.-3x + 2y + 3z = -12.

From the first equation:

x = -4 - 5y - 3z.

Replacing on the second equation:

-4 - 5y - 3z + 2y - 3z = 9.

-3y -6z = 13.

3y + 6z = 13.

Replacing on the third equation:

-3(-4 - 5y - 3z) + 2y + 3z = -12

12 + 15y + 9z + 2y + 3z = -12

17y + 12z = -14.

From the second equation, we have that:

z = (13 - 3y)/6.

Hence, replacing on the third again:

17y + 2(12 - 3y) = -14

11y + 24 = -14.

y = -3.45.

z = (13 - 3 x (-3.45))/6 = 3.89.

x = -4 - 5(-3.45) - 3(3.89) = 1.58.

Hence:

There is one solution: (1.58, -3.45, 3.89).

For item 3, the system is:

-4x - 2y + 5z = 4.5x + 2y - z = 15.5x - 2y  - 3z = -1.

From the second equation:

z = 5x + 2y - 15.

Replacing on the first:

-4x - 2y + 5(5x + 2y - 15) = 4

-4x - 2y + 25x + 10y - 75 = 4

21x + 8y = 79.

Replacing on the third:

5x - 2y - 3(5x + 2y - 15) = -1

5x - 2y - 15x - 6y + 45 = -1.

-10x - 8y = -46.

Adding both resulting equations, we have that:

11x = 33.

x = 3.

Then

21x + 8y = 79.

63 + 8y = 79

8y = 16

y = 2.

z = 5x + 2y - 15 = 5(3) + 2(2) - 15 = 4.

There is one solution: (3, 2, 4).

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).
f(x) = -2x + 7
g(x) = x² - 6x + 5

Answers

The value of (gof)(-2) for the given values of f(x) and g(x) is 60.

A Composite function may be defined as a function which is formed from the operation of combination of two functions. If f(x) and g(x) are two functions, then the composite functions of the given functions are fog(x) that is f(g(x)) and gof(x) that is g(f(x)).

It is given in the question that f(x) = -2x + 7 and g(x) = x² - 6x + 5.

Now, gof(x) = g(f(x)) = (-2x + 7)² - 6(-2x + 7) + 5

gof(x) = 4x² + 49 - 28x + 12x - 42 + 5

gof(x) = 4x² - 16x + 12

gof(-2) = 4(-2)² - 16(-2) + 12

gof(-2) = 16 + 32 + 12

=>gof(-2) = 60

Therefore, the value of gof(-2) is equal to 60.

Learn more about Composite Function at:

brainly.com/question/17749205

#SPJ9

Simplify the ABSOLUTE VALUE of the number
sentence to solve:

| -4 | + | 1 |=

3

5

-5

-3

Answers

Answer:

5

Step-by-step explanation:

Every number from the absolute sign will be positive.

A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards did the team gain or lose?

9 yards

33 yards

21 yards

3 yards

Answers

The answer is 3 yards
Answer is + 3 yards gained

First you gained
+6 yards
Then you lost
- 15 yards
Then you gained
+ 12 yards
_________
+ 3 yards gained

Algebra 2, Need help Fast

Answers

Answer:

[tex] - 2x - h[/tex]

Step-by-step explanation:

We are given a function [tex]g(x)=2-x^2[/tex]. We want to find [tex](g(x+h)-g(x))/h[/tex] To do so, first we need to work out the numerator

[tex]g(x+h)=2-(x+h)^2[/tex]. Therefore

[tex]g(x+h)-g(x)\implies 2-x^2-2xh-h^2-2x-x^2[/tex]

like terms cancel out leaving us with

-2xh-h²=h(-2x-h)

So,

[tex] \displaystyle\frac{g(x + h) + g(x)}{h} = \frac{ h( - 2x - h )}{h} = \boxed{ - 2x - h}[/tex]

Please answer this math equation.

Answers

The interval where the function is nonlinear and decreasing is 0 < x < 4

How to determine the interval where the function is nonlinear and decreasing?

The straight lines on the graph are the intervals where the graph is linear

This means that the straight lines on the graph will not be considered

Considering the curve, the graph decrease from x = 0 to x = 4

This can be rewritten as:

0 < x < 4

Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4

Read more about function intervals at:

https://brainly.com/question/13136492

#SPJ1

helppppp plssssssssssssssssss

Answers

Answer:

x=3

Step-by-step explanation:

3x-7=2

  +7  +7

3x=9

Divide by 3.

3x divided by 3 is x.

9 divided by 3 is 3.

x=3

Hope this helps.

X=3 Is going to be your correct answer

Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary. Original price: $123.28 Tax rate: 7.5%

Answers

7.5% = 0.075

0.075 x 123.28 = 9.246

So, the tax will be $9.20.

Total cost would be $132.48.

rationalise the denominator and simplify the square root of 15 over the square root of 5​

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex]

to rationalise the denominator multiply numerator/ denominator by [tex]\sqrt{5}[/tex]

= [tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

= [tex]\frac{\sqrt{75} }{5}[/tex]

= [tex]\frac{\sqrt{25(3)} }{5}[/tex]

= [tex]\frac{5\sqrt{3} }{5}[/tex]

= [tex]\sqrt{3}[/tex]

According to the 2010 census, the population of Nebraska was 1.8 × 106 people. Which state had a smaller population?
(1 point)
California: 3.7 × 107
Rhode Island: 1.1 × 106
Texas: 2.5 × 107
Missouri: 6 × 106

Answers

Rhode Island has a smaller population.

Here,

According to the 2010 census, the population of Nebraska was 1.8 × 106 people.

We have to find the smaller population.

What is Product?

The multiply of two or more number is called Product.

Now,

The population of Nebraska was 1.8 × 106 people.

1.8 x 106 = 190.8

And,

The population of California = 3.7 x 107 = 395.9

The population of Rhode Island = 1.1 x 106 = 116.6

The population of Texas = 2.5 x 107 = 267.5

The population of Missouri = 6 x 106 = 636

Hence, Rhode Island has a smaller population.

Learn more about the product visit:

https://brainly.com/question/26090574

#SPJ1

AYUDA!! SE ME OLVIDO COMO RESOLVER GEOMETRÍA ​

Answers

P = 180 - (125 + 30)

P = 180 - 155

P = 25 degrees

Thus :

P = 25/180 n radian

P = 5/36 n

Which mean the first option is the correct answer.

What is 5 divided by 1900 ?

If you know the answer please write steps

Answers

Answer:

i think the answer is 0.00263157895

It’s 0.002631578947368 if you divide

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4

Answers

The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.

Given that, 2.3p – 10.1 = 6.5p – 4 – 0.01p.

We need to find which equations have the same solution as the given equation.

What is an equivalent equation?

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Now, 2.3p - 10.1 = 6.5p - 4 - 0.01p can be simplified as follows:

To add or subtract terms of algebraic equations group like terms add numerals and keep the variables the same.

That is, 2.3p - 10.1 = (6.5p - 0.01p) - 4  

⇒2.3p - 10.1 =6.49p - 4

The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.

To learn more about the equivalent equation visit:

https://brainly.com/question/28263804.

#SPJ1

73.69 in scientific notation

Answers

Answer:

see picture

Step-by-step explanation:

Please look at explaination

find the solution to this equation:5(x-6)+8=7x-10

Answers

Answer:

x = -6

Step-by-step explanation:

Distribute where possible

5x - 30 + 8 = 7x - 10

Combine like terms

5x - 22 = 7x - 10

Subtract 7x from both sides and add 22 to both sides

-2x = 12

x = -6

Answer is 70 according to my calculator
Other Questions
look at all the snow is it a fragment or sentence if the trial balance is in balance, it can be assumed that all journal entries were posted correctly and no errors were made. Which of the following is another name for the processor? A. CPU B. RAM C. DVD D. HDD Maker the subject of this formula.V = p+r? HELP 14 POINTS!!! QUESTION IN PICTURE!! 3.2 identify and explain FIVE of Gender-based violence? please help ! im so confused Explain how to do -12 - (-98) + 7 - 3 Rearrange the formula d=rt to solve for time.im having a lil trouble with this one guys (b) At what speed does the classical kinetic energy underestimate the experimental value by 1 % ? (c) By 5 %? (d) By 50 % ? One way in which the unrest contributed to the increased rate in gender based violence in south africa 16) Select the complex sentence with a subordinate clause at the beginning.While we watched the movie, the rain flooded the streets.The airplane made an emergency landing in the field, which was very muddy.Where the car had been taken was a mystery that we would not soon solve.The governor threw out candy while riding a float in the parade. every year, more than three million cases of child abuse are reported, involving children. the condition called macular degeneration involves decreased function of the macula of the retina. what is the effect of this condition on vision? Lymphatic vessels are similar to veins in that they contain valves to prevent backflow, and use the contraction of nearby skeletal muscles to help move lymph along. True or false?. The function g(x)=x + 3px + (14p - 3), where p is an integer, has two equal roots.a Find the value of p.b For this value of p, solve the equation x + 3px + (14p - 3) Graph the equation by plotting threepoints. If all three are correct, the linewill appear.-4y = x - 18 What are the reasons Flat Earther's use to prove their claim? Then from five thousand throats and more there rose a lusty yell; It rumbled through the valley, it rattled in the dell; It pounded on the mountain and recoiled upon the flat, For Casey, mighty Casey, was advancing to the bat. There was ease in Casey's manner as he stepped into his place; There was pride in Casey's bearing and a smile lit Casey's face. And when, responding to the cheers, he lightly doffed his hat, No stranger in the crowd could doubt 'twas Casey at the bat. Ten thousand eyes were on him as he rubbed his hands with dirt; Five thousand tongues applauded when he wiped them on his shirt; Then while the writhing pitcher ground the ball into his hip, Defiance flashed in Casey's eye, a sneer curled Casey's lip. Read the excerpt from Casey at the Bat by Ernest Lawrence Thayer. Discuss how the rhyme pattern affects how you read the poem. Does it makes it easier or harder to read? What is the rhythmic pattern? Is it consistent, like a sing-song pattern or does it change? How does the punctuation affect your reading? (This is a essay) Find the equation of the line which passes through (4,1) and is parallel to the line with equation 2y=x+1