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

How many solutions exist for the system of equations graphed below?

Answers

i canr see the graph

15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?

Answers

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

write a paragraph to describe a time when you collaborate with a
partner or a group on a project in school. It does not have to be regarding math.
Describe the project and your experience working with a team. What were the
pros and cons? Do you prefer to work in a group or by yourself.

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

Step-by-step explanation:

I had a partner(s) work on a project in middle school. This was in social studies, and we were writing a fictional story about the life a neanderthal (butchered that word). I hated working with the people, they were fine, I just work better alone. If there are multiple things people can work on seperatly, working in a group is great. Writing a paper is horrible, I hate working in a group in that situation.

Find the slope and the y-intercept of the line.
y=-1/2x+8 PLS HEEEEEEEEEEEEEELP

Answers

Answer:

slope: -1/2

y-intercept: 8

Step-by-step explanation:

y=mx+b is the linear equation

m=slope

b=y-intercept

Convert 0.838383 into a fraction

Answers

Answer:

8jdhdhdhdhfbdudhdhdhd

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

Learn more about expressions here:

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Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?

Answers

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

3 pizzas hope this helps i’m not good at explaining

WILL MAKE BRAINLIEST
The Point of Concurrency made from medians is a(n):

Answers

Answer:

centroid

Step-by-step explanation:

A cereal factory purchases chopped
almonds in bags weighing 5 pounds
cach. A factory machine adds
pound of the chopped almonds to
each box of Almond Crunch cereal.
If the factory plans to produce 1,200
boxes of Almond Crunch cereal, how
many bags of chopped almonds does
the factory need to purchase?

Answers

Answer:

need poi

Step-by-step explanation:

Answer:

1,200 /5

Step-by-step explanation:

Help I will mark brainliestttt

Answers

Answer:

c

Step-by-step explanation:

its c

answers for the 2 boxes please :)​

Answers

(-3,-6) i hope this helps
have a great day!:)

i need help! can you also explain it?

Answers

Answer:

Number B

Step-by-step explanation:

Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,

Answers

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct

What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)

Please help

Answers

Answer:

C. (3,-2)

Step-by-step explanation:

Melanie bought 4 gallons of slime and plans to sell
them in small jars that each hold 1/4 of a gallon. How
many small jars will Melanie fill with slime?

Answers

Melanie has 16 small jar

Can someone tell me What dose Y=??

Answers

the answer to your question is y= 1/4+1x

Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?

Answers

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

What is the Equation of the Line Passes through the points (-4,8) and (1,3)

show work please, i need these asap and thx for trying :)

Answers

Answer: y = –x + 4

Explanation:

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

https://brainly.com/question/14511992

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It takes Andre 6 minutes to swim 5 laps. (a). How many laps per minute is that? Include how you arrived at your solution.

Answers

Answer:

1.2 minutes

Step-by-step explanation:

So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1.  The first step is to divide 6/5. Then you get 1.2

98.92 as a decimal to 2 places

Answers

Answer:

98.9 i think

Step-by-step explanation:

to round to 2 decimal places, look for the number 2 places from the decimal point. that number is 2. is there any number next to it on the right? no. so just round.92 which is 98.9

2 decimal places question.

98.92 would remain exactly the SAME if all u want is 2 decimal places answer

= 98.92

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)

Please help me with this question!!

Answers

Answer:acute

Step-by-step explanation:

Alright here is another question

Answers

Answer:

1/2bh, bh, s²

Step-by-step explanation:

Base x Height = area of rectangle/square, so half it (to get the triangle)

Base x Height = Area of rectangle

And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

please help

isolate x in
x+3y=1

Answers

Subtract 3y and move it to the right
X= 1 - 3Y
I think it’s X=1-3y

If 5 1/3= x/3 then x=

Answers

Answer:

x=16

Step-by-step explanation:

X is 16 love

Please mark BRAINLEST

if two angles in a triangle are 40° and 30°, then the third angle measures 110

Answers

Answer:

Si

Step-by-step explanation:

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

5

Step-by-step explanation:

13 = -2y + 8 + 3y

13 = y+8

y = 5

Find the value of x I’d appreciate if you could explain as well if not that’s fine

Answers

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

Find the angle represented by x. (rounded to the nearest tenth of a degree)

Answers

X=.5 digressed bsquare +.2= 11.23987
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