If a²+b²=74 and ab=10 find the value of (a-b)²​

Answers

Answer 1

Answer:

54

Step-by-step explanation:

(a -b)²

= a² -2ab +b²

= a² +b² -2ab

= 74 -2(10) (subst. value of a²+b² and ab)

= 74 -20

= 54


Related Questions

what is the ratio of 3:4

Answers

The simplified or reduced ratio "3 to 4" tells us only that, for every three men, there are four women. The simplified ratio also tells us that, in any representative set of seven people (3 + 4 = 7) from this group, three will be men. In other words, the men comprise 73 of the people in the group.

Hi there!

Answer:

[tex]\boxed{6:8}[/tex]

Step-by-step explanation:

3 : 4 = 600 : 800

[tex]3 : 4 = 1 : 1.3333333333333= 0.75 : 1[/tex]

[tex]3\\3 + 4\\= 42.857142857143%[/tex] ( don't mind theis part because idk how make the chart )

Have a great day/night!

Graph the line given by the equation. HELP HAVING BAD DAY
y=3x−2

Answers

Step-by-step explanation:

Hey there!

The given equation is;

y = 3x - 2

Make table for"X" and "y"

x = 0 1 2

x = -2 1 4

Now;

The coordinates are; (0,-2) , (1,1), (2,4).

After that plot them on graph.

Hope it helps...

1. 4 ⅙ ÷ 5
2. ⅝ ÷ ¾
3. ⅗ ÷ ⅜
4. ⅜ ÷ ⅝

i am dying help me.

Answers

Answer:

number 1 is 0.83333333333

Step-by-step explanation:

Answer: 1. 0.83 or fraction: 5/6

2. 0.83 or fraction: 5/6

3. 1.6 or as a fraction: 1 and 3/5 or improper: 8/5

4. 0.6 or as a fraction: 3/5

Hope this helps! :)

Division by zero is allowed only when combined with the distributive property. True or False?

Answers

It’s false because you can never divide by zero unless it’s a fraction then it’d be automatically 0

Answer:

Falseeeeee

Step-by-step explanation:

The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the clustering estimation technique, what is the approximate total weight of the grapefruits?
34 ounces
35 ounces
35.45 ounces
35.5 ounces

Answers

Answer:

The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.

If you add all the grapefruit weights then you would get an exact answer

would be 35.45

Answer:

B  35

Step-by-step explanation:

have a good day! <3

what is the answer is of it tell me fast

Answers

Answer :

Given -

Books read by aya = 5 Total number of books read by them = 14

To find -

How many books does luka reads.

Solution -

Here, total number of books is 14 and books read ny aya is 5 . To find the luka reads We'll subtract total number of books read by them from books read by aya.

→ 14 - 5

→ 9

Therefore, 9 books read by luka.

A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.

Answers

Answer:

-2

Step-by-step explanation:

Y=500+250x

The graph shows the linear relationship between Elevation in feet and distance along trail in miles.

Intercept = 500 feets Slope = 250 (positive) y = 500 + 250x

The intercept is the point where the regression line intersects the y - axis.

From the graph, the intersect is 500 feets

From the graph, the slope is positive, as elevation increases with distance.

The slope = Rise ÷ Run

Slope = (2500 - 500) ÷ (8 - 0)

Slope = 2000 ÷ 8

Slope = 250

The regression equation written in the form :

y = a + bx a = intercept ; b = slope y = 500 + 250x

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Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for the extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.) If Devon works 48 hours in one week, how much would he earn that week?

Answers

Answer:

1960

Step-by-step explanation:

40 times 35 = 1400

8 times 2 times 35 = 560

1400+560=1,960$

When Devon works for 48 hours in one week the total amount he earned that week is equal to $1960.

To calculate Devon's earnings for the week when he works 48 hours,

Consider his regular pay for the first 40 hours and then the "double time" pay for the additional 8 hours.

Regular pay for 40 hours: Devon earns $35 per hour for a regular 40-hour work week.

Regular pay = $35/hour × 40 hours = $1400

Overtime pay for the additional 8 hours: Devon works 48 hours in total, so he works 8 hours over the regular 40-hour work week.

For these 8 hours, he earns "double time," which means his hourly rate is doubled.

Double time rate = 2 × $35 = $70/hour

Overtime pay

= Double time rate × Number of overtime hours

= $70/hour × 8 hours

= $560

Total earnings for the week: To find the total amount earned in the week, add the regular pay and the overtime pay.

Total earnings

= Regular pay + Overtime pay

= $1400 + $560

= $1960

Therefore, if Devon works 48 hours in one week, he would earn $1960 that week.

learn more about works here

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#SPJ2

Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer:

ΔS = 1/2gt²

Step-by-step explanation:

Given

Initial height of the ball = 3 feet

Maximum height of the  ball = 403 feet

To get the function that best suits the situation after t seconds, we will use the equation of motion;

ΔS = ut + 1/2gt²

ΔS is the change in height

u is the initial velocity of the body = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken for the ball to reach its maximum height.

ΔS = 403-3

ΔS = 400ft

Substituting the given values into the formula;

ΔS = ut + 1/2gt²

400 = 0 + 1/2(9.81)t²

400 = 4.905t²

t² = 400/4.905

t² = 81.55

t = √81.55

t = 9.03secs

The situation that best model the situation is ΔS = ut + 1/2gt²

ΔS = 0 + 1/2gt²

ΔS = 1/2gt²

Raul is helping to make dinner for his family. To make a sauce for the chicken, he will use 1/3 cup of broth per serving of
chicken. He has a container with 1 3/4 cups of broth left.
How many servings of chicken can Raul make sauce for?
A.) 3 servings of chicken
B.) 4 servings of chicken
C.) 5 servings of chicken
D.) 6 servings of chicken
Please help..

Answers

Answer:

b

Step-by-step explanation:

i need help! I have 0 idea how to get the answer or anything

Answers

Answer:

2x +110= 180

2x=70

x=35

Step-by-step explanation:


Mr. Lucas bought a new television for his game room. The one he chose was $950. He had to pay a
sales tax of 8.2%. What was the amount of sales tax he paid on the television?

Answers

He would have paid $77.90 in tax. However, the overall price ( including tax) would be $1,027.90. Hope this helps

ILL MAKE BRAINLIEST TO WHOEVER ANSWERS FIRST!!

Triangle ABC is given by the points A(1, 1), B(3, 2), and C(2, 3). Find the rule of transformation if the
image has points A' (2, 2), B'(6,3), and C'(4,4).
A
(x,y) → (2x, 2y)
B
(x,y) → (X,Y + 1)
(x,y) → (2x,y + 1)
D
(x,y) → (2x,y)

Answers

Answer: the answer should be c

hope this helps :)

Select all true statements.

A. All rectangle are squares.

B. All rectangle are parallelograms.

C. All rhombus are parallelograms.

D. All squares are rectangle.

E. All squares are rhombuses.

F. All trapezoid are parallelograms.​

Answers

Answer:

A is correct and .. AAAAA

Step-by-step explanation:

A

Answer:

A. is is the one that is correct

The domain for the graph (in interval notation) is

Answers

Answer:

Domain: [-3, 1]

Step-by-step explanation:

Doman is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:

[-3, 1] or -3 ≤ x ≤ 1


What is y + 3 = 7(x − 2) written in standard form?

Answers

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Which statement most reasonably explains the hours when zero calls were received? Medera turned the phone off while playing in a soccer game. Medera's phone can only receive 22 calls a day. Medera only receives calls in clusters. Medera lost her phone for two hours.

Answers

Answer:

Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

From the possible scenarios provided the one that would indicate this would be when Medera turned the phone off while playing in a soccer game. This is because since her phone was off it was not getting any phone signal which means that no incoming calls would have been received during that time. When Medara lost her phone for two hours, even though she did not have it on her the phone was still on and connected to a network which means that the calls were coming in.

help please! I’ll mark you as brainliest!

Answers

Answer:

kidnapping children is illegal in colombia

Step-by-step explanation:

not here because i have 7 kids in my basement and not once have i had the police called on me

HELP HELP HELP DUE IN TEN MINS

Answers

I believe it’s 7 seconds away

6 seconds, i think

sry if im wrong


(Simplify)
5(13+5x)

Answers

Answer:

ALSO LOVE THESE

Step-by-step explanation:

Multiply 5 by what is in the parenthasees

65 + 25x

Answer:

65+25x or 25x+65

Step-by-step explanation:

A scuba diver descended to an elevation of 250 feet, examined some coral, and then ascended 14 feet to observe a school of clownfish. At what elevation was the school of clownfish

Answers

Answer:

264 feet.

Step-by-step explanation:

add 250+14=264

Tom needs to paint a straight fence consisting of 6 panels. He has green, red, and magenta paint, and each panel should be painted with only one color.
How many ways are there to paint the fence?

Answers

Answer:

Total number of ways = 20

Step-by-step explanation:

Given:

Total number of panels = 6

Total number of color = 3

Find:

Total number of ways

Computation:

Total number of ways = ⁶C₃

Total number of ways = !6/!(6-3)!3

Total number of ways = !6/(!3)!3

Total number of ways = 20

Answer:20

Step-by-step explanation:

idk

What are the solutions of the quadratic equation (X+3)^2=49

Answers

Answer:

X = 4, x = -10

Step-by-step explanation:

Solve for x by finding a, b, and c.

Answer:

C

Step-by-step explanation:

plug in the numbers into x and it will give you the answer.

Please answer 10 points + brainlyest + 1 big thank u

Answers

Answer: -243

Step-by-step explanation:

Multiplying an odd term of negative terms makes the product negative.

First, you need the repeated multiplication in exponential form like this: -(3x3x3x3x3) or 3^5.

Finally, you need to evaluate the power, getting -243. Hope this helps!

1. How are the intergers and whole number the same ?

Answers

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.

Step-by-step explanation:

WOULD THIS BE ASA OR NOT CONGRUENT PLS HELP

Answers

Answer:

Non Congruent

Step-by-step explanation:

Hope this helps :)

It would be non cruguent

Solve 24x + 2y = 48 for y.

Answers

Answer:

y = 24 - 12x

Step-by-step explanation:

24x + 2y = 48

Get 2y by itself and subtract 24 x on both sides.

24x + 2y = 48

-24x          -24x

2y = 48 - 24x

To have y all by itself, divide by 2 on both sides.

2y = 48 - 24x

/2     /2

(You have to divide 2 by everything on the other side so...)

y = 24 - 12x

Hopefully this helped you out...have a great day c:

This morning, Deon's car had 18.09 gallons of fuel. Now, 6.1 gallons are left. How much fuel did Deon use?

Answers

Answer:

11.99

Step-by-step explanation:

PLEASE ANSWER WILL MARK BRAINLIEST TO FIRST ANSWER.

Answers

Answer:

60 I think

Step-by-step explanation:

125 + 115=240

240-180÷60

Answer:

60

Step-by-step explanation:

The measure of angle i : 60

which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x

Answers

one answer is f(-2)=0

 Statements given in the Options (3) and (4) are the correct.

Polynomial function given in the question is,

f(x) = x³ + 5x² + 6x

Check all the options whether they are true or false.

Option (1)

f(x) = 0 at x = 2,

Substitute the value x = 2 in the polynomial.

f(2) = (2)³ + 5(2)² + 6(2)

     = 8 + 20 + 12

     = 40

False.

Option (2)

(x + 2) is a factor of f(x).

If it's true, f(x) = 0 will be true for x = -2

Substitute x = -2 in the function,

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = -20 + 20

      = 0

True.

Option (3)

f(-2) = 0

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = 0

True.

Option (4)

f(x) divided by (x - 2) has a remainder of 0.

x - 2)x³ + 5x² + 6x(x² + 7x

       x³ - 2x²

              7x² + 6x

              7x² - 14x

                      20x

Here, remainder is (20x).

False.

   Therefore, Options (3) and (4) are correct.

Learn more,

https://brainly.com/question/11378074

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