If a^2+b^2=5 and a+b=3, then ab=

Answers

Answer 1

Answer:

  ab = 2

Step-by-step explanation:

You know that ...

  (a +b)^2 = a^2 +2ab +b^2

Rearranging, we can solve for ab ...

  2ab = (a^2 +b^2) -(a +b)^2

  ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2

  ab = 2


Related Questions

What's The actual length of UV (round to 3 decimal places) ?

Answers

Answer:

7.463 cm

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.

a^2 + b^2 = c^2

6.1^2 + 4.3^2 = 55.2

Then square root 55.2, which is 7.463 cm

Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours

Answers

Answer:

[tex]A = 2.25ft[/tex]

Step-by-step explanation:

Given

[tex]High = 5.5ft[/tex]

[tex]Low = 1ft[/tex]

Required

The amplitude (A)

This is calculated as:

[tex]A = \frac{1}{2}(High - Low)[/tex]

So, we have:

[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]

[tex]A = \frac{1}{2} * 4.5ft[/tex]

[tex]A = 2.25ft[/tex]

Can someone help me?​

Answers

Answer:1565

Step-by-step explanation:

tehret

URGENT PLEASE HELP WILL GIVE BRAINLEIST !!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

1 change in x and 4 change in y from 1,0 to 0,4 or 4/1

Take any 2 points from the line and use the rule to find the slope

Slope=y2-y1/x2-x1
(0,4)(-1,0)

Slope= 0-4/-1-0 = -4/-1 = 4

Slope =4

I hope that answers your question and please brainliest my answer I would really appreciate it and best of wishes!!

Which fraction is equal to 0.13?

Answers

Answer:

13/100

Step-by-step explanation:

0.13 = 13/100

if you need more examples, 26/200, 39/300, 52/400 is all equal to 0.13 as well.

Question 10(Multiple Choice Worth 1 points) (05.02 LC) Given triangle ABC, which equation could be used to find the measure of B?​

Answers

Answer:

A. cos m L B = 2√5 /5

Step-by-step explanation:

cos m L B = AB / BC = 6/ 3√5

= 6√5 /15

= 2√5 /5

Answer right Brainliest!

Answers

Answer:

The right answer is D) If graphed, the ordered pairs would form a straight line

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system? А.) There is exactly one solution
B.) There is no solution.
C.) There are infiriitely many solutions
D.) The lines in a system cannot graph the same line.
((PLEASE HELPPP))​

Answers

I think it’s c there are many solutions

f(x) = xWhat is g(x)?

Answers

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

What is the explicit formula for this arithmetic sequence?
-12,-17, -22, -27, ...

Answers

Answer:

Step-by-step explanation:

An explicit arithmetic formula in standard form is

[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So

a1 = -12

d = -5 and the explicit formula is

[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to

[tex]A_n=-12-5n+5[/tex] and finally to

[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.


Which are the solutions of x2 = -13x – 4?

Answers

Answer:

x=3.75

Step-by-step explanation:

If polygon ABCD rotates 70° counterclockwise about point E to give polygon A'B'C'D', which relationship must be true? A. BB' = DD' B. m∠ABC < m∠A'B'C' C. m∠ABC > m∠A'B'C' D. A'E' = AE

Answers

Answer:

A'E' = AE

Step-by-step explanation:

Transformation is the movement of a point from its initial position to a new position. Types of transformation are rotation, reflection, translation and dilation. If an object is transformed then all its points are also transformed.

Rigid transformations are transformations that preserves the shape an size of an object (i.e. the side length and angles). Examples of rigid transformations are rotation, translation and reflection.

Since rotation is a rigid transformation, the side lengths and angles of polygon A'B'C'D' would be the same as that of polygon ABCD. Therefore:

A'E' = AE

The Mariana trench, off the coast of Guam in
the Pacific Ocean, is 11 034m deep. Write 11
034 in standard form.​

Answers

Answer:

11,000 + 30+4

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION IM BEGGING YOU !

Answers

6% chance of pulling blue and then yellow

Answer:

5/36

Step-by-step explanation:

There are 12 tiles

P( blue) = blue /total = 5/12

We put the first tile back so there are still 12 tiles in the bag

P(yellow) = yellow/total = 4/12 = 1/3

P( blue, yellow) = 5/12 * 1/3 = 5/36

what is
- l4l equal to?

Answers

Answer: -4

Explanation:

Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.

However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4

What is the length of leg s in the right triangle shown?

Answers

Answer:

D. 5

Step-by-step explanation:

Applying,

cos∅ = adjacent/Hypotenuse

From the diagram,

Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2

Therefore,

cos45° = s/5√2

make s the subject of the equation

s = cos45°×5√2

s = (1/√2)(5√2)

s = 5

Hence the right answer is D. 5

simplify (3³ × 3⁴) ÷ 3²​

Answers


3x3x3=27

3x3x3x3=81

(27x81=2187)

3x3=9

(2187/9=243)

The answer is 243

simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

Answers

Answer:   14s^4 - 7s^2 + 15

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

Work Shown:

(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12

(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)

14s^4-7s^2+0s+15

14s^4-7s^2+15

Note: don't forget to distribute the negative to every term in the last parenthesis

Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)​

Answers

Step-by-step explanation:

[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]

What are the real roots of the function in the graph?

Answers

Answer:

-1 and 3

Step-by-step explanation:

The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.

Solve the system algebraically.
2x + y - 10 = 0
x-y-5=0
What is the value of y?
-5/3
5

Answers

Answer:

5 is the value of y

PLZ FRIEND ME!!

the value of y is 5

Un arco de 50 m de longitud subtiende un ángulo central θ en un círculo de 35 m de radio. Encuentre la medida de θ.

Answers

Answer:

θ = 81.89°

Step-by-step explanation:

Si tenemos un círculo de radio R, el perímetro de este círculo estará dado por:

P = 2*pi*R

donde pi = 3.14

Ahora, si en lugar de el círculo completo solo queremos la longitud de un dado arco, definido por un ángulo θ, el largo de ese arco estará dado por:

L = (θ/360°)*2*pi*R

Notar que cuando θ = 360° (es decir, el ángulo del círculo completo) el largo del arco será igual que el perímetro, lo cual deberíamos esperar.

Ahora sabemos que:

El arco tiene 50m de longitud.

El radio del círculo es 35m

queremos encontrar el valor de θ

Reemplazando esos valores en la ecuación de arriba obtenemos:

50m = (θ/360°)*2*3.14*35m

Ahora solo debemos resolver esto para θ

50m = (θ/360°)*219.8m

(50m/219.8m) = (θ/360°)

(50m/219.8m)*360° = θ = 81.89°

The cost of a ticket increases by 10% to£18.15
Work out the original cost

Answers

Let the original price = x

An increase of 10 % = 18.15

Multiply x by (1 + percent increase) which is 1.1x = 18.15

Now to find x divide both sides by 1.1:

X = 16.50

The original price was 16.50

Answer:

£16.50

Step-by-step explanation:

Let cost price be x

Now, create a formula:

x + 10x / 100 = 18.15

'or'

110x / 100 = 18.15

'or'

x = (18.15*100) / 110

x = 16.5

Find the value of x.

Answers

Answer:

Step-by-step explanation:

When two chords intersect inside the circle, the product of their segments are equal.

BE * ED = AE * EC

x *3x = 4 *3

3x²   = 12 {Divide both sides by 3}

  x² = 12/3

  x² = 4

  x = √4

  x = 2

Answer:

The value of x is 2.

Step-by-step explanation:

We know that , when the two chords are intersect inside the circle, the product of their segment are equal.

So, BE × ED = AE × EC

putting the values

x × 3x = 4 × 3

multiply the values

3 x ² = 12

divide 12 by 3

x ² = 12 / 3

x ² = 4

Taking the square root of 4

x = √4

x = 2

The value of x is 2.

Write the equation of the line in slope-intercept form

Answers

Answer:

y=-1x-4

hope you have a great day

Một xí nghiệp sản xuất độc quyền hai loại sản phẩm. Biết hàm cầu của hai loại sản phẩm trên lần lượt là 1 2 Q 40 2 ; Q 35 D D 1 2 1 2       P P P P và hàm chi phí kết hợp là 2 2 1 1 2 2 1 2 C Q 6Q Q +Q +15Q 150 .    Q Trong đó, P,Q 1,2   i i i  lần lượt là đơn giá và sản lượng của sản phẩm thứ i . a) (CLO1.3, CLO2.2, CLO4.2) Tìm mức sản lượng của mỗi loại sản phẩm để xí nghiệp có lợi nhuận tối đa. Khi đó, giá bán các sản phẩm là bao nhiêu? b) (CLO1.3, CLO2.2, CLO4.2) Tính chi phí cận biên cho từng loại sản phẩm tại mức tối ưu tìm được ở câu a).

Answers

ah, i’ve seen this one before. this answer is no no idea why you gotta get a chance and i’m you to go pick it out to get your stuff back on your car wash the car and stuff and you get your hair and get it done and you get a little more comfortable with your car and you get a hold on you like that one or a little bit more and stuff and like move you

7 √x +4 Is it a polynomial?​

Answers

Answer:

Phải

Step-by-step explanation:

H. E. L. P. ???!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

sin x= CB/CA =4/8

......

Please help me i'm struggling!

Answers

Answer:

B

Step-by-step explanation:

y = 2x - 4

y + 4 = 2x

x = y/2 + 4/2

x = y/2 + 2

—-

y = x/2 + 2

Answer:

y = x/2 + 2

This is the answer because I got it right on my test.

I need help ASAP!! Please.

Answers

Answer:

x = 8

Step-by-step explanation:

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