if the product of two number is 10 and the sum is 7 ,then the longest of the two number is​

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

So

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

[tex]10/y+y= 7\\\\10/y= 7-y[/tex]

cross multiply we have

[tex]10=y(7-y)\\\\10=7y-y^2[/tex]

rearrange

[tex]y^2-7y+10=0[/tex]

the factors of the quadratic expression are

-5 and -2

[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]

The longest side is 5 units


Related Questions

Can somebody please find the answer I will mark brainliest

Answers

Answer:

1= 102°,3=78°,4=102°

5=102°,6=78°,7=78°,8=102°

Step-by-step explanation:

Find the values or a and b​

Answers

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?

A: 2+3x+5. B: x-1+x-2+x C: -3-3x-1+x
D: 3-3x

Answers

Answer:

The correct answer would be B: x-1+x-2+x

Step-by-step explanation:

First, you would do 2+(-5), from the given equation. Then, it could be simplified to 3x-3. Then, looking at B, you would add the like terms, meaning you would add all the x´s together, and the whole numbers together, giving you 3x-3. I hope I made this easy to understand for you!

Determine whether the given value of the variable is a solution to the inequality 3b + 2 < 14 when b = 4

Answers

Answer:

I dont think it that would be the solution because 14 has to be greater and not equal.

Step-by-step explanation:

3(b) + 2 < 14

3(4) + 2 < 14

12 + 2 < 14

14 < 14

A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?


A) 18

B) 20

C) 30

D) 42


Can smb yk..

Answers

20 is the answer your welcome you will get it right don’t worry

please i need help as soon as possible

Answers

The equation of the line is y= -2x+10

First you need to find the slope of the two points.
The slope is -2

Then you use the slope intercept form to find the y intercept.
y=2x+b

You then have to plug in the x and y points.

6= -2(2) + b
6= -4+b
b=10

Lastly write using the slope intercept

y= -2x+10

Hope this helps <3

1. If you randomly select a piece of fruit from this jar, what is the P(orange)? Write answer as a simplified fraction.
2 oranges and 6 apples are in the jar​

Answers

2/8 = 1/4

1/4 is the simplest form of the fraction.

There are 2 oranges out of 8 fruits

HELP ME PLS ITS SO EASY BUT ME BAD

Answers

Answerit would be the first one

Step-by-step explanation:

250 adults were randomly selected in a grocery store they were asked how they feel about the stores coupon policy 180 were satisfied with the current policy based on the results of the sample 940 adult shop in the Store that day about how many would be expected to be happy with the current coupon policy

Answers

Answer:

870

Step-by-step explanation:

250-180=70

940-70=870

Answer:

The answer to this question is 677

Write a short free verse poem describing the panda bear in the image.

Answers

Panda bear, you sit looking at me.
Scratching your armpit, coping me.
We look into each others eyes.
Who knew love at first sight was really true.
I love you panda bear, cant you see.
Were truly ment to be.

Answer:

Its another day at the zoo

As people take photos of me

No wonder their crazy

I am just eating

My  delicious great  bamboo!

13. It takes Seymore, a slimy slug, 20 minutes to travel from his favorite bush to the local trash can (a distance of 30 meters), how far can he travel in 1 hour (60 minutes)?

Answers

Answer:

90 meters

Step-by-step explanation:

From the question we are to calculate the distance that the slug can move in 60 minutes.

From the question, we know that:

20 minutes = 30 meters

60 minutes = x meters

Cross Multiply

20 minutes × x meters = 30 meters × 60 minutes

x meters = 30 meters × 60 minutes/20 minutes

x meters = 90 meters

Omg please help ASAP!!

Answers

Answer:

try the first, fourth, and last one

Step-by-step explanation: when you read the question it say select all that apply to form the equation so all you have to do is select the numbers and the variables that are in the equation above.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression
30 points and Brainly if answer is right

Answers

5-3 = 1/125
-5-3 = -1/125
(-5-3)-1 = -125
(-5-3)0 =1

Select all ratios equivalent to 2:5

Answers

Answer:

Sorry but ummm... you forgot to add a screenshot... :/

Step-by-step explanation:

Maybe post that question again with a screenshot

Answer:

16 : 40

Step-by-step explanation:

it is the only option that will work

Can someone help me? And explain it to me pls<3

Answers

Alright, so, we know that the team started at about 9 1/2 yards right?
Well, since they lost 9 1/1 yards after, we would go negative on the number line meaning that we would move 9 1/2 spaces to the left of the number line.
Now, when we move 9 1/2 spaces to the left of the number line, we get the answer if 0.5 yards.
Glad I could help

An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.

Answers

Answer: $28,575.05

Step-by-step explanation:

Formula: FV = (1+r/n)^nt

FV = future value of the deposit

P = principal or amount of money deposited

r = annual interest rate (in decimal form)

n = number of times compounded per year

t = time in years.

3,500(1+7.25%)^30=28,575.05468

Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median

Answers

Answer:

20, 29, 30, 31, 32, 33, 34, 37

~ the median is: 31 +32 / 2 = 31.5

Step-by-step explanation:

29 27 25 23 21 19
Plz mark me as Brainly

need help asap will give brainlest

A system of______linear equations has no solution.

Answers

The answer is Stan twice

How much of the circle is shaded? Write your answer as a fraction in simplest form.
3/7 and 1/4

Answers

Answer: 19/28

Step-by-step explanation:

3/7 + 1/4

Find the LCM for 7 and 4

12/28 + 7/28 = 19/28

Absolute value is basically:


A. A number's distance from 0 on a number line


B. The greatest number on a number line

Answers

Answer:

A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.

Step-by-step explanation:

Answer:

A : a number distance form 0n the number line

Step-by-step explanation:

ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4

Carla and Andrew have 29 chocolate chip cookies. Andrew has 8 more than twice Carla’s cookies. How many cookies does each person have?

Answers

Step-by-step explanation:

29 cookies

Carla has X cookies

Andrew has 8+ 2X cookies

x + 8 + 2x = 29

3x = 29-8

3x= 21

x = 7 / Carla has 7 cookies

8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies

yo plz help I don't understand

Answers

Answer:

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so

                            [tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]

I hope this helps you

PLEASE MARK ME AS BRAINLIEST

hi, this is an ad. are you good at math? :D do you have nothing to do? :D do you like helping people? :D. if you answered yes to the very first question...help, please...I need it..... :D... :)...T n T ( also just click on my pfp and see if you can answer any of my recent math questions uh if not its fine )

Answers

Answer:

ok and ty oof

Step-by-step explanation:

Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?

Answers

Answer:

18 feet long

Step-by-step explanation:

252 ÷ 14 = 18

:)

Find the greatest odd integer value of x that satisfies the inequality -3x > -105.​

Answers

Answer:

Step-by-step explanation:

X>35

Answer:

x = -37

Step-by-step explanation:

x < -[tex]\frac{-105}{3}[/tex]

divide 105 by 3, we get -35

however the question asked for the 'greatest odd' integer 35 which is 37 since x is less than -35

7/2x + 1/2x = 10 + 9/2x

Answers

Answer:

x=-1/20

Step-by-step explanation:

7/2x+1/2x=10+9/2x

We move all terms to the left:

7/2x+1/2x-(10+9/2x)=0

Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/2x+1/2x-(9/2x+10)=0

We get rid of parentheses

7/2x+1/2x-9/2x-10=0

We multiply all the terms by the denominator

-10*2x+7+1-9=0

We add all the numbers together, and all the variables

-10*2x-1=0

Wy multiply elements

-20x-1=0

We move all terms containing x to the left, all other terms to the right

-20x=1

x=1/-20

x=-1/20

Answer:

[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]

1 whole and 9/13 divided by 1/12

Answers

Answer: 7 whole and 1/11

Step-by-step explanation: Make 1 9/13 into a improper fraction and flip 1/12 and multiple. Then simplify.

Side lengths: 24 in, 30 in, and 36 in

Answers

Volume of this is 25920 inches cubed

If the temperature is 77 F what is it in Celsius

Answers

Answer:

25 degrees celcius

Step-by-step explanation:

The first basketball player scored six points in eight minutes the second basketball player scores 10 points in 12 minutes which basketball player scores more points per minute

Answers

The second basketball player scores more because 10/12 is more than 6/8
Other Questions
what is the nearest whole percent of 31? what is the answer for 2/3 z = -6 If a triangle has three sides with the lengths 20, 16, and 12, what are the angles? Over a one week period in the summer, the price of a gallon of gas increased from $2.35 to $2.82. By what percent did the price of gas increase over that week?What is it Find the value of x in the isosceles triangle 1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair? why our country called a secular country? PLEASE HELP THANKS!!! Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)Create a circle using the center with given point tool.Use the compass tool to create three more circles, with the same radii as the first.Connect the point with a line through the center of the circle.Create another circle with the same radius as the original. What are some of the benefits and drawbacks of plastic? Use in your own words. What was El Deguello? How are the characters developed in the Passage? Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 me babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton? Write an equation in point slope form for the line through the given point with the given slope.(-7, 9); m: 4/5A. y+7=4/5(x-9)B. y-7=4/5(x+9)C. y-9=4/5(x-7)D. y+9=4/5(x-7) 4. The electric force between electric charges is much larger than thegravitational forces between charges. Why, then, is the gravitational forcebetween the Earth and the Moon much larger than the electric force betweenthem?*A. The electric force is small in comparison because charges are VERY small but thegravitational force has to do with the mass of the Earth and Moon.B. The electric charge is actually greater and the question is false.C. The phases of the Moon determine the amount of electric and gravitational force. Please someone help:) 22 lb/day ____________ oz/h what reactions do catalytic converters catalyze Can some one really help me! Match each abstract artist with the appropriate art movement.Pls help