If mn = 16 and m2 + n2 = 68. then
(m + n) 2 equals​

Answers

Answer 1

Answer:

So, the value of mn is 72.

Step-by-step explanation:

Given, m−n=16 and m  

2

+n  

2

=400

We know that, (m−n)  

2

=m  

2

+n  

2

−2mn   ... (i)

By putting the given values in equation (i),

(16)  

2

=400−2mn

256=400—2mn

256−400=−2mn

—144=−2mn

72=mn

So, the value of mn is 72.


Related Questions

Help me ASAP I’ll mark you as a BL Question attached below

Answers

Answer:

I think it might be A if not then its be

Step-by-step explanation:

sorry if its not right

The sum of my digits is equal to 5

Answers

1+1+1+1+1 ...............

In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?

Answers

77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.

The number of paper newsletters the school needed is given by the equation A = 149.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

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-7 - 12 = - 7х + 3(-4 - x)

Answers

Answer: x = -1.8

Step-by-step explanation:

-7 - 12 = -7x + 3 (-4 - x)

-7x + 3 (-4 - x) = -7 - 12

P.S I switched the order cuz I find it easier to solve this way.

-7x + 3 (-4 - x) = -7 - 12

Distribute

-7x - 12 - 3x = - 7 + 13

Add 12 to both sides

-7x - 3x = -7 + 13 + 12

Combine like terms

-10x = 18

Divide both sides by -10

x = -1.8

if the original quantity is 14 in the new quantity is 24 estimate the percent change

Answers

Answer:

[tex]\% \: change = \frac{(24 - 14)}{14} \times 100 \\ = \frac{10 \times 100}{14} \\ = \frac{1000}{14} \\ = 71.43\%[/tex]

Percentage change is 71.43%.

Simplify the radical image (1)

Answers

It is definitely absolutely positively B

Need help ASAP both a and b please.

Answers

Answer:

A) In 4 hours the tempature would both be the same

B) The tempature then would be 3 degreees Fahrenheit

Step-by-step explanation:

SO for the first step just make a list

In my format

x (hour): Coldspit and Frostberg in temperature

1st hour: -4.5 and 15

2nd hour: -2 and 11

3rd hour: 0.5 and 7

4th hour: 3 and 3

Answer:

after 52/3 hours

temparature will be at -151/3

Step-by-step explanation:

y = -2.5x - 7

y = -4x + 19

-2.5x - 7 = -4x + 19

4x - 2.5x = 19 + 7

1.5x = 26

1.5x = 26

3/2x = 26/1

2/3 x 3/2x = 26/1 x 2/3

x = 52/3

y = -4x + 19

y = -4(52/3) + 19

y = -208/3 + 19

y = -208/3 + 19/1

y = -208/3 + 57/3

y = -151/3

A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 4 large boxes and 8 small boxes has a total weight of 105 kilograms. Delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms. How much does each type of box weigh?

Answers

Answer:

x = 13.25 kg

y = 6.5 kg

Step-by-step explanation:

Let

Large box = x

Small box = y

4x + 8y = 105 (1)

2x + 3y = 46 (2)

(Multiply (2) by 2 to eliminate x

2x + 3y = 46 (2) ×2

4x + 6y = 92 (3)

4x + 8y = 105 (1)

Subtract (3) from (1)

8y - 6y = 105 - 92

2y = 13

y = 13/2

y = 6.5kg

Substitute y = 6.5 into (2)

2x + 3y = 46 (2)

2x + 3(6.5) = 46

2x + 19.5 = 46

2x = 46 - 19.5

2x = 26.5

x = 26.5/2

x = 13.25 kg

f (x) = -x2 + 8x - 11
h(x) = -x-7
find f (9) + (-14)

Answers

is there a answer choice of -5

Name the property. (6x4) x3 = 6x(4x3)​

Answers

Answer:

Associative

Step-by-step explanation:

When three or more numbers are multiplied, the product is the same regardless of  the way in which the numbers are grouped.

A rectangle is formed by the intersection of the lines x = −1, y = −1, x = 5
and y = 3.

What is the perimeter and area of the rectangle?

Answers

Answer:

X angle

Step-by-step explanation:

suppose that when your fried was born, your friends parents deposited $9000 in qn account playing 3.2% interest compounded quarterly. What will the account balance be after 13 years?

Answers

Answer:

$9000 x 3.2%/Q= $288/Q

13 years = 13*4 Q= 52 Q

=> $288 x 25 Q = $14,976

The account balance be after 13 years is : $ 14,976 + $9,000 = $23,976

Step-by-step explanation:

What is probability of selecting a VOWEL in the word MATHEMATICS? Simplify your answer? I WILL MARK BRAINLIST FOR THIS!

Answers

Answer:

4/11

Step-by-step explanation:

There are 4 vowels: A, E, A, I

There are 11 characters total, so the probability is 4/11, which is simplified.

Find the sum and express it in simplest form (-y^3-y+1)+(-7y^3-6y-5)

Answers

Answer:

[tex]( - {y}^{3} - y + 1) + ( - 7 {y}^{3} - 6y - 5) \\ = ( - 1 - 7) {y}^{3} - (1 + 6)y + (1 - 5) \\ = - 8 {y}^{3} - 7y - 4[/tex]

how to slove liner equation?
for example: 3×−2=−7​

Answers

Answer:

x = -5/3

Step-by-step explanation:

3x - 2 = -7

Add 2 to both sides

3x - 2 + 2 = -7 +2

          3x  = -5

Divide both sides by 3

            3x/3 = -5/3

            x = -5/3

There are 3 blue marbles, 4 red marbles, and 5 yellow marbles in a bag. Julie pulls one marble out at a time and does not replace it. What is the probability that the first two marbles she pulls from the bag are blue?

Answers

Answer:

1/22

Step-by-step explanation:

P (blue, blue) = 3 x 2  =  6   or 1/22 simplified

                         12     11      132

Please help me thanks please

Answers

Answer: 2827 cm squared is the answer

pls help out, what is the slope?

Answers

Answer:

Slope is 1 unit

I think so as the line is accurately tangential to the circumcircle by diagonal of a unit graph and hence diameter coincides with diagonal.

A linear function has a y-intercept of -12 and a slooe of 3/2. What is the equation of the line?​

Answers

someone already made an answer for this

Write 5 pounds for $2.49 as a unit rate. Round to the nearest hundredth

Answers

Answer:

$0.50/pounds

Step-by-step explanation:

5 pounds= 2.49

1 pound = $2.29 ÷ 5 = $0.50 (nearest hundredth)

2. Draw a line 1. Draw a perpendicular to lat any point on /
is
not required)​

Answers

Hahanndmdkksooawubwnsidimw

please help me please will give brainliest to anyone ​

Answers

Answer:

D

Step-by-step explanation:

Percent =  Part/Whole x 100%

Percent =  1/24 x 100%

Percent =  4% Rounded

if f(x)=3x-2 find f-1 (13)​

Answers

Answer:

Firstly

f(x)=3x-2=y then

Interchanging x and y we get

x=3y-2

x+2=3y

y=(x+2)/3

f-1(x)=(x+2)/3

f-1(13)=(13+2)/3

f-1(13)=5

A function is defined as a relation between a set of inputs having one output each.

The inverse of function f(x) = 3x - 2 is:

y = (x+2)/3

What is a function?

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

f(x) = 3x - 2

The inverse of f(x):

step 1:

Put f(x) = y

y = 3x - 2

step 2:

switch x and y

x = 3y - 2

step 3:

solve for y

x = 3y - 2

x + 2 = 3y

y = (x+2)/3

Thus,

The inverse of f(x) = 3x - 2 is y = (x+2)/3

Learn more about functions here:

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Please guys help me I need help to get an A+

Answers

The “math sentence”: To find the answer, I need to divide the six chocolate bars by 3/4.

To model the situation, you need to draw 6 squares divided into quarters. Color in 3 of the quarters in each square.

Finally, write this for the solution sentence:
By giving 3/4 of a chocolate bar to each of her friends, Mrs. Lopes will be able to share her 6 chocolate bars with 8 different friends.


Hope you get that A+!

Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0

Answers

Answer:

  [tex]\sqrt{\frac{2x^{5} }{18} }[/tex]   = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]

Step-by-step explanation:

Given expression

            [tex]\sqrt{\frac{2x^{5} }{18} }[/tex]

we know that the algebra formula

[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]

[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]

          = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]

What is the amount of tax on a pair of boxing
gloves that costs $68.40, if the tax rate is 9%?

Answers

Answer:

68.40/100 X 109 = 74.56

74.56-68.40 = 6.16

total tax = $6.16

3 and 3/4 + 1 and 1/4

Explanations on how I can get my answer please?

Answers

Answer:

The answer for this question is 5

3.(02.07)
Two similar triangles are shown below:
a
5
6
2.5
3
Which two sets of angles are corresponding angles? (4 points)
Za and Zd; Zb and 20
Za and Zc; Zb and zd
Za and Ze; Zb and zd
d
Za and Ze; Zb and ZC

Answers

Answer A

Step-by-step explanation:

The solution is, <a and <d; <b and <c, these two sets of angles are corresponding angles. of the triangles. So, correct answer is A. <a and <d; <b and <c.

Here, we have,

When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.

The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:

<a and <d; <b and <c.

Both set of angles are congruent to each other. In other words, they are equal.

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Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2​

Answers

Answer:

Step-by-step explanation:

No matter what the value of y is, x = 2. That's exactly what the answer is.

The line is vertical and the equation is x = 2.

Write the following logarithmic expression as a single logarithm with coefficient 1. log9 − 2logk log (StartFraction 9 Over k squared EndFraction) log (9 k squared) log (StartFraction 81 Over k squared EndFraction) log (StartFraction 9 Over 2 k EndFraction)

Answers

Answer:

The answer is A.log(9/k^2)

Answer:

A)

Step-by-step explanation:

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