Mathematics High School

6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4

​

Answers

Answer 1

Answer:

Step-by-step explanation:

hello :

6. Given One Of The Root Of The Quadratic Equation X^2- 5kx + K = 0 Is Four Times Theother Root, Find

Related Questions

More help is appreciated:))

Answers

Step-by-step explanation:

You need to translate all the points to the right 3 and up 6

Therefore, you are going to use this formula:

(x,y) ⇾ (x + 3, y + 6)

This is the same format as the previous problem, if you have noticed.

Using this, plug in each coordinate, starting with  P (5, -1)

(5, -1) ⇾ ( 5 + 3, -1 + 6)

(5, -1) ⇾ ( 8, 5 )

P[tex]^{1}[/tex] = (8, 5)

Now point Q, (0, 8)

(0, 8) ⇾ (0 + 3, 8 + 6)

(0, 8) ⇾ ( 3, 14 )

Q[tex]^{1}[/tex] = (3, 14)

And last but not least, the point R, (7, 5)

(7, 5) ⇾ (7 + 3, 5 + 6)

(7, 5) ⇾ ( 10, 11 )

R[tex]^{1}[/tex] = (10, 11)

Therefore, P[tex]^{1}[/tex] = (8, 5), Q[tex]^{1}[/tex] = (3, 14), R[tex]^{1}[/tex] = (10, 11) is your answer. This is the 4th option or D.

Hope this for you to understand this a bit more! =D

A group of 5 friends sold lemonade. If they sold each cup for $0.50 on Friday and for $0.45 on each other day of the week, how much money did each friend make if they split the money evenly?

Answers

Answer:

$5.81

Step-by-step explanation:

hiii please help i’ll give brainliest:)

Answers

Answer:

oligarchy

Step-by-step explanation:

Which transformation can be used to prove that this parallelogram is symmetrical?

Answers

is there a photo attached?
If you reflect the parallelogram, it should prove it

Plz, help everything is in the picture!

Answers

Answer:

$5469.49

Step-by-step explanation:

Year >> Starting balance >>         prt            >>         Interest                      

1                    4200         4200*1.045 = 4389          4389 - 4200 = 189

2                   4389         4200*1.045² = 4586.51    4586.51 - 4200 = 386.51      

3                   4586.51     4200*1.045³ = 4792.90   4792.90 - 4200 = 592.90

4                   4792.90    4200*1.045⁴ = 5008.58   5008.58 - 4200 = 808.58

5                   5008.58    4200*1.045⁵ = 5233.96   5233.96 - 4200 = 1033.96  

6                   5233.96    4200*1.045⁶ = 5469.49   5469.49 - 4200 = 1269.49

Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent

Answers

Answer:

Vertical angles are congruent

A cylinder with a base diameter of x units has a volume
of zor cubic units.
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is Ax2 square units.
The area of the cylinder's base is žm1x2 square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.

Answers

2nd opinion that’s your answer

Answer:

its B and E

Step-by-step explanation:

I already did the review

Alex has a pile of 2p coins. She swapped exactly half of them for the same number of 10p coins.
Now she has £4.20
How much money did alex have initially?

Answers

Answer:

£8.4

Step-by-step explanation:

Since she swapped half and now has £4.20, then multiply that by 2

                                                     4.20 × 2 = 8.4

Alex initially had £8.4

The initial amount of Alex's 2p coins is £8.40

Let the initial worth of 2p coins = y

Half of y = y/2 The value of y/2 = £4.20

The amount of money Alex had initially = y

We can then solve for the worth of y, which is the titla amount Alex had initially ;

y/2 = £4.20Multiply bith sides by 2 (y/2)×2 = £4.20 × 2 y = £8.40

Therefore, the amount of money Alex had initially is £8.40

Learn more : https://brainly.com/question/18109354

helpppp pleaseeeee.....-.....

Answers

Answer:

answer attached

Step-by-step explanation:

(-8 , 12) and (36 , -21)

You purchased a new hoodie. You found a coupon on the
internet that allowed you to take 40% off the price. The original
advertised price of the hoodie was $18.98. If the tax rate is.
6.5%, what would be the final cost of the hoodie?

Answers

Answer:

12.13

Step-by-step explanation:

18.98 take 40% off

11.39

11.39 plus 6.5 tax = 12.13

The total tax was 0.74

Hope this helps!!

Have a great day!!!!!

IM GETTING RIPPED TONIGHT R.I.P THAT ****** AYEEEE

Answers

Answer:

she not with him tonight

she not with Jim tonight

she in the gym tonight

Answer:yes

Step-by-step explanation:

5/9 - 2/5 = and what is 1/2-1/9 =

Answers

Answer: 7/45, 7/18

Step-by-step explanation:5/9 - 2/5 = 25/45 - 18/45 = 25 - 18/45 = 7/45

and 1/2 - 1/9 = 9/18 - 2/18 = 7/18

I choose four different integers. When I add all the pairs of these numbers in turn, the totals that I obtain are
23
,
26
,
29
,
32
and
35
, with one of these totals being repeated.

What is the largest of the four integers

Answers

The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The integers are 10, 13, 16 and 19 because:

10 + 13 = 23; 10 + 16 = 26; 10 + 19 = 29

Also;

13 + 16 = 19; 13 + 19 = 32 and 19 + 16 = 35

The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35

Find out more on equation at: https://brainly.com/question/2972832

Given that r = 7x+7y find x when y = 2 and r = 8

Answers

Answer:

x = -6/7

Step-by-step explanation:

We must substitute in the values and solve for x

[tex]r = 7x + 7y\\(8) = 7x + 7(2)\\8 = 7x + 14\\8 - 14 = 7x + 14 - 14\\-6 = 7x\\-6/7 = 7x/7\\x = -6/7[/tex]

Apply the distributive property to create an equivalent expression.
(15 + 10)

Answers

Answer: 5(3+2)

Step-by-step explanation: and once you distribute that it gives you (15+10) so that’s how you know it’s right hope it helped

(sorry if it’s wrong lol )

Find the mean from the following obtained marks of the student after constructing a frequency distribution table .

1,5,6,9,8,4,1,9,8,4,5,4,5,6,5,4,1,5,4,6​

Answers

Mean = 8

The mean is the average number in a sequence. To find the mean we can simply use the following equation

(Sum of all numbers) ÷ (Amount of numbers)

The sum of the given numbers is 160

The amount of numbers is 20

So the mean = 160 ÷ 20 or 8.

The coach of a baseball team counts
240 males and n females in the
bleachers. She determines that 80%
of the male and female spectators
are fans of the home team. The coach
writes an expression 0.80n + 192 to
represent the number of home team
fans. Is the coach correct? PLEASE HELPPP!

Answers

Answer:

No

Step-by-step explanation:

He is An Idiot

On Monday the price for bottled water was 2 bottles for $3.68. On Saturday the price was 5 bottles for $9.55. Which day had the higher unit price?

Answers

Answer:

Saturday

Step-by-step explanation:

Monday was 1.84

saturday was 1.91

Answer:

Saturday

Step-by-step explanation:

Monday was 1.84

Saturday was 1.91

Identify the variable expression that is not a polynomial.
O A. 3 - 2
O B. 13
O C. y + 23
O D. x3

Answers

Answer:

the correct answer is d. x^3

I think the answer is A

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

Answer:

3/4

Step-by-step explanation:

1/2 +1/4 = 2/4 +1/4 = 3/4

Answer:

I'm sorry someone answer before I could

A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x

Answers

Consider the below figure attached with this question.

Given:

A, B & C lie on a straight line. D, C & E lie on a different straight line.

[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]

To find:

The value of x.

Solution:

A, B & C lie on a straight line.

[tex]m\angle ABD+m\angle DBC=180^\circ[/tex]    (Linear pair)

[tex]y+m\angle DBC=180^\circ[/tex]

[tex]m\angle DBC=180^\circ-y[/tex]

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex]        (Exterior angle theorem)

[tex]180^\circ-y+z=x[/tex]

[tex]180^\circ-117^\circ +63^\circ =x[/tex]

[tex]126^\circ =x[/tex]

Therefore, the value of x is 126 degrees.

Which number line shows all the values of x that make the inequality -3x+1<7
true?

Answers

Answer:

D

Step-by-step explanation:

Firstly, we need to get the value of x 1-7 < 3x

-6 < 3x

-2 < x

or x > -2

So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)

Order the following expressions by their values from least to greatest​

Answers

Answer:

Step-by-step explanation:

a = -1

b = 2

c = 3

a + (-c) = -1 + (-3) = -4

Both numbers have same sign(-Ve).So add and the result will have the -Ve sign.

c - (-b) = c + b = 3 + 2 = 5

b = 2

Least to greatest: a +(-c)  , b , c-(-b)

a man saves Rs 5400 in a month which is 30% of his monthly income. how much does Spain in a month??​

Answers

Answer:

solution in attachment

hope it helps

Which of the following whole numbers has a square root between 5 and 6?

37, 44, 56, or 27

Answers

Answer:

27

I'm not sure how to explain it

if f(x) is [tex]cos x sin 3x[/tex] then f' at (π/6) is

a) 1/2
b) - √3 / 2
c) 0
d) 1
e) - 1/2

Answers

Answer:

A) 1/2

Step-by-step explanation:

Determine the volume of the rectangular prism.
​

Answers

Answer:

50 ft³

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2[tex]\frac{1}{2}[/tex] and the height is 2[tex]\frac{1}{2}[/tex]

8 × 2[tex]\frac{1}{2}[/tex] × 2[tex]\frac{1}{2}[/tex]

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2[tex]\frac{1}{2}[/tex] = 20

20 × 2[tex]\frac{1}{2}[/tex] = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

50 ft³ is our final answer

Ayana made a scale drawing of the auditorium. The scale she used was 5 inches : 3 feet. The actual length of the stage is 51 feet. How long is the stage in the drawing?
pls help me I NEED THIS ASAP

Answers

Answer:

85in

Step-by-step explanation:

Quadrilateral ABCD has vertices AC-3.6), B(6,0), C(9. -9), and D(0, -3). Prove that ABCD is a) a parallelogram​

Answers

9514 1404 393

Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That will be the case if the sums of their end-point coordinates are the same.

  A + C = (-3, 6) +(9, -9) = (6, -3)

  B + D = (6, 0) +(0, -3) = (6, -3)

Both diagonals have their midpoint at (3, -1.5), so the diagonals are mutual bisectors. The figure ABCD must be a parallelogram.

___

The midpoint of AC is (A+C)/2 = (6, -3)/2 = (3, -1.5).

Abel is 12 years old and Gino is 8. They share 15 apples in the ratio of their ages. How many does each get?

Answers

Answer:

Abel gets 9 apples while Gino gets 6 apples.

Step-by-step explanation:

Total age = 20 (Abel's age =12 + Gino's age =8)

Abel's share =

[tex] \frac{12}{20} \times \frac{15}{1 } = 9[/tex]

Gino's share =

[tex] \frac{8}{20} \times \frac{15}{1} = 6[/tex]

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