Mathematics College

the product of two number is 20 and the sum of square is 41 find the number​

Answers

Answer 1

Let the two number is a and b

so,

product =ab=20

sum of square=[tex]\bold{a^2+b^2=41 }[/tex]

Then,

[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]

[tex]\bold{ (a+b)^2=41+2×40 }[/tex]

[tex]\bold{ (a+b)^2=81 }[/tex]

[tex]\bold{a+b=\sqrt{81} }[/tex]

[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)

Now,

[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]

[tex]\bold{ (a-b)^2=41-4×20 }[/tex]

[tex]\bold{(a-b)^2=41-40 }[/tex]

[tex]\bold{a-b=\sqrt{1} }[/tex]

[tex]\bold{a-b=1 }[/tex]••••••••(equation II)

Now,combine the equation I and equation II

we,get

[tex]\bold{a+b+a-b=9+1 }[/tex]

[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]

[tex]\bold{ 2a=10 }[/tex]

[tex]\bold{a=\dfrac{10}{2} }[/tex]

[tex]\blue{\boxed{ a=5 }}[/tex]

Then,

put the value of a in equation II.

we get that,

[tex]\bold{5-b=1 }[/tex]

[tex]\bold{b+1=5 }[/tex]

[tex]\bold{b=5-1 }[/tex]

[tex]\bold{\boxed{\blue{b=4}} }[/tex]

so,

The two number is 5 and 4.

Related Questions

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Answer:

You're supposed to start at the zero

1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1

Answers

The answer is C.2 I’m pretty sure
The answer is C!!! Make sure to like this comment please!

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure? ​

Answers

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years

Answers

A = p(1+r/n)nt A = final amount p = principal = 2000 r = interest rate = .04 n = # times compounded pet year = 2 t = time in years = 7  A = 2000(1+.04/2)2(7) A = 2000(1.02)14 A= 2638.957HOPE IT HELPS.....

Find the nth term of
1x2x3+2x5x6+3 x 4x​

Answers

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

Solve for g.
3(q - 7) = 27

g=

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27  Equation

Step 2

3(q-7)=27  Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48  Divide

answer

Q=16

Hope this helps

As per MBTI personality people work
based on hunches and feelings use
their imagination and get the main
idea while missing some of the facts
are
Select one:
a. Thinking
b. Sensing
c. Introversion
d. Intuition

= Intuition ​

Answers

Step-by-step explanation:

As per MBTI personality people work

based on hunches and feelings use

their imagination and get the main

idea while missing some of the facts

are intuition

Which expression is equivalent to w4−25w2+144
?

(w2+9)(w2−16)

(w−3)(w+4)(w−3)(w−4)

(w−3)(w+3)(w2−16)

(w2−9)(w2+16)

Answers

Sorry I’m just commenting to do it

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

1/8 y -1 +1 < -5+1
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32

3z - 3
when z = 7

pls respond asap

Answers

3 • 7=21-3=18 there urs answers

Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.

Answers

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

Select 5.3125 as a mixed number in simplest form

Answers

Fsgjkmnsffsrliu qghjkfeeefhjihg

Help pleasee needed

Answers

Answer:

Yes

AA similarity

DCE

Step-by-step explanation:

plz give thx and brainliest!

Which of the following equations was used to graph the line shown pls help

Answers

The answer is A. y=2x

yoooo i need help lmk the answers​

Answers

well the answer is 6 soo
The answer to your question is 6

500+100 = ?? A700 B800 C600

Answers

Answer:

C

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

What is the decimal equivalent of 1/18

Answers

The decimal equivalent of 1/18 is 0.125

0.125
Hope this helps!!!

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool

Answers

Point form (3,3)

x=3 , y=3

what is the point of this

Answers

Answer:

B and I are both coplanar

Step-by-step explanation:

Which statement is most likely to be true for this distribution?

A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Graph

y + 4 = 2/5 (x − 3)

Answers

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.

Answers

Answer:

348,750 dollars in 3 years

Step-by-step explanation:

   You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.

(I'm sorry if this is incorrect i tried doing the math correctly!)

Answer:

Step-by-step explanation:

I = P x r x t

p=15500

i=7.5% must change to decimal of 0.075

t= 3 (years)

In this case

I= 15,500 X 0.075 X 3=  3,487.5

(1, 162.5 x 3)= 3487.5

Solved to nearest dollar of 3,488

SUPER EASY QUESTION!!! HOW SMART ARE YOU? Which number has a 3 with a value that is 100 times greater than the value of the 3 in 20.342? Here are the answer choices choose wisely : 36.25 108.173 423.06 or 307.18

Answers

Answer:

36.25 ez I’m big brain

Step-by-step explanation:

How will increasing her salary affect the median and mean ?

Answers

Answer:

Her increasing the salary will mean

Step-by-step explanation:

5. Carolina drives on I95 for 90minutes (1.5hr) going 45mi/hr. How far did she get?

Answers

Answer:

67.5 miles far

Step-by-step explanation:

there are 8 playing cards in a bag. 2 of those cards are spades. what is the probability of picking a spade randomly from a bag?
answer as a simplified fraction in form a/b

Answers

Answer:

thanks for the points

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

4 pounds of grapes cost $11.52. what is the unit rate?

Answers

Answer: 2.88/1

Step-by-step explanation:

plz help me math work question in photo​

Answers

It’s b or a hope this helps

the answer is C.

the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm

What is the value of x, given that f, g, and h are parallel to each other?

Answers

Answer:

B)2

Step-by-step explanation:

to understand thisyou need to know about:parallel linesPEMDASlet's solve:

since f || h the length of two lines have to be equal

according to the question:

11x=7x+811x-7x=84x=8x=8/4

hence,

x=2
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