Find two real numbers that have a sum of 8 and a product of 13

Answers

Answer 1

Answer:

The two numbers are 5.73 and 2,27

Step-by-step explanation:

Let the two numbers be x and y

[tex]x + y = 8[/tex]

[tex]xy = 13[/tex]

Make x the subject in the first equation

[tex]x = 8 - y[/tex]

Substitute 8 - y for x in the second equation

[tex](8-y)*y = 13[/tex]

Open brackets

[tex]8y - y^2 = 13[/tex]

Equate to 0

[tex]y^2 - 8y + 13 = 0[/tex]

Solve using quadratic formula

[tex]y = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]   [tex]b = -8[/tex]    [tex]c = 13[/tex]

So:

[tex]y = \frac{-(-8) \± \sqrt{(-8)^2 - 4*1*13}}{2*1}[/tex]

[tex]y = \frac{8 \± \sqrt{64 -52}}{2}[/tex]

[tex]y = \frac{8 \± \sqrt{12}}{2}[/tex]

[tex]y = \frac{8 \± 3.46}{2}[/tex]

Split

[tex]y = \frac{8 + 3.46}{2}[/tex] or [tex]y = \frac{8 - 3.46}{2}[/tex]

[tex]y = \frac{11.46}{2}[/tex] or [tex]y = \frac{4.54}{2}[/tex]

[tex]y = 5.73[/tex] or [tex]y = 2.27[/tex]

Recall that

[tex]x = 8 - y[/tex]

When [tex]y = 5.73[/tex]

[tex]x = 8 - 5.73[/tex]

[tex]x = 2.27[/tex]

When [tex]y = 2.27[/tex]

[tex]x = 5.73[/tex]

Hence, the two numbers are 5.73 and 2,27


Related Questions

evaluate 5.6t for t = 0.7​

Answers

Answer:

3.92

Step-by-step explanation:

.7*5.6=3.92

hope that helps!

Question 12. How much more will her shirt cost in Union City than in River 10 points
City? A $0.01 B $0.05 C $0.10 D $25.80 *

Answers

Step-by-step explanation:

we need the whole question

Answer:

Need more explanation

Step-by-step explanation:

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

$184 for 8 tickets!

To find the unit price you divide 115/5 to get 23. $23 is the price of each ticket. You then times 23 by 8 to get $184.

Answer:

184$

Step-by-step explanation:

23$ per ticket

8 tickets = 184$

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Find the third side in simplest radical form:

Answers

Answer:

br515898 avatar

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! thx

Step-by-step explanation:

also this not mine O-O

what does SOH,CAH,TOA mean?​

Answers

Answer:

Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent

Can someone help me find x.

Answers

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

5. Jessica rode her bike 3 miles on Thursday and 4 miles on Friday. On Saturday, she rode twice as many miles as she rode on the first two days. How many miles did Jessica ride her bike on Saturday?
A. 7 miles
B.9 miles
C. 14 miles
D.6 miles

Answers

Answer:

C : 14 miles

Step-by-step explanation:

3 + 4 =7

7 × 2 = 14

Answer:

c. 14 miles

Step-by-step explanation:

you add the 3 miles plus the 4 miles and multiply it by 2

3*4= 7 *2

The ratio of two computers is 3:2.

1.If the first computer costs 55000/=,what is the price of the second computer?

2.If the price of 2nd computer is 2000/= more,what is the ratio of. the computers?

Need it for test​......

Answers

Answer:

36666.66 units

Step-by-step explanation:

Let the cost of computer 1 is 3x and that of 2 is 2x.

Cost of first computer = 3x

55000 = 3x

x = 18333.33

Cost of second computer = 2x

= 2(18333.33)

= 36666.66

Henc, the cost of the second computer is 36666.66 units.

Help meeeeeee! If it’s correct you will get a something good!

Answers

Answer:

24/4=6

Step-by-step explanation:

In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.

HTH :)

ANSWER QUICK PLEASE!!!! BRAIN LIST AND POINTS

Find the measure of x
Q
s
15(x+1)
150
T
Ox=1
Ox=9
-Ox=10
Ox=11

Answers

Answer:

x = 9

Step-by-step explanation:

The two angles are alternate exterior and has same measurement

15(x+1) = 150 divide both sides by 15

x + 1 = 10 subtract 1 from both sides

x = 9

What is the equation of the line with a slope of 1/2 that passes through the point (-8, -2)?

Answers

Answer:

The answer is

[tex]y = \frac{1}{2} x + 2 \\ [/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 2 = \frac{1}{2} (x + 8) \\ y + 2 = \frac{1}{2} x + 4 \\ y = \frac{1}{2} x + 4 - 2[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x + 2 \\ [/tex]

Hope this helps you

find the two partial products in the multiplication problem.
230x33
Plz help me and take your time on this i'm in no rush <3

Answers

Answer:

690 and 6,900

Step-by-step explanation:

     230

x      33

______

     690

+   6,900

________

    7590

PLEASE HELP ASAP!! AND PLEASE SHOW ALL WORK THANK YOU!! 10x + 5 + 3x +1 =

Answers

Answer:

13x + 6

Step-by-step explanation:

10x + 3x + 5 + 1

13x + 5 + 1

13x + 6

You just combine like terms

Answer:

The answer is 53

Step-by-step explanation:

= 10x*5+3x*1

= 50x+3x*1

= 50x+3x

= 53x

An architect's scale drawing of a new school is 8,4 inches
long. The scale used in the drawing is 2 inches = 8 feet,
What is the actual length, in feet, of the school?

Answers

Answer:

Step-by-step explanation:

2=8 feet sooo

8/4=2 2x2=4 4x8= 32 4x4=16 sooo 32, 16 feet :) hope dis helps

What is the equation in slope-intercept form for the line that passes through the points (−2, −1) and (1, 5)?
A. y = 2x − 3
B. y = 2x + 3
C. y = −2x − 3
D. y = −2x + 3

Answers

Answer:

y=2x+3

Step-by-step explanation:

we know the slope is 2

now we are going to find b

-1=2(-2)+b

-1=-4+b

-1+4=3

3=b

Which of the following sets of side lengths would form a triangle? Check all that apply.

10, 9, 13
6, 13, 8
10, 19, 9
12, 10, 8
6, 4, 15

Answers

Answer:

Step-by-step explanation:

a, b, c

a + b > c

a + c > b

b + c > a

1). Yes, would form.  

2). Yes, would form.

3). No, would not form. 10 + 9 = 19

4). Yes, would form.

5). No, would not form. 6 + 4 < 15

Can someone help me please

Answers

The correct answer is:

b. 2.8

A student wants to graph his earnings for each week during the next calendar year. He wants to see how his earnings change
from week to week as the year goes on. Which type of graph is the most appropriate?
line graph
O circle graph
box-and-whisker plot

Answers

Answer:

Step-by-step explanation:

Line graph

The line graph is the most appropriate.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

To monitor changes over both short and long time periods, line graphs are utilized. Line graphs perform better than bar graphs when there are smaller changes. Line graphs can be used to compare changes for multiple groups over the same time period.

Therefore, the line graph is the most appropriate.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ5

|2| + |-13| =

BRAINLIST AND EXTRA POINTS

Answers

Answer:

15

Step-by-step explanation:

|2| + |-13| =

2+13

15

Answer:

I think I might be 15

Step-by-step explanation:

I looked it up on google

there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats are there

Answers

Answer:

553 beats

Step-by-step explanation:

Which of these sets of measurements represents the lengths of the sides of a right triangle?

a. (10, 24, 26)

b. (5, 12, 24)

c. (12, 18, 30)

d. (1, 2, 9)

Answers

Answer: The answer is B, just had this answer today, teacher said it was correct.

Can someone please help me out

Answers

Answer:

1.5 lb/person

Step-by-step explanation:

All that is shown is a 12-lb turkey being used for 8 people.

Since you want the unit rate of pounds per person, divide the number of pounds by the number of people.

12 lb / 8 people = 1.5 lb/person

175+14.25x=200+11z solve the problem

Answers

Answer:

x = 7.69

Step-by-step explanation:

We need to solve the given problem. It is as follows :

175+14.25x=200+11x

Here, x is a variable. We can take on one side of an equation and constants to the other side such that,

14.25x-11x = 200-175

3.25x=25

x = 25/3.25

x = 7.69

Hence, the solution of the given equation is 7.69.

Coach DeCaro records the cross country runners' times compared to their personal best times.
Runner
Gregor
Hiroki
Isabelle
Juan
Karen
3K Times
Time compared to
personal best
+5.6
-11.6
+3.2
0
-5.2
Which runners ran slower than their personal best?
O Juan
O Gregor and Isabelle
Gregor, Isabelle, and Juan
O Hiroki and Karen

Answers

Answer:I think its C but Im not sure

Step-by-step explanation: SMILE MORE!!! :D

Answer: Option B

( ik it's late but i needed the points lol)

Step-by-step explanation:

I got it right on my unit test on edge2021

question is in png pls some1 help !

Answers

Answer:

Triangle x = 30. Pentagon x = 50

Step-by-step explanation:

For the triangle,

Find the angle which is beside x in the triangle,

let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)

110 + y = 180

Y = 180 - 110

y = 70

Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180

x = 180 - 70

x = 30

For the pentagon,

Again find the angle which is beside x in the pentagon,

let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180)  + 90 + y = 540

210 + 200 + y = 540

410 + y = 540

y = 540 - 410

y = 130

Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180

x = 180 - 130

x = 50

Hope this helps!

The person above me is right, brainliest her/ or him

There are 5 rows of chairs with c chair in each row. Choose the expression that shows the number of chairs in total

Answers

Answer:

5(c)

Step-by-step explanation:

The number of chairs are being multiplying by each row.

If you need more help here's info.

Long multiplication is a method of multiplying two numbers which are difficult to multiply easily.

For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer.

55 × 2 = 110 and 55 × 20 = 1100.

But, many a time finding the product is not this easy. At such times we use the long method of multiplication.

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

5)c
Get it on Edge2020
Hope this help<3

Answer this question correctly

Answers

Answer:

x = 3 - 3/2y

y = 2 - 2/3x

Step-by-step explanation:

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3/2y

2x + 3y = 6

3y = 6 - 2x

y = 2 - 2/3x

Answer:

Slope=−1.333/2.000=−0.667

x−intercept=3

y-intercept=2

Step-by-step explanation:

HOPE THIS HELPS!!

see the image bellow please help 30 points

Answers

The answer is 173 cubic inches

Cody plays an online game that allows users to trade points earned from the game for pieces of gold that could be used as currency to trade among players. The function P(g)=−50g+14,590 represents the number of points, P, Cody has after purchasing g pieces of gold. What does the y-intercept of P(g) represent for this situation?

Answers

Answer:

The y intercept is 1450

Step-by-step explanation:

Given

[tex]P(g) = -50g + 14590[/tex]

Required

Determine the y intercept

To answer this question, we need to understand the general form of a linear equation.

This is:

[tex]f(x) = mx + b[/tex]

Where b represents the y intercept

By comparing [tex]f(x) = mx + b[/tex] to [tex]P(g) = -50g + 14590[/tex], we have that:

[tex]b = 14590[/tex]

This implies that the y intercept is 1450

Enter the desimal equivalent of 6
Plz hurry

Answers

Answer:

0.06*

Step-by-step explanation:

*Assuming you mean 6%

6 percent can be written as 6/100, or six hundredths.

In decimal form, six hundredths is .006.

HTH :)

Other Questions
Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He pick:3 times as many cola bottles as smarties. He also picks twice as many smarties asmarshmallows. What proportion of the bag of sweets are cola bottles?Give your answer in its simplest form. HELP NEEDED ASAP will give brainliest and 5 star vote Fill in the blanks please Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day? 50pounds to 35 pounds If The Base Of A Triangle Is 6 cm And Its Hypotenuse Is 10cm, Then Find Its Area Pls Reply ASAP PLLLLEEEEEEAAASSSSSSSSEEEE help it is easy but I am just tired Determine which of the lines, if any are perpendicular. Line a passes through (2, 10) and (4, 13).Line b passes through (4, 9) and (6, 12).Line c passes through (2, 10) and (4, 9). 76. What is the literary term for the person who is telling a story?O authorO narratorO main characterO hero Why is an environmental contingency plan important? a.An environmental contingency plan is important to assess the effort required to make environmental changes.b.The effects of environmental changes cannot be determined with certainty, so contingency plans are necessary to effectively deal with unexpected changes.c.New environmental conditions cannot be developed without the existence of an environmental contingency plan.d.All of the aboveis this (A) (B) (C) (D) like can someone please say how to wash jrotc uniform?( khaki uniform)I'm a ns1 and I'm scared I mess it up so plz tell me what type of water to wash it with and what setting. i do not want to pay $300 for this What is one requirement for achieving Continuous Deployment 3y + 4x =15y = 2x 3x +5 ( 144 + 6 x 8 ) 3 = g question 6 please help me ill give brainliest answer whats 1+1?I would also like an explanation on how you found the answer too thanks You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit. The monthly cost for Average Joes is $32 with unlimited visits. To make orange fizz, Noah mixes 2 scoops of powder with 6 cups of water. Andre mixes 4 scoops of powder with 18 cups of water. Which mixture is more orangey flavored?i need it ASAP PLEASE HELP ME WITH THIS PROBLEM! Antione swam 42 laps in 7 minutes. Frank swam 48 laps in 8 minutes. Arethese rates equivalent? Explain your reasoning.Yes, these rates are equivalent because the unit rate of 9 laps per minute matcheseach rate.No, the unit rates are not equivalent.O Yes, these rates are equivalent because the unit rate of 6 laps per minute matcheseach rate.Yes, these rates are equivalent because the unit rate of 8 laps per minute matcheseach rate. HELP ME PLEASE 30 points !! Parallelogram R S T U is shown. Angle S is 70 degrees.What are the missing angle measures in parallelogram RSTU?mR = 70, mT = 110, mU = 110mR = 110, mT = 110, mU = 70mR = 110, mT = 70, mU = 110mR = 70, mT = 110, mU = 70