factorise X^2 + 4xy - 4y^2- 9z^2​

Answers

Answer 1

Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2


Related Questions

please solve this

.............​

Answers

Answer:

D

Step-by-step explanation:

Note that I will be using a, b, and y instead of their Greek counterparts.

First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get

sin(b+y) = sin(b)cos(y) + cos(b)sin(y)

sin(b-y) = sin(b)cos(y) - cos(b)sin(y)

sin(a+y) = sin(a)cos(y) + cos(a)sin(y)

sin(a-y) = sin(a)cos(y) - cos(a)sin(y)

Plugging these into our equation, we get

(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))

/

(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))

=

2cos(b)sin(y) / 2cos(a)sin(y)

= cos(b)sin(y)/cos(a)sin(y)

= cos(b)/cos(a)

Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get

cos(b) / cos(π-b)

After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get

cos(π-b) = cos(π)cos(b) - sin(π)sin(b)

= -cos(b) + 0

= -cos(b)

Plugging that back into our equation, we get

cos(b) / -cos(b) = -1

Help me with this question please‼️‼️

Answers

Answer: 1/2  (choice C)

Explanation:

The gradient is the same as the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (6-1)/(6 - (-4))

m = (6-1)/(6+4)

m = 5/10

m = 1/2

In decimal form, this becomes 0.5

A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.

A positive slope goes uphill as we move to the right (due to the positive rise value).

Answer:

One way to find the gradient is using the expression :

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]

So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​

Answers

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

HOPE SO IT HELPS YOU

How to solve this question pls help asap

Answers

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

if a number is added to 3, the result is 10 find the number​

Answers

Answer:

7

Step-by-step explanation:

10 minus 3 will give you the number

Answer:

7

Step-by-step explanation:

let the number added to 3 be 'x'

we know;

X+3=10

X=10-3

X=7

"Two-thirds of a number increased by seven."

Answers

Answer:

(2/3)n + 7

Step-by-step explanation:

Represent the number by n.

Then "two thirds of (that) number" is (2/3)n.

Finally, we add 7:

"Two-thirds of a number increased by seven" is (2/3)n + 7

(06.01)

Write the following expression in exponential form:

1.6 × 1.6 × 1.6 × 1.6

41.6
1.64
1.6 × 4
1.6 + 4

Answers

Answer:

[tex]1.6^{4}[/tex]

Step-by-step explanation:

1.6 is multiplied by itself 4 times. This is represented in exponential form as

[tex]1.6^{4}[/tex]

Need help nsjsisjejskskkdof

Answers

Answer:

8×4=32 and 8 groups of 4 equals 32.

a map of an amusement park is shown on a coordinate plane, where each square of the grid represents 1 square meter. The water ride is at (-17,12), the roller coaster is at (26,-8), and the Ferris wheel is at (2,20). Find each distance to the nearest tenth of a meter.
* what is the distance between the water ride and the roller coaster?
*What is the midpoint between the roller coaster and the ferris wheel? what is the distance from the midpoint to the ferris wheel

Answers

Answer:

Step-by-step explanation:

Giving brainliest! View image!

Answers

Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

21/50*2 = 42/100 chance to choose inside small rectangle

100-42=58%

(2x2 + 1) + 3/2x2=1=4

Answers

Answer:

3(2×2+1)+3×(2×2)/3=1×3=4×3

36+3+4=3=12

36+3+4-3-12

43-15

28

Express (root 19 - root 7)(root 19 + root 7) in simplest form.

Answers

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Someone explain what this means ?

Answers

Answer:

20 P 9 means selecting 9 objects (order matters) out of 20 objects.

So in this case, the eight choice of a line up of 9 has 13 options.

For example, think about it this way. The first choice has 20 options, 2nd has 19, and so on...

So the answer is 13

Let me know if this helps!

twice n
Algebraic expression

Answers

Answer and Step-by-step explanation:

2n is the algebraic expression for twice n.

#teamtrees #PAW (Plant And Water)

[tex]3-\sqrt{x} 1-16x^{2}[/tex]

Answers

Answer:

Step-by-step explanation:

This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:3
B. 1:6
C. 1:5
D. 1:1

Answers

ANSWER: C (1:5)

EXPLANATION:
(s=students)
3s (zoo)
15s (aquarium)

Want To Find: Ratio of students who went to zoo to number of students who did not go to the zoo.

Students who went to the zoo= 3
Students who didn’t go to the zoo= 15

3:15 is also equal to 1:5

The ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is 1: 5. Hence option C is true.

Given that;

The students in Shawn's class got to choose whether to visit the zoo or the aquarium.

Here, 3 students went to the zoo and 15 students went to the aquarium.

Hence, the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is,

Ratio = 3 : 15

Ratio = 3/15

Ratio = 1/5

Ratio = 1 : 5

Thus, option C is true.

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Find the value of x in the given
right triangle.
10
х

Answers

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?

Answers

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.

Answers

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer:

The answers are A B E

Step-by-step explanation:

factor x ^ 4 - 5x ^ 2 + 4

Answers

( − 2 ) ( 3+ 2 2 − − 2 )

Hope this helps, have a great day!

Help please! Need this answered quick!

Answers

Answer:

3.6

Step-by-step explanation:

the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6

question 3&4 help me please

Answers

Answer:

3. (1-7/9)÷2 = 2/9÷2 = 1/9

reciprocal of 1/9 is 9

4. x+2/x=3

if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer

Answered by GAUTHMATH

how many 5 cents can u get from $1.25?​

Answers

Answer:

25

Step-by-step explanation:

5 cents = 0.05

1.25 / 0.05 = 25

let me know if i'm wrong

Answer:

25

Step-by-step explanation:

$1.25=125cents

125/5 = 25

HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:

(negative 3, negative 1), (2, 2)

a.

y = 3/5x – 5/4

c.

y = 3/5x – 4/5

b.

y = 3/5x + 4/5

d.

y = -3/5x+4/5


Please select the best answer from the choices provided



A

B

C

D

Answers

Step-by-step explanation:

solution

Coordinate (-3,-1)(2,2)

x¹=-3 x²=2, y¹=-1 y²=2

M=(y²-y¹)/(x²-x¹)

M=(2+1)/(2+3) => 3/5

Equation of line

M=(y-y¹)/(x-x¹)

3/5 = (y+1)/(x+3)

cross multiply

3(x+3)=5(y+1)

3x+9=5y+5

5y-3x=4

5y=4+3x

y=4/5 + 3x/5

(C)

PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :

Answers

Here, we are to find the length and the , breadth of the rectangle

The length of the rectangle = 7 units and Breadth of the rectangle = 3 units

Let

length = l units

Breadth = b units

Perimeter of the rectangle = 20 units

length is the distance measured along the longest dimension of an object

width is the wideness of an object

perimeter refers to the total measurements of an objects

The breadth of a rectangle is 4 units less than its length

If,

Length = l

Then,

b = l - 4

Perimeter of a rectangle = 2(length + breadth)

20 = 2{l + (l - 4)

20 = 2(l + l - 4)

20 = 2(2l - 4)

20 = 4l - 8

20 + 8 = 4l

28 = 4l

l = 28/4

l = 7

b = l - 4

b = 7 - 4

b = 3 units

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15. What is the length of segment FG

Answers

Answer:

10.49

Step-by-step explanation:

FG= squareroot(10)(11) =10.49 took quiz too

calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%

Answers

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

What is the image of (-3,6) when reflected in the x-axis?
A. (6,-3)
B. (-3, -6)
C. (3,-6)
D. (3, 6)

Answers

The new coordinates are ( -3 , -6) , Option B is the answer.

What is meaning of Reflection ?

Reflection means to create a mirror image of an object along any axis .

The shape and size of the object remains constant while reflection.

An object of coordinate ( -3 ,6) is given

This is reflected in the x axis .

When an object is reflected along any axis , the coordinate of that axis remains the same while the coordinate of the other changes to its additive inverse .

object  ( -3 ,6) is reflected along x axis ,

( x, y) ----> ( x , -y)

The new coordinates are ( -3 , -6)

Therefore Option B is the answer.

To know more about Reflection

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The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answers

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

[tex] = - \frac{3}{2} [/tex]

[tex]y = - \frac{3}{2} x + c[/tex]

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

find the measure of the missing angles in the kite​

Answers

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

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