help me plz..

the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k​

Answers

Answer 1

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

Answer 2

The value of k will be;

⇒ k = 3

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

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Related Questions

URGENT HELP !!!!!
Find the solution to the following system of equations using the comparison method:
Y=8x
Y=10x -6
No links or I am reporting

Answers

Answer:

4 I think is the answer

Step-by-step explanation:

Pleasee I need it asap

Answers

Answer:

What is the length of EF: 12

What is the length of BC: 8

Step-by-step explanation:

Since there congruent shapes the line segments are gonna be the same lengths.

Answer:

Step-by-step explanation:

If the figures are congruent then BA and FE are equal. You only know this by the shape.

EF = 12BC = 8Both are corresponding parts of equal triangles.

hey can yall help me
what's 9+10=21

Answers

Answer:

69,420

Step-by-step explanation:

A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large pizza than the area of the medium pizza. Round your answer to the nearest hundredth place. ** Use 3.14


A. 12.56

B. 50.24

C. 75.36

D. 78.50

Answers

Answer:

The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.

Step-by-step explanation:

The area of a circle is πR2 where R is the radius.

The difference in the size of the pizzas is  

Area of bigger pizza - Area of smaller pizza

= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2  

The area of the large pizza is 13π inches² larger than the area of the medium pizza.

The bigger pizza has a diameter of 14 inches,

a radius = 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches.

radius = 12 / 2 = 6 inches.

What is the area of the circle?

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle =πR²

The area of a circle is πR², where R is the radius.

The difference in the size of the pizzas = Area of bigger pizza - Area of smaller pizza

= π(7 inches)² - π(6 inches)²

= 49π inches² - 36π inches²

= 13π inches²

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what is the area to


file:///C:/Users/13372/Downloads/Zearn.pdf

Answers

Answer:

In SI base units: 1 m2  SI unit: Square metre

Step-by-step explanation:

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.

can one of yall solve the problem above ?

Answers

Answer:

C

Step-by-step explanation:

Solve ∣3x−2∣+4=0. Write your smaller answer first.

Answers

Answer:

wrong

Step-by-step explanation:

Part A
Which of the following expressions could be used to find
the volume of the sheet cake? Select all that apply.

Sheet cake has length of 12 in., height of 3 in. and width of 5 in.
A. 60 × 3
B. 12 + 5 + 3
C. 3 × 5 × 12
D. 12 × 5
E. (3 × 5) × 12
Part B
The baker adds another 1-inch-thick layer to the bottom of the sheet cake. The height of the sheet cake is now 4 inches. What is the volume of the sheet cake?
A. 200 in.3
B. 240 in.3
C. 180 in.3
D. 220 in.3

Answers

Answer:

Part A: option C

Part B: option B

Step-by-step explanation:


1) त्रिभुज LOK को क्षेत्रफल पत्ता लगाउनुहोस् । जहाँ
LO= LK = 5cm र LB=3cm छन्।
Find the area of triangle LOK, where
LO=LK = 5 cm and LB = 3 cm. Ans: 12 cm?

Answers

Answer:

hope this helps you.keep it up..

A spinner has spaces numbered 1 through 10, with an equal chance of
landing on each. A winning spin is one that lands on a 7 or more. What is
the probability of a winning spin? (answer as a reduced fraction) *
1/4
1/2
3/10
2/5

Answers

2/5 is the aneswer. beacuse 7/8/9/10 eqaul 4 times out of 10 to win 4/10 reduces down to 2/5.

i will give brainliest if you help me

Answers

Answer:

it would still be the same length due to the fact that it did not change lengths.

Step-by-step explanation:

Lisa is baking 3 cakes. Each cake needs 2-thirds cup of water. What is the total amount of water she needs?Answer options with 4 options.2 cups.3 and 2-thirds cupsC.4 and 1-half cupsD.6 cups

Answers

Answer:

6/3

Step-by-step explanation:

Lisa is baking 3 cakes

Each cake required 2/3 water

Therefore the total needed to finish the cake can be calculated as follows

=>2/3 ×2

= 6/3

Hence 6/3 cup of water needed for the cake

is the expression b+2(b+2b) equivalent to 4b

Answers

Answer:

no because the parenthesizes means your multiplying

Step-by-step explanation:

Help, please! I will try to give you Brainliest when you get it right.

Answers

Answer:

a) (x + 14) + 3x = 90

b) m<1 = 33 degrees

m<2 = 57 degrees

Step-by-step explanation:

a) as we can see, the measure of angle 1 added to the measure of angle 2 will give 90 degrees

Mathematically, we have this as;

m<1 + m<2 = 90

Using the values of the angles given, we have it that;

(x + 14) + (3x) = 90

x + 14 + 3x = 90

4x + 14 = 90

4x = 90-14

4x = 76

x = 76/4

x = 19 degrees

b) if x = 19; then ;

m<1 = (19 + 14) = 33 degrees

m<2 = 3(19) = 57 degrees

Please help, I've been stuck on this question for an hour!

Answers

Answer:

18 inches

Step-by-step explanation:

What are the TWO formulas for the area of a triangle?

Answers

Answer:

Step-by-step explanation:

?

The area of a square is 20 m2.
What is the length of a side of the square?

Answers

Answer:

c i think this is thew answer

Step-by-step explanation:

If the area of the square is 20 m² then the side length of the square is √20 m. Then the correct option is B.

What is a square?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The area of a square is 20 m².

Then the area of the square s given as

Area = a²

where a is the side length of the square.

a² = 20

a = √20 m

The side length of the square is √20 m.

More about the square link is given below.

https://brainly.com/question/13747846

BAG 1
BAG 2
If both bags are combined, which is a true statement?
A. The probability of randomly selecting an apple is to
B. The probability of randomly selecting an apple is greater
than the probability of selecting an orange.
C. The probability of randomly selecting an orange is equal
to the probability of selecting an apple.
D. The probability of selecting an orange is

Answers

its c because you can get both

"A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large pizza than the area of the medium pizza. Round your answer to the nearest hundredth place. ** Use 3.14 Tip: This is a two step question

Answers

Answer:

51.0

Step-by-step explanation:

ASAP ANSWER THISSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Apply the distributive property to create an equivalent expression.

6(5x -3) =

Answers

Answer:

5x-3= x=5-3= 2=2x

then, 6×2x =12x

Read the problem. 10% of the students at Harris Middle School are on the yearbook committee. If 30 students are on the yearbook committee, how many students are at Harris Middle School? Pick the model that represents the problem. How many students are at Harris Middle School?

Answers

Answer:

100%

300 students

Step-by-step explanation:

let b = number of students in the school

this equation can be derived = 10% x b = 30

to find b, divide both sides of the equation by 10%

b = 30/0.1 = 300

we want find the total number of students in the school, which is equal to 100%

into a single power.

Answers

Answer:

As a single power, we have the expression as (-24)^4

Step-by-step explanation:

Here, we want to write the expression into a single power

Using the indical laws, we have it that;

a^x/a^y = a^(x-y)

Thus, we have it that;

(-24)^5/-24 = (-24)^5-1 = -24^4

Pls helppp meee and thank you so so much

Answers

Answer:

the answer should be like -4, 1 if i'm not mistaken

5^{2} \ + \ 4 ( 6 \ + \ 4 \ + \ 2^{2} )5
2
+ 4(6 + 4 + 2
2
)

Answers

Answer std

Step-by-step explanation:

being a grimy bic

Jason spent half of his allowance going to the movies. He washed the family car and earned 8 dollars. What is his weekly allowance if he ended with 15 dollars? Giving the brainliest!!

Answers

Answer:

[tex]14[/tex] dollars.

Step-by-step explanation:

He washed the family car for $8, and he didn't spend it, correct?

[tex]15-8=7,[/tex] he spent half his allowance on the movies, correct?

[tex]7[/tex]×[tex]2=14.[/tex]

PLEASE HELP FAST! THX

Answers

Answer:

3 ,5 , and 2

Step-by-step explanation:

Hope it helps :)

A teacher took a survey of his eight class. After Finishing his survey, he found that there was no correlation between the number of miles the students live from school and the students grades. Which graph can represent the result of the survey?

Answers

Answer:

The graph in the middle with points all around the place would be the answer.

Step-by-step explanation:

The result of the survey showed no correlation, so there would be no pattern or trend line in the graph. So it cannot be the 1st graph or the 3rd.

If the mean of this distribution is 13.7, which could NOT be the median

A.9
B.14
C.16
D.18

Answers

Answer:

A

Step-by-step explanation:

Mark as brainllest

Answer:

A

Step-by-step explanation:

give fitzroywilliamsjr6 Brainllest plz

ill give u brainiest just tell me if i got any of those wrong!!! no links or i will report. ASAP

Answers

Answer:

17 is what percent of 60? = 28.33.

what percent of 238 is 48 = 20.17

what percent of 365 is 40 = 10.96

Step-by-step explanation:

Aliana uses beads that are 5/4 Centimeters long she uses three beads altogether how many centimeters of beads will Aliana use for the necklace

Answers

Answer:

Length of beads altogether in the necklace = 3.75 cm

Step-by-step explanation:

Length of the beads used in a necklace = [tex]\frac{5}{4}[/tex] cm

Number of beads used in the necklace = 3

Therefore, length of beads in the necklace = Length of each bead × Number of beads used

= [tex]\frac{5}{4}\times 3[/tex]

= [tex]\frac{15}{4}[/tex]

= 3.75 cm

Length of the beads altogether in the necklace = 3.75 cm

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