Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Answers

Answer 1

Answer:

See the solution below

Step-by-step explanation:

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Given data

Let the first number be x

and the second number be y

so

x+y= 8---------1

x*y= 17---------2

from 1

x= 8-y

put the value of x in 2

(8-y)*y= 17

8y-y^2= 17

collect like terms

y^2-8y+17= 0

Let us check the discriminant

y=  √b^2-4ac

y=   √-8^2-4*1*17

y= √64-4*1*17

y= √64-68

y= √-4

Hence the problem has no real solution because the discriminant is negative


Related Questions

10 POINTS!!!!!

A basketball rim can fit 2 basketballs, side by side, at once. If a regulation basketball has a 9-inch diameter, what is the area of the basketball rim to the nearest whole number?

Answers

the rim world be 24 inch because it’s double the size so that’s 18 plus the front and back so that’s basically 3 inches on the front and back so u would get 24

The volume of a compound shape . 10 cm & 12 cm .

Answers

Answer:

total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Step-by-step explanation:

The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.

volume of cylinder: (pi)(r^2)h

volume of sphere: (4/3)(pi)r^3

total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3

We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.

total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3

total volume = 300pi cm^3 + (250/3)pi cm^3

exact total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

what is positive slope

Answers

Answer:

A positive slope means that two variables are positively related- that is when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

anyone tell me the answer

Answers

Answer: 0.9 is the same as 9 tenths

0.009 is the same as 9 thousandths

Who can help me out with this question? The tutors haven’t been working for 3 days

Answers

Answer: Yes, the triangles are similar.

The triangles are similar due to the AAA similarity theorem.

=============================================================

Explanation:

Recall that for any triangle, the three inside angles must add to 180 degrees.

So for triangle ABC, this means that

A+B+C = 180

40+120+C = 180

160+C = 180

C = 180-160

C = 20

Similarly, we can find angle T by following these steps

R+S+T = 180

20+120+T = 180

140+T = 180

T = 180-140

T = 40

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

To summarize, we found angle C to be 20 degrees, and angle T is 40 degrees.

Now note these angle pairings in which they are the same measure

Angle A = Angle T = 40Angle B = Angle S = 120Angle C = Angle R = 20

We have three pairs of corresponding angles that are congruent. By the AAA (angle angle angle) similarity theorem, this proves the triangles are similar. We can say triangle ABC is similar to triangle TSR. The order is important so we know how the angles pair up. For instance, A and T are the first letters of ABC and TSR respectively, helping us see that A and T pair up together.

Technically the minimum amount we need is only two pairs of corresponding angles, so some math textbooks use AA instead of AAA. It's the same idea though.

Unfortunately we don't have enough information to prove the triangles congruent or not. We would need to know some information about a pair of sides. Specifically, if we had one pair of congruent sides, then we could use either ASA or AAS.

Which numbers will round to 12 when they are rounded to the nearest whole number?

Select each correct answer.

11.39

12.43

11.65

12.05

11.18

Answers

Answer:

12.43 and 11.65

Answer:

12.43

11.65

12.05

Step-by-step explanation:

if a number ends in .5 or more ex:12 it will round up. if a number ends in anything smaller than that it rounds down

PLEASE ANSWER HURRY!!

Answers

Answer:

The answer is B (4,10).

Step-by-step explanation:

Is this correct?????

Answers

Yes, it is correct good job!
Yes! That’s the correct answer

You invest $1000 in each of two accounts. Account A earns simple interest at a rate of 2.42% over four years. Account B earns simple interest at a rate of 2.42% over 24 months. Find the interest earned by the 2 accounts. HELP PLEASE

Answers

Answer:

Acct A      $96.80

Acct B      $48.40

Step-by-step explanation:

I = PRT

Acct A      I = 1000(.0242)(4)

                  = $96.80

Acct B      I = 1000(.0242)2)

                  = $48.40

-2x(2x^2+7x+8)
...................

Answers

It would be equal to −4x^3-14x^2-16x

Find the rule solve for n.
X Y
4 12
6 18
7 n
12 36

Answers

The rule is x3 (times 3)

N = 21

Hopefully this helps

Which chart could represent the function
f(x)=-2x+6?

Answers

Answer:  3

Step-by-step explanation:

am i going to fail geometry

Answers

Answer:

If you don't try yes

Step-by-step explanation:

Answer:

im not sure but you should try your best

Explanation:

A greengrocers sells mangoes for 77p each
a. how many mangoes can you get for 5 pounds?
b. how much change should you receive?

Answers

You could get 7 mangoes you would recive 38p in change

Answer:

6 mangoes

38p in return

Step-by-step explanation:

Function or not a function?

Answers

Answer:

Not a function

Step-by-step explanation:

To answer this, we first need to know what a function actually is: A function is a relation between 2 sets which relates the element of the first set to only one element of the second set.

We can see in the provided image that the value -9 is related to 2 values of the second set, hence it is NOT a set.

Another way to think about it is that a function takes an input and gives only one output (where the left set is the input and the right set is the output). Since -9 gives 2 outputs from the given relation, it cannot be a function.

Help please!!!! I’ll give Brainliest!

Answers

Answer:

-8

Step-by-step explanation:

HELP ME PLEASE HURRY UP



In the right triangle shown, what is the length of segment PQ?
P
17 cm
15 cm

Answers

Answer:

a is your answer!!

Step-by-step explanation:

Hope this Helps!!!

2.99 rounded to the nearest cent

Answers

$3.00 would be the answer your looking for

At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system. ​

Answers

Answer:

56

Step-by-step explanation:

Work out the area of the parallelogram.
Not drawn
accurately
13 cm
799
21 cm

Answers

all u do is see what looked right and add

Answer:

273

Step-by-step explanation:

area of parallelogram = b × h

13 × 21

273 cm

i hope its help u ,


Please someone help with this math problem!!!!

Answers

So it would be that you are very beautiful!

Macy's is having 25% off shoes next week. If a pair of Uggs is originally $400, what is the
sale price of the shoes?

Answers

Answer:

300 dollars is your answer

Answer:

300$

Step-by-step explanation:

400 - 100 = 300 dollars

corinna has $88. She wants to buy a $297 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour.

Answers

Answer:

sounds fun!

Step-by-step explanation:

PLEASE HELP MEEEEEEE

Answers

Answer:

False

Step-by-step explanation:

Well we can try this by putting it into the equation

4(-1)+3(5)=1

4*-1=-4

3*5=15

-4+15=1 This statement is false, -4+15 actually equals 11

The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s

Please help!!

Answers

Answer:C

Step-by-step explanation:

C. 2/3 cm/s

Please help me , at least do one and explain it please .

Answers

9514 1404 393

Answer:

113.0 cm²2464.0 in²95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

3(4x - 6) = ___ x - ___
(No solution)

Answers

Answer: you cant solve this without anything ...

Step-by-step explanation:

Answer:

i'd say 12x - 18

Step-by-step explanation:

you just multiply the outside number with both inside

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

-9 = 0.45m

Step-by-step explanation:

[tex]0.45m - 9 = 0.9m[/tex]

^ Subtract 0.45m from BOTH sides. so [tex]0.9m - 0.45m[/tex]... etcWhy? So that we can make the equation less complicated. Our goal is to isolate the variable m to be on one side of the "=" sign by itselfThat will equal to:

[tex]-9 = 0.45m[/tex]     <-- ANSWER

0.45m - 9 = 0.9m
-9 = 0.45m

If the next part asks you to solve for m, you’ll divide both sides of the equation by 0.45, and find m = -20

$4,000 principal earning 6% interest after 3 years Simple Interest

Answers

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

Smart people I need you i'll give brainlist to person who answers

Answers

Answer:

Do you think it's 60 feet^2

Step-by-step explanation:

Was it correct??

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