If(a-b) =4 and ab=2,find the value of a^2+b^2

Answers

Answer 1

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20


Related Questions

2x²+3x²+3.(-1) =5x.x+5x .1

Answers

[tex]\\ \sf\longmapsto 2x^2+3x^2+3(-1)=5x.x+5x.1[/tex]

[tex]\\ \sf\longmapsto 5x^2-3=5x^2+5x[/tex]

[tex]\\ \sf\longmapsto 5x^2-5x^2-3=5x[/tex]

[tex]\\ \sf\longmapsto 5x=-3[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-3}{5}[/tex]

Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2

Answers

The answer would be D.

I need help as soon as possible.

Answers

What’s the question

please help me out I'll greattlyyy appreciate it!!!!!!!!! (no links)
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Answers

Answer: Choice C

i/j = h/k

=============================================

Explanation:

The triangle proportionality theorem basically says that if we draw a parallel line somewhere inside the triangle like this, then we'll split the sides into smaller pieces that are proportional to one another (eg: the longer side is say 3 times longer than the shorter side for each piece of the original triangle).

One statement we can make is j/k = i/h. This then can be rearranged into i/j = h/k after doing a bit of algebra. Other equations are possible, so there are many combos we could try.

Los científicos dicen que el universo fue por el big bang pero yo tengo una teoría


Mi teoría es

Que el universo no se creó siempre a estado siempre estuvo y siempre estará, que el universo no tienen edad que el universo es infinito y siempre lo será esa es mi teoría un poco corta

Answers

Answer  yo mbitaen digo lo mismo el universo siempre a eado hays sn niotrsoss oarlo

bet

Step-by-step explanation:

Find the area and perimeter of the given plain figure​

Answers

This shape is the rhombus, then ;

Rhombus area = side length × height

A= b × h

A= Rhombus area

h = height ; b = side length ( length of any side)

h= 3 inch ; b= 4.5 inch ; A=?

A= b × h

A= 4.5 × 3 = 13.5 inch²

____o__o_____

The perimeter of a rhombus = 4 × side of length

P = 4× a

P = The perimeter of a rhombus ; a = side of length

p= ? ; a = 4.5 inch

P = 4× a

P = 4× 4.5 = 18 inch

I hope I helped you^_^

The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?

Answers

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4

Answers

The function g is:

[tex]g(x) = |4x| + 4[/tex]

----------------------

Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).

----------------------

In this question, the function is:

[tex]f(x) = |2x| + 4[/tex]

Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:

[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]

Thus, the function g is:

[tex]g(x) = |4x| + 4[/tex]

A similar question is given at https://brainly.com/question/20379647

Plzzz help 10 points and will mark brainiest
hint: answer is a fraction

Answers

Answer:

1/3

Step-by-step explanation:

The left side of FA is 6 units.

The left side of FB is 2 units.

From 6 to 2, you divide by 3.

Same for the top,

FA is 9 units, while FB is 3 units.

I hope this helps!

pls ❤ and mark brainliest pls!

Match all the part of the circle to their correct name.

1. YW
2. Q
3. WX
4. W
5. ST
6. VQ
7. TW

a. Center
b. Secant Line
c. Chord
d. Radius
e. Point of Tangency
f. Diameter
g. Tangent Line

Answers

Answer:

halo

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

please mark brainliest???

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

What is diameter?

In geometry, a diameter of a circle exists as any straight line segment that passes via the center of the circle and whose endpoints lie on the circle. It can also be described as the longest chord of the circle. Both descriptions exist also valid for the diameter of a sphere.

The correct matches are,

1. YW - chord

2. Q - center

3. WX - tangent line

4. W - point of tangency

5. ST - secant line

6. VQ - radius

7. TW - diameter

To learn more about diameter refer to:

https://brainly.com/question/23220731

#SPJ2

2 1/2 + 3 1/4 = ? pls

Answers

Answer:

5  [tex]\frac{3}{4}[/tex]    

Step-by-step explanation:

2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]

= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex]    Here we add the two whole numbers first

= 5 +  [tex]\frac{1}{2} + \frac{1}{4}[/tex]

= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex]      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + [tex]\frac{3}{4}[/tex]       Here we added 1/4 and 2/4

= 5  [tex]\frac{3}{4}[/tex]    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4

Find the value of x.
B
10-X
3
D
х
2.
A
С
x = [?]

Answers

Answer:

3/(10-x) = 5/(10-x+x)

3/(10-x) = 1/2

6 = 10-x

x = 4

Hope this helps!

1 - 3/10 Write the answer as a fraction​

Answers

Answer:

7/10

Step-by-step explanation:

Get a common denominator

1 - 3/10

10/10 - 3/10

7/10

One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10

Answers

Answer:

$0.80

Step-by-step explanation:

-3 (1x + 1y = 3.2)

3x + 1y = 8

----------------

-3x - 3y = -9.6

+

3x + 1 y = 8

-------------------

0x -2y = -1.6

÷ -2

-----------------

y = 0.8

one hamburger costs $0.80

CHO A (0,2) B(-2,0) C(2,-1) chứng minh A B C thẳng hàng

Answers

Step-by-step explanation:

language mujhe samajh mein nahin a rahi hai

A storeowner orders 25 calculators that cost ​$38 each. The storeowner can sell each calculator for ​$42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$2 charge for each returned calculator​ (although the initial cost is​ refunded). What is the​ storeowner's profit?

Answers

Answer:

Step-by-step explanation:

25*-30= -$750

Second: He sells 22 of those calculators for $35 each, so he is making money.

22*35= $770

Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.

3*-2= -6

Add all the costs and sales together, and you get 770-750-6= $14 profit

However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90

$90+$14= $104 profit

here u go

i need help asap!! thank you, your help is really appreciated

Answers

It’s the first one

3(6)-1/2(6)+1

I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money


Answers

Answer:

In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi­-marginal utility tells us the way how a consumer maximizes his total utilit

Do these pairs of values (x and y) represent two quantities that are proportional?

X: 4, 6, 10, 14
Y: 2, 3, 5, 7

Answers

Answer:

No

Step-by-step explanation:

In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not).  It would not go through (0.0), but would go through (2, 0)

Ms. Davis writes an equation on the board.
(-6) + 6 = 0
Which scenario could represent this equation?

Answers

There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

---------------------------------

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

---------------------------------

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

-----------------------------------

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

it the repeating number 0.362799791799176191... rational or irrational and why

Answers

Answer:

no, because the number is not repeating

Step-by-step explanation:

Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.

Answers

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

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

(x+2)^2 + (y-5)^2 = 9

PLZ ANSWER QUICK

Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.

Answers

Answer: Answer is in the image below.

Step-by-step explanation:

PLSSSS HELP ME WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST!!!!
1. How would we name the polynomial below? Think about degree and number of terms.
x^4 + 3x^2 - x


2. Simplify by adding
(x + 4) + (2x + 7)


3. Multiply
3x^2(5x^3)


4. Divide
8x^3y^5 / 4x^2y^3

Answers

Answer:

This is what you asked me just now.

Step-by-step explanation:

Is pi + 1 rational or irrational

Answers

Answer:  Irrational

==========================================================

Explanation:

Let's assume that pi+1 is rational

If so, then pi+1 = m/n where m and n are integers and n is not zero.

Let's isolate pi

pi+1 = m/n

pi = (m/n) - 1

pi = (m/n) - (n/n)

pi = (m - n)/n

This says that pi is rational, as it's in the form integer/integer. But in reality, pi is irrational. The decimal form of pi goes on forever without any known pattern.

So going back to the assumption where we said "pi+1 is rational", that assumption can't be true. If it were true, then it leads to a contradiction. Therefore, pi+1 is irrational.

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\pi + 1}}}}\\\boxed{\boxed{\huge\text{\boxed{= \mathsf{3.141593 + 1}}}}}\\\\\boxed{\boxed{\huge\text{\boxed{= \bf 4.141593}}}}\\\\\boxed{\huge\text{\boxed{\pi \approx \bold{3.14}\ \& \ 3.14 + 1\ is \approx \bf \underline{\underline{4.14}}}}}[/tex]

[tex]\huge\bullet\huge\text{ Pi \boxed{\pi} is an irrational number so any}\\\huge\text{real numbers (0 \& up) cannot be}\\\huge\text{indicated (expressed) by the clearer}\\\huge\text{(simple) fraction\bf (s)}[/tex]

[tex]\boxed{\boxed{\huge\text{To \underline{ANSWER} Your question it is: \bf \underline{\underline{irrational}}}}}\huge\checkmark[/tex][tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\boxed{\huge\text{\boxed{\frak {Amphitrite1040:)}}}}[/tex]

a call centre aims to deal with calls in less than 5 minutes


calls come in randomly

Answers

Answer:

1/8

Step-by-step explanation:

Let "A" = the next call of a customer's complaint

Let "B" = the next call completed under 5 minutes

P(A) = 1/4

P(B) = 1/2

So ----> P(AB) = P(A) times P(B) P(AB)

                       = 1/4 times 1/2 = 1/8

The graph showing here is the graph of which of the following rational functions?

Answers

Answer: A

Step-by-step explanation:

The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.

A would be correct because when x = -2,

[tex]F(-2)=\frac{1}{-2+2}=\frac{1}{0}[/tex], which is undefined.

Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️

(m-1)/2 - (m-2)/3 = ( m - 4 )/7 ​

Answers

Answer:

m = - 31

Step-by-step explanation:

Given

[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]

Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions

21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis

21m - 21 - 14m + 28 = 6m - 24

7m + 7 = 6m - 24 ( subtract 6m from both sides )

m + 7 = - 24 ( subtract 7 from both sides )

m = - 31

m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!

Answers

[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]

Take n to left

[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]

Hence

if m=1

[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]

if n=1

[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]

find the area of the right triangle

Answers

Answer:

Area: 24 sq units

Step-by-step explanation:

Area of a rectangle formula:

A = 0.5bh

Given:

b = 6

h = 8

Work:

A = 0.5bh

A = 0.5(6)(8)

A = 3(8)

A = 24

Answer: A = 24 unit²

Concept:

The area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

Area (triangle) = bh/2

b = base

h = height

Solve:

Given information

1 unit = 1 grid

b = 6 grids = 6 × 1 = 6 units

h = 8 grids = 8 × 1 = 8 units

Given expression

A = bh / 2

Substitute values into the expression

A = (6) (8) / 2

A = 48 / 2

A = 24 units²

Hope this helps!! :)

Please let me know if you have any questions

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