The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.​

Answers

Answer 1
a is 23.4 and b should be k point at 26

Related Questions

Find the discriminant. (Must Show Work)

-9m^2+m-7=0

Answers

Answer:

-251

Step-by-step explanation:

the discriminant .b^2-4ac

=1-4×(-9)×(-7)

=1-252=-251

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

short song i made what yall think of it?

Answers

this is good keep it up stan u sound cloud rappa 4 life

How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions

Answers

Answer:

No solution

Step-by-step explanation:

Use substitution

2x+1=2x-1

Subtract 2x on both sides

1= -1

No solution

If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?

Answers

Answer:

Check pdf

Step-by-step explanation:

Problem PLS HELP MY GRADES GOING DOWN

Answers

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

30 divided by 12 pls hurry

Answers

Answer:

2.5 is the correct answer.

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

The answer is 2.5 hope this helps

Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.

Answers

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ5

Please Help Me Answer:
-6n - 5 = 31

Answers

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6

8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​

Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

This is a similar triangle please find the missing length. (?)

Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE

Answers

Answer:

He will pay $14 to go on 7 rides with admission he will pay a total of $54.

Step-by-step explanation:

Admission-40

One ride-2

40+(2x7)=54

Determine the value of x in each figure.
HELPPPPP PLEASEEEEE

Answers

Answer:

15°

Step-by-step explanation:

120° and 8x are vertically opposite angles, which are always equal.

=> 8x = 120°

=> x = 120/8

=> x = 15°

I need help ASAP please

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2

Answers

Answer:

(1.25, -1.5)

Step-by-step explanation:

The system of equations:

y = -2x + 1

y = -3/2

So we know that the two lines meet at the point where y = -3/2 = -1.5

∴ -1.5 = - 2x + 1

2x = 1 + 1.5 = 2.5

x = 2.5 ÷ 2 = 1.25

So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)

PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

Answers

Answer:

a + (6 -2)

I'm not completely sure, but I hope this helps.

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Help this is the question pls help I need your help answer correctly
23 pts

Answers

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

Alright fam, help me out here with these angles thanks!

Answers

Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

18 entre 12 (división) Porfa respondan, mi ama me pega con la chancla si no lo hago,, es lo único que me faltam

Answers

Answer:

Step-by-step explanation:

18 dividido por 12 es 1.5 , esto se puede probar haciendo division larga o multiplicando 1.5 por 12

1.5 * 12 = 18

Espero que te haya ayudado la respuesta y que ahores el chancletazo.


[tex] {x}^{2} - 6x - 12[/tex]

Answers


The expression is not factorable with rational numbers

Fidel has a rare coin worth $550. Each decade, the coin's value increases by %10
Which kind of function best models the relationship between time and the coin's value?

Answers

Answer Answer Answer Answer

Answer: Exponential

Step-by-step explanation: I did it in khan

WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!


LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)

Answers

Answer:

B

Step-by-step explanation:

Answer:

im not sure but it may be B as if i cant see the photo

Step-by-step explanation:

tell me if i got it right or wrong :)

A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bounce's height. What would be the height of the 8th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

4.79

Hope this helps! :D

Answer: 0.2

Step-by-step explanation:

Help! The screenshot is down below!!

Answers

Answer:

Step-by-step explanation:

A) Find the total minutes that Anna walked.To find the average number of minutes, divide the total minutes by total number of days

B) Average number of minutes =

[tex]\frac{15*9 + 30*5 + 40*7 + 45*3 + 50*6}{30}\\\\= \frac{135 + 150 + 280 + 135 + 300}{30}\\\\=\frac{1000}{30}\\\\= 33. 33[/tex]

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.​

Answers

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex]  so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

Learn more:

https://brainly.com/question/17307037?referrer=searchResults

If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks

Answers

just do 10 x 15
=150

Answer:

D 150 thats easy multiply or add

TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.

Answers

Answer:

Step-by-step explanation:

what do you call the 9 in the statement 30% of 9 is 3

Answers

Answer: You call the 9 a base.

Step-by-step explanation: 3 is the percentage or part of the whole or base.

Answer:

9 is the base of the statement.

Step-by-step explanation:

Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.

Please help! 30 points!

Use the Law of Cosines to solve the problem.

A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.

Answers

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

Read more about bearing and elevation at

https://brainly.com/question/19594654

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