The difference between the roots of the quadratic equation x^2-14x+q=0 is 6. Find q.

Answers

Answer 1

Answer:

The value of q is 40

Step-by-step explanation:

In the quadratic equation ax² - bx + c = 0, where

a = 1

b is the sum of its two roots

c is the product of its two roots

Assume that the roots of the quadratic equations are x and y

∵ The quadratic equation is x² - 14x + q = 0

∴ a = 1 , b = 14 and c = q

∵ b is the sum of its two roots

∵ Its roots are x and y

∴ x + y = 14 ⇒ (1)

∵ The difference between the roots is 6

∴ x - y = 6 ⇒ (2)

Now we have a system of equation to solve it

Add equations (1) and (2)

∴ 2x = 20

- Divide both sides by 2

∴ x = 10

Substitute the value of x in equation (1) or (2) to find y

∵ 10 + y = 14

- Subtract 10 from both sides

∴ y = 4

∵ c is the product of the two roots

∴ c = 10 × 4 = 40

∵ c = q

∴ q = 40

The value of q is 40


Related Questions

PLease help me. YOu'll get 10 points.\

Answers

Answer:

Option D is your answer . If I'm right so,

Please mark me as brainliest. thanks!!!

Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?

Answers

Answer:

1.17 feet

Step-by-step explanation:

28 ÷ 24 = 1.16666666667

round that and you get 1.17

1.17 feet I would think is the answer

Help Me Plz 24=6a Plz

Answers

Answer:

a = 4

Step-by-step explanation:

just divide 24 by 6

a = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

If your solving for A, A=4

Step-by-step explanation:

Divide 6 on both sides

Okay brain block alert what is 3 1/3 divided by 4 3/4

Answers

Answer:

31/3÷43/4

=31×4/43×3

=124/129

Answer:

40/57

Step-by-step explanation:

keep change flip.

change the mixed fractions to improper by multiplying the integer by the denominator and then add the numerator.

should give you an answer of 10/3 and 19/4

which when put into the fraction-division rule equals 40/57

Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?

Answers

Answer: $20.59

Step-by-step explanation:

0.13 * 6 = 0.78

25 - 0.78 = 24.22

85% * 24.22 = 20.59

ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?

Answers

Answer:

Company A = $13

Company B = $12.73

Company B

Step-by-step explanation:

To determine the unit cost for each company, divide the price of chocolate by the number of pounds

Unit cost = price ÷ total pounds offered

Company A

$32.50 ÷ 2 1/2

$32.50 ÷ 5/2

$32.50 x 2/5  = $13

Company B

$35 ÷ 2 3/4

$35 ÷ 11/4

$35 X 4/11 = $12.73

$12.73 is less than $13. Company b has a lower price per pound

Can someone help me pls

Answers

Answer:

Where's the answer?

Step-by-step explanation:

The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?

Answers

Answer:

$1.91 per bottle :)

Step-by-step explanation:

Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
please answer correctly and help me not being rude

Answers

Step-by-step explanation:

[tex]2(14 \times 2) + ((7 - 4) \times (14 - 9)) = \\ = 28 \times 2 + (3 \times 5) = \\ = 56 + 15 = \\ = 71[/tex]

please help me asap.

Answers

Answer:

21

Step-by-step explanation:

Yes I am here to help

what happened to the tutor option :(

Answers

Answer: wym

Step-by-step explanation:

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent? Choose 1 answer: Choose 1 answer: (Choice A) A Area (Choice B, Checked) B Perimeter (Choice C) C Length Stuck?Use a hint.

Answers

Answer:

The answer is choice A that is "Area".

Step-by-step explanation:

According to the area of the square [tex](A)= side^2[/tex]  

Given side =7

So, the area= [tex]7^2= 7 \times 7=49[/tex]  

29,58,116,... find the 71st term

Answers

Answer:

sorry it doesn't make sense to me either but here is a link to another one of the 71st things hopefully it helps :)

Step-by-step explanation:

https://brainly.com/question/15779922


I need help with this question can someone help me please?

Answers

Answer:

The correct answer is option D

Hope this helped you! If it did help please consider giving brainliest!

Please do not forget to give a thanks and leave a rating!

Answer:

the answer is D Have a great day

find the area of the composite figure 12 yd height 10 yd base​

Answers

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

(pythagoras theorem | year 9)

Answers

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU

Answers

Hey there!

The correct answer is 50 degrees.

To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.

A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.

In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.

Now we have all the angles in the triangle.

With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.

Have a terrificly amazing day! :D

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!

Answers

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*y

h = 3 *1/3x²y/

h = 3*1/3x²y*1/

h = 3*1/3y

h= y

Compare 6*10^5 and 3*10^4

Answers

Answer: 6*10^5 > 3*10^4

Step-by-step explanation:

6*10^5 = 600000

3*10^4 = 30000

Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77

Answers

Answer:

7^12

Step-by-step explanation:

if you are dividing the base numbers then you are subtracting the exponents

Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.


A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter


Yes, Can Change No, Can't Change

Answers

John has consumed 1,600 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,800 calories per day. How many calories does he have left to consume for the day? Is 1,000 a viable solution to this problem?

PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15


A: x2+(y+16)2 = 15−−√

B: (x+16)2+y2=15

C: x2+(y+16)2= 15

D: x2+(y−16)2 = 15

Answers

Answer:

x^2+(y+16)^2=15

Step-by-step explanation:

(x-0)^2+{y-(-16)}^e=(√15)^2

→x^2+(y+16)^2=15

Answer:

C. x² + (y + 16)² = 15

Step-by-step explanation:

Equation of circle:

(x - h) + (y - k) = r², where (h, k) is the center and r is the radius

We have:

h = 0, k = -16, r = √15

Substitute the given into the equation above and get the equation of the given circle:

(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15

Correct choice is C

Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.​

Answers

Kal is 18 Lin is 23 divide then subtract

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answers

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

can you help me answer this?

Answers

The answer is C i think.

simplify (27x^6y^3)1/3

Answers

Answer:

9(x^6)(y^3)

Step-by-step explanation:

The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
5 times
2 times

Answers

5 times.

Hope this helps!
5 times

Should be that i think

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

Sarah earned $175 babysitting for her neighbors. If she saved 40% of her money how much did she save?

Answers

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

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