Factorise:
4x^2+4xy+y^2-2^2

Answers

Answer 1

Answer:

Step-by-step explanation:

4x^2 + 4xy + y^2 = (2x + y)^2

and if we assume that 2x + y = A and because 4 = 2^2

A^2 - 2^2 = (A-2)*(A+2) .


Related Questions

please help on the last question im gonna do 40 points

Answers

i believe number 5 is c and number 6 is f

Solve x4 - 11x2 + 18 = 0.

Answers

Answer:

x=√2, x=-√2, x= 3 and x=-3

Step-by-step explanation:

We need to solve the equation x^4 - 11x^2+18=0  

We can replace x^4 = u^2 and x^2 = u

So, the equation will become

u^2 -11u+18 = 0

Factorizing the above equation:

u^2 -9u-2u+18 =0

u(u-9)-2(u-9)=0

(u-2)(u-9)=0

u=2, u=9

As, u = x^2, Putting back the value:

x^2 =2 , x^2 =9  

taking square roots:

√x^2 =√2 ,√x^2=√9  

x=±√2 , x = ±3

so, x=√2, x=-√2, x= 3 and x=-3

Answer:

The second answer is correct.

Step-by-step explanation:

Mark brainliest if correct please

Factor 49z + 28. Write your answer as a product with a whole number greater than 1.​

Answers

Answer:

87z

Step-by-step explanation:

Please answer soon ty!

Answers

Answer:

A

Step-by-step explanation:

4.22

If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.

Answers

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.

Answers

Only A is a linear function because B is not a straight line.
Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3

5=5/3*3+b

b=0

Y=5/3x

X^9/7 convert from exponent form to radical form

Answers

Answer:

[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]

Step-by-step explanation:

You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.

Note also that the order does not matter.  You could also express it as

[tex]\sqrt[7]{x}^9[/tex]

The reason this works is that you're effectively breaking the exponent into fractions.  The first answer is the equivalent of:

[tex](x^9)^{1/7}[/tex]

and the second would be:

[tex](x^{1/7})^9[/tex]

In both cases, the exponents would be multiplied, giving the same result.

an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct

Answers

Answer:

it lose 90 percent in 3 hours so peter is incorrect

Step-by-step explanation:

A band expects to put 12 songs on their next CD. The band writes and records 25​% more songs than they expect to put on the CD. During the editing​ process, 80​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

Answer:

3 songs

Step-by-step explanation:

25% more songs: 12 x 1.25 = 15

80% removed: 15 x 0.2 = 3

−1/5(x−4)=−2 Please help me fast

Answers

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
π

Please help

Answers

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ5

20 less than 5 times a number is 85. What is the number

Answers

Answer: I don’t understand the question??

Step-by-step explanation: Can you say the question again like the same way the homework does

Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.

Answers

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

find the measure of

Answers

X=80 Hope it’s right

Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9

Answers

Answer:

its x=1/3 :)))

Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =

Answers

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Luis solves the following system of equations by elimination.
5s+ 3t = 30
2s+3t=-3
What is the value of s in the solution of the system?

Answers

the value of s is 11
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