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

question is in the photo​

Answers

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

What is the equation of a line when the slope is -1/2 and the y-intercept is 0.

Answers

Answer:

y = -1/2x + 0

y = mx+b

Step-by-step explanation:

(12x -2) - (-3x + 4) anyone got the answer?

Answers

Answer:

15x - 6

Step-by-step explanation:

(12x -2) -1 (3x+4)

(12x - 2 + 3x-4

12x-2+3x -4

12x -6 + 3x

15x - 6

If X:Y = 4:5 and x+y=144, then the values of x and y respectively are
A= 74 and 70
B= 70 and 74
C= 80 and 64
D= 64 and 80​

Answers

Answer:

b

Step-by-step explanation:

domt knowsjsbjsodnsodndjdns

Find the difference of 58.2–27.674.
a. 30.652
b. 30.526
c. 35.026
d. 35.620

Answers

Answer:

B

Step-by-step explanation:

You just subtract

what number is 1/4 of 100

Answers

The number is 25
100/4

Please help! I’ll make brainliest

Answers

Answer:

Step-by-step explanation:

i think its The measure of bottom of ladder from bottom of building is 48

Answer:

48

Step-by-step explanation:

Hope it helps XD

Write the equation of the line that passes through the points (3,7) and (3,-8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

It a vertical line x=3.

Step-by-step explanation:

Hope this helps!

Combine the like terms for the following expressions -3+4b-6g+5-7b

Answers

Answer:

-3b-6g+2

Step-by-step explanation:

if you combine like terms, it would be -3b-6g+2

Amanda's computer weighs 56 ounces. How many pounds does it weigh? Amanda's computer weighs______pounds. What is the answer ?

Answers

Answer:

Amanda's computer weighs 3.5 pounds

Step-by-step explanation:

Please answer. Mb bro.

Answers

Answer:

you know this was learned in 5th grade right

Step-by-step explanation:

Not totally sure but you’d do something like this -

108 = (2x + x) 8 / 2

Please help

The perimeter of a quadrilateral is 336.
The ratio of the sides is 2: 3: 2: 5. Find
the side lengths.

Answers

Just trying to win the CONTEST BUT GOOOOD LUCK

Answer:

56 units, 84 units, 56 units, 140 units

Step-by-step explanation:

Since you have the ratios, you can multiply each by x, because you do not know the actual values.

2x+3x+2x+5x=336

12x=336

÷12  ÷12

x=28

Then, plug in the values of x.

So 2*28= 56

3*28=84

2*28=56

5*28=140

A student plays a total of 20 rounds of rock paper scussordbhe wins 75% of them. How many rounds did he win

Answers

Answer:

15 rounds

Step-by-step explanation:

Change 75% into a decimal (0.75).

Multiply 20 by 0.75.

When doing so, you get 15 rounds.

To check this: 15/20 = 3/4 = 0.75

Answer:

if that student is scussordbhe then they won 15 rounds, if they arent they won 5.

Step-by-step explanation:

3 to the power of 15 is how many times larger than 3 to the power of 12

Answers

Answer:

27

Step-by-step explanation:

[tex] \dfrac{3^{15}}{3^{12}} = 3^{15-12} = 3^3 = 27 [/tex]

Answer: It is 27 times larger.

Answer:

3 to the 15 power is 14,348,907. 3 to the 12 power is 531,441 and 531,441 x 27 is 14348907 the same as 3 to the 15 power.

Step-by-step explanation: soooooo just control C control V the answer.

What is a nickname for a rotation and what is a nickname for a reflection. Math

Answers

Answer:

reflection-FLIP rotation- SPIN or

TURN

Step-by-step explanation:

Can somebody help me. Will Mark brainliest.

Answers

Answer:

Step-by-step explanation:

cos(x) = 21/38

x = arccos(21/38) ≅ 56°

Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
and passes through the point (7, 10)?

Answers

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

Mya and her three friends bought 7 1/5 pounds of cherry sours at 1.30 per pound. If the cost of cherry sours id divided evenly among the 4 friends, how much will each person pay

Answers

Answer: Each person will pay $2.34.

Step-by-step explanation:

Given: Cost of one pound of cherries = $1.30

Cost of [tex]7\dfrac15[/tex] pounds of cherries  = [tex]7\dfrac15\times 1.30[/tex]

[tex]=\dfrac{36}{5}\times1.30[/tex]

= $9.36

Each person will pay = (Cost of [tex]7\dfrac15[/tex] pounds ) ÷ 4

[tex]=9.36\div4[/tex]

=$2.34

Hence, Each person will pay $2.34.

The first step to use to solve for the missing side?

Answers

Answer:

9√2.

Step-by-step explanation:

Distance of the diagonal

= √(9^2 + 9^2 )   (Using Pythagoras Theorem)

= √(162)

= 9√2

HELP ASAP!!!!! A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Which equation results from applying the secant and tangent segment theorem to the figure?

12(a + 12) = 102
10 + 12 = a2
10(a + 10) = 122
10(12) = a2

Answers

Answer:

C)

10(a + 10) = 12 2

Applying the secant-tangent segment theorem, the equation that will result using the figure given is: C. 10(a + 10) = 12².

What is the Secant-tangent Segment Theorem?

The secant-tangent segment theorem states that if a tangent and a secant intersect at a point outside a circle, then the square of the measure of the products of the secant segment and its external secant segment equals the square of the measure of the tangent segment.

Thus, using the figure given, the equation that results from applying the secant-tangent segment theorem would be: C. 10(a + 10) = 12²

Learn more about the secant-tangent segment theorem on:

https://brainly.com/question/26826991

#SPJ2

Anyone knows the answer pls ????

Answers

The answer is 2.5 x 10^-15

Hope this helps.

What is X...

What is Y....

Answers

Answer:

x = 110

y = 40

Step-by-step explanation:

m∡5 = 30° because it forms a linear pair with ∡6, which is 150°

x + y = 150  (angles 4 and 6 are alternate-interior and are congruent)

angles 3 and 6 are same-side interior and are supplementary

therefore:  x -2y = 180-150

if x + y = 150 we can say that x = 150 - y

we can plug '150-y' for 'x' in x - 2y = 30

150-y - 2y = 30

-3y = -120

y = 40

x = 110

1. Simplify each of the following.
(a) 4(6-1)-9​

Answers

answer: 11
explanation: trust me bro

Answer:

11

Step-by-step explanation:

4 (6-1)-9

4 (5) - 9

20 - 9

= 11

A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high, what is its surface area?

Answers

Answer:

36

Step-by-step explanation:

Find X pls thanks so much

Answers

Answer: X= 16.83 or 17 rounded

Step-by-step explanation:

Sin63 degrees= 15/x so to solve for x divide 15 by sin 63

[tex]\frac{15}{sin63}[/tex]=16.83

The price of the shirt is 40$ the sales tax is 8%
how much will he pay in taxes for the shirt
A. 8.00
B. 3.20
C.48.00
D. 5.20

Answers

Answer:

40*.08=3.2

$3.2

Answer:

B

Step-by-step explanation:

40 times 0.08%= 3.20

Complete the statements about the cone.
The height is units.
The radius is units.
The volume is Tot cubic units.
10
6

Answers

Answer:

The answers are:

The height is 6

The radius is 8

The volume is 128 π cubic units.

Step-by-step explanation:

The height is shown in the picture. So the first answer is 6.

To find the radius, you use the equation. [tex]\sqrt{slant height^{2}- height^{2} }[/tex] = radius

The slant height 10, and the height is 6. So you plug those into the equation and solve.

[tex]\sqrt{10^{2}-6^{2} }[/tex] =

[tex]\sqrt{100-36}[/tex] =

[tex]\sqrt{64}[/tex] = 8

So the radius is 8.

Now we use the equation [tex]\pi[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex] = volume.

[tex]\pi[/tex][tex]8^{2}[/tex] [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex]64 [tex]\frac{6}{3}[/tex] =

[tex]\pi[/tex] 64(2) = 128 [tex]\pi[/tex] cubic units

I hoped this helped you. I would love brainiest.

The statements about the cone is that,

The height is 6 units, the radius is 8 units and the volume is 128π cubic units.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given a cone.

We have to find the complete the statements related to the cone.

From the figure,

height of the cone = 6 units

Using the Pythagoras theorem,

Radius of the cone = √(10² - 6²) = 8 units

Volume of the cone = 1/3 π r² h

                                 = 1/3 π × 8² × 6

                                 = 128π cubic units

Hence the height, radius and volume of the cone are 6 units, 8 units and 128π cubic units respectively.

Learn more about Volume here :

https://brainly.com/question/13338592

#SPJ5

Either enter an exact answer in terms of T or use 3.14 for 7 and enter your answer as a decimal.
d=2

Answers

Answer:

N CCX  XN

Step-by-step explanation:

What is the height of the pile of books located on the lawn?

Answers

Step-by-step explanation:

[tex] \tan( \alpha ) = \frac{8}{18} = \frac{8 + 15}{x} \\ \frac{8}{18} = \frac{23}{x} \\ 8x = 414 \\ x = 51.75[/tex]

the table shows running speeds of 10 randomly selected lions.

speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data

select the most reasonable prediction about the speed of the lion

A. the top speed of a lion is 48 miles per hour.
B. the typical lion runs at a speed of about 46 miles per hour.
C. the typical lion runs at a speed of about 40 miles per hour.
D. the typical lion runs at speeds greater than 50 miles per hour.

Answers

Answer:

I think B

Step-by-step explanation:

Find the average

Answer:

B

how i know: i took the test

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