If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.​

Answers

Answer 1

Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25


Related Questions

Help me to prove it

Answers

QUESTION:- PROVE THE IDENTITY

INDENTITY->

[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } = 2 \cosec^{2} (A) [/tex]

ANSWER:-

[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } \\ \\ \\ \frac{(1 + \cos(A)) + (1 - \cos(A))}{(1 - \cos(A))(1 - \cos(A))} \\ \\\\ \frac{2}{ {1}^{2} - \cos^{2} (A) } = \frac{2}{ \sin^{2} (A) } \\\\\\ 2 \cosec^{2} (A) = 2 \cosec^{2} (A) \\ \\ \\ LHS=RHS \\ \\ HENCE \: \: \: PROVED[/tex]

Step-by-step explanation:

1.cross multiply

2.solve the numerator and

multiply the denominator

3.the denominator comes in the formula

4.convert it and your answer is there

Please help ASAP!!
What is the value of x?

Answers

Answer:

45°

Step-by-step explanation:

80 + 55=135

Every type of triangle has 180 degrees.

180-135=45 degrees.

Cam someone help me out please

Answers

Answer:428.67

Step-by-step explanation:

πr (r+square root(h2+r2) plug in the numbers

Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?

A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3

Answers

c
30x+20>14x-28
16x>-48
x>-3

What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6

Answers

Answer:

3x - 124

Step-by-step explanation:

kindly find solutions in the picture above

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6

Combine all like terms.

(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6

(8x² - 73x²) + 2x + 6

-65x² + 2x + 6

There are no common factors or like-terms to simplify.

So,

The simplified form is -65x² + 2x + 6

Thus,

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

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Which is true about the triangles pictured?
С
60
609
50
70
70°
50
B
D
The triangles are not congruent.
The triangles are congruent by Angle-Angle-Angle.
If AC EF. then the triangles could be proved congruent by Angle-Side-Angle.
if BC EF, then the triangles could be proved congruent by Angle-Side-Angle.

Answers

Answer:    The triangles can be proven congruent from angle-angle-angle.

Step-by-step explanation:       I know this because the angles match up with each other

Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3

Answers

Answer:

Using long division method the answer is B

Step-by-step explanation:

x²+3x-5+(15x-18)/x²+x-3

anyone knows the answers ? need help with this.

Answers

Answer:

2.

a) X=5.0791

(sorry I only know that one)

Write the number one thousand and four in figures

Answers

Answer:

1004 is the correct awnser

Step-by-step explanation:

pls give me brainliest

Answer:

1004

Step-by-step explanation:

one thousand  = 1000

four = 4

1000+4 =1004

what are the steps in solving
12x+4=20x+24

Answers

Answer:

x = -5/2

Step-by-step explanation:

12x+4=20x+24

-8x + 4 = 24

-8x = 20

x = -5/2

calculate the value of 120 is increased by 120%​

Answers

Answer:

144

Step-by-step explanation:

currect answer for simple question

Answer:

264

Step-by-step explanation:

First find the amount of increase

120 * 120%

120 * 1.2

144

Add this to 120

120 +144

264

m∠A = (2x + 5)° and m∠B = (3x − 15)°.
Find the measure of each angle (in degrees) of ▱ABCD.

Answers

Answer:

Step-by-step explanation:

We have to assume that ABCD is a parallelogram. If it isn't, leave a note.

Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.

<A + <B = 180

2x + 5 + 3x - 15 = 180

5x - 10 = 180                    Add 10 to both sides

5x = 190                         Divide by 5

x = 190/5

x = 38

A = 2x + 5

A = 2*38 + 5

A = 81

B = 3x - 15

B = 3*38 - 15

B = 99

What is the area of this triangle

Answers

Answer:

17.5 units

Step-by-step explanation:

im not good at explaining sorry

247 divided by 7
[tex]247 \div 7[/tex]

Answers

Answer:

35

hope it help

...

....

.....

......

.......

Step-by-step explanation:

[tex]247 \div 7 \\ = 37[/tex]

9z and 9x are like terms ?
O A. True
O B. False

Answers

Answer: False

Explanation: In math, “like terms” refer to any terms that share the same variable, or lack of. In the scenario given to us, we are asked to determine if 9z and 9x are like terms. Though both numbers have a constant of 9, this will not help us in any way, as we are to look at the variable. Since one variable is z and the other is x, 9z and 9x are not like terms.

Hope this helps! Comment below for more questions.

escample: If 600 Students registered for mat 101,300 for Phy 101 while 173 students registered for both mat101 and phy 101 in 2021 first semester, How many Students registered the two course​

Answers

I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses

A number is divided by 1/4.Write an expression for this situation.

Answers

Answer:

x ÷ 1/4

Step-by-step explanation:

Concepts:

An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.A variable is an unknown, numerical value in an equation, often represented by the letter x.

Solving:

Let's translate the first part of the expression:

1. "A number"

Since we're unaware of the number in this expression, we can mark it as a variable, x.This means that, so far for our expression, we only have the variable, "x".

2. "divided by 1/4"

When we're dividing, we use the ÷ symbol to represent that operation. Now, let's put the first part of our expression with the second one: "x ÷ 1/4"

Therefore, the expression for this situation is x ÷ 1/4.


A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes. One cube is selected at
random from the bag. What is the probability that the selected cube will NOT be blue?
1/4
5/8
3/4
7/8

Answers

Answer:

3/4

Step-by-step explanation:

7 + 3 + 2 + 4 = 16

4 blue cubes = 4/16

16 - 4 = 12

12/16 = 6/8 = 3/4

The probability that the selected cube will not be blue is 3/4.

How to calculate probability?

Total number of cubes: 7+3+2+4=16

Number of cubes that are not blue: 12

Probability: Desired outcomes/ Total outcomes

                 =12/16

                 =3/4

Therefore, the probability of not selecting blue cube is 75%(or 3/4).

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HELP ASAPPP !
select the correct answer from each drop-down menu.​

Answers

Answer:

3.8; 4

Step-by-step explanation:

In this exercise, you're are required to find the missing values by performing some arithmetic calculations.

For the first part;

Let the missing value be X

Translating the word problem into an algebraic expression, we have;

[tex] X = 2000 * 1.9 * 10^{-6} [/tex]

[tex] X = 3.8 * 10^{-3} [/tex]

For the second part;

Let the missing value be Y.

[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]

[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]

[tex] X = 4 [/tex]

Therefore, the complete sentence would be written as follows;

[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]

SOMEONE PLEAS HELP ME OUTTTTT!!!

Answers

The answers is 44 I think

Answer:

31 degrees

Step-by-step explanation:

the side with the length of 29 can be seen as the radius of a circle.

and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.

15 = sin(?)×29

sin(?) = 15/29 = 0.5172...

? = 31.14... degrees ≈ 31 degrees

In the diagram, the ratios of two pairs of corresponding sides are equal.

Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is blank, side Y Z is 9, and side Z X is 6.

To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that

∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y

Answers

Answer:

∠N ≅ ∠Z

Step-by-step explanation:

In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.

Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.

Answer:

A)  ∠N ≅ ∠Z

Step-by-step explanation:

Which of the following quadrilaterals must be a parallelogram according to the minimum requirements?

Answers

The answer is C because there are 2 arrow which mean it's parallel.

The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.

There are four quadrilaterals given in the option.

We need to check which quadrilateral has the minimum requirements.

What is the minimum requirement to construct a parallelogram?

The construct a Parallelogram we need:

- The measure of any two non-parallel sides.

- The measure of an angle.

In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.

Checking the options given.

Option A:

- Two parallel and equal sides.

- Equal opposite angles.

It meets the minimum requirement to be a parallelogram.

Option B:

The quadrilateral has only two parallel and equal sides.

It does not meet the minimum requirements to be a parallelogram.

Option C:

The quadrilateral has only one parallel and equal side.

It does not meet the minimum requirements to be a parallelogram.

Option D:

It has no parallel and equal sides.

It has equal opposite angles and diagonal bisecting.

But it does not meet the minimum requirements to be a parallelogram.

We see that the minimum requirements needed to be a parallelogram is found in option A,

Hence Option A is our correct answer.

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Can you guys help me find ST on the left and WY on the right

Answers

Answer:

ST = 17 and WY = 32

Step-by-step explanation:

3

SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with

ST = SR , that is

7x - 4 = 3x + 8 ( subtract 3x from both sides )

4x - 4 = 8 ( add 4 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17

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

4

Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then

WZ = WY , that is

9x - 13 = 6x + 2 ( subtract 6x from both sides )

3x - 13 = 2 ( add 13 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32

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

Answers

Answer:

The one at the bottom

Step-by-step explanation:

Plug in the value of x = 3 for every equation

I plugged the value of 3 into this equation:

2(3) +3y = 0

3 + 2y = -1

Let's start with the first line

6 + 3y = 0

-6 -6

3y = -6

3y/3 = -6/3

y = -2

Now let's solve the second line

3 +2y = -1

-3 -3

2y = -4

2y/2 = -4/2

y=-2

Since both equations have the solution y = -2, that means the system of equations is valid when the value of x is 3.

Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?

Answers

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

which parent function is represented by the graph?

Answers

Answer:

y=x

Step-by-step explanation:

Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that will find the
missing 3rd root (r). You do not have to solve the problem. See the example "Find the Missing Root - Interesting Twist" if you need help.


_=_(_-1)(_-2)(_-_)

Answers

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

[tex]y=a(x-c_1)(x-c_2)...(x-c_n)[/tex]

Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the roots of the polynomial.

Polynomial roots are 1 and 2. So, [tex](x-1)[/tex] and [tex](x-2)[/tex] are the factors of the polynomial.

Let the third root of the polynomial by c, then [tex](x-c)[/tex] is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

[tex]y=8(x-1)(x-2)(x-c)[/tex]

The graph passes through the point (4,5). Putting [tex]x=4,y=5[/tex], we get

[tex]5=8(4-1)(4-2)(4-c)[/tex]

[tex]5=8(3)(2)(4-c)[/tex]

[tex]5=48(4-c)[/tex]

Divide both sides by 48.

[tex]\dfrac{5}{48}=4-c[/tex]

[tex]c=4-\dfrac{5}{48}[/tex]

[tex]c=\dfrac{192-5}{48}[/tex]

[tex]c=\dfrac{187}{48}[/tex]

Therefore, the 3rd root on the polynomial is [tex]\dfrac{187}{48}[/tex].

A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank

Answers

Plug the numbers into the formula of pi x the radius^2 times the height. This will give you pi x 36 x 2 or 72 pi. Multiply 72 by 3.14 and then multiply it by 30. This gives a cost of $6,782.40 to rent one water tank

Step-by-step explanation:

Volume of tank = (pi)×(radius squared)×(height)

= 3.14×(6×6)×2

= 3.14×36×2

= 226.08 cu.ft

Each cu.ft is rented for $30

So, for 226.08 cu.ft is,

=226.08×$30

=$6782.3

PLEASE HELP! I WILL GIVE YOU BRAINLIEST!

Answers

Answer:

sry, i am doing this for points

find the simultaneous equation 2x+5+-4+4 ​

Answers

The answer is 2
-2x + 5
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