explain how to factorise i,j and n

Explain How To Factorise I,j And N

Answers

Answer 1
Answer:

Explanation:

I).
(x+5)^2 - 16 = 0

It’s in a form of: a^2 - b^2 = (a-b)(a+b)

(x + 5)^2 - 4^2 = 0
(x + 5 - 4)(x + 5 + 4) = 0
(x + 1)(x + 9) = 0

J.
(x - 4)^2 - 9 = 0

Same form: a^2 - b^2 = (a-b)(a+b)

(x - 4)^2 - 3^2 = 0
(x - 4 - 3)(x - 4 + 3) = 0
(x - 7)(x - 1) = 0

n).
(2y + 7)^2 - y^2 = 0
(2y + 7 - y)(2y + 7 + y) = 0
(y + 7)(3y + 7) = 0

Answer 2

Answer:

see explanation

Step-by-step explanation:

A difference of squares is factored in general as

a² - b² = (a - b)(a + b)

(i)

(x + 5)² - 16 ← is a difference of squares, that is

(x + 5)² - 4²

= (x + 5 - 4)(x + 5 + 4)

= (x + 1)(x + 9)

(j)

(x - 4)² - 9 ← is a difference of squares, that is

(x - 4)² - 3²

= (x - 4 - 3)(x - 4 + 3)

= (x - 7)(x - 1)

(n)

(2y + 7)² - y² ← is a difference of squares

= (2y + 7 - y)(2y + 7 + y)

=(y + 7)(3y + 7)


Related Questions

Easy math problem giving brainlist and points!

Answers

Answer:

A

Step-by-step explanation:

When you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Answer:

the anser is A because.. when you simplify it becomes -2x-10 = -2x-10

Then when you solve  there is a 0 infront of the x so it becomes 0x = 0

Which expression is equivalent to 510.55?
o 52
o 55
O 515
0 550

Answers

The exponent 5¹⁵ is equivalent to the given expression 5¹⁰ · 5⁵. The correct answer would be an option (C).

What is an exponent?

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent expression is given as:

5¹⁰ · 5⁵

We have to determine the equivalent exponent to the given expression.

As per the question, we have

5¹⁰ · 5⁵

Simplify using the exponent rule with the same base,

5¹⁰⁺⁵

Adding the powers in the expression, we get

5¹⁵

This exponent is equivalent to the given expression.

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helpppp

8(6-x)/7 = -x

Answers

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

solve the equation .
X-8= 20 - 6(x + 7)

Answers

114 is the answer but if you want to know what X is then X is 12

PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!!!

Answers

Answer:

X=35°

Step-by-step explanation:

Opposite angles x=35°

Answer:

35°

Step-by-step explanation:

The 2 angles that measure 35 degrees and x degrees are vertical angles.

Therefore, they are congruent, and we can set them equal to each other.

x = 35°

So, x is equal to 35 degrees.

Bill measures the length of a room to be 15.125 feet. He wants to place a border on 3/4 of the length of the wall. What will be the length that he covers on the wall? Round to the nearest thousandth of a foot.

A. 11.344 feet
B. 15.000 feet
C. 17.054 feet
D. 10.275 feet

Answers

Answer:

The answer is A.

Step-by-step explanation:

15.125 * 75% = 11.343...

Rounded, that would be 11.344.                      

                                                            ~(_8^(})

I need an answer quickly!

What is the length of
BD with endpoint B(1,4)
and midpoint T(4,6)?

Thank you in advance!

Answers

Answer:

d=2√13

Step-by-step explanation:

B(1,4) T(4,6)  what is BD

find BT

d=√(x2-x1)²+(y2-y1)²

d=√(4-1)²+(6-4)²

d=√3²+2²

d=√9+4

d=√13 this is haf the distance

BD=2d=2√13

Find the midpoint of the segment AB with coordinates A(4, 3/4) and B(-2, 1/4).

Answers

answer :

( 1, 1 / 2 )

explanation :

Midpoint formula :

(x^1, y^1) , (x^2, y^2)

M = ( x^1 + x^2 / 2 ), ( y^1 + y^2 / 2 ).

(x^1, y^1) = (4, 3/4), (x^2, y^2) = (-2, 1/4).

=  ( -2 + 4 / 2,  1/4 + 3/4  / 2 )

= ( 1, 1 / 2 )

The vertices of a figure are D(-3,-4),E(-5, 2), F(1,-1), and G(3, -7). Rotate the figure 270° clockwise about vertex E. What are the coordinates? Please i need helppppp :(

Answers

Answer:

c

Step-by-step explanation:

c

solve for x 3/2 (4x-2) - 3x = 5-(x+2)

Answers

Answer:

x = 1.5

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

The solution of the equation, (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) is; x = 1.5

What is an equation?

An equation is a mathematical statement indicating equivalence between two expressions.

The equation (3/2)·(4·x - 2) - 3·x = 5 - (x + 2) can be solved step by step as follows;

Distributing the (3/2) on the left hand side, we get; (3/2)·4·x - (3/2)×2 - 3·x = 5 - (x + 2)Simplify the left hand side; 6·x - 3 - 3·x = 5 - (x + 2)Combine like terms on the left hand side; 3·x - 3 = 5 - (x + 2)Distribute the -1 on the right hand side; 3·x - 3 = 5 - x - 2Combine like terms on the right hand side; 3·x - 3 = 3 - xAdd x to both sides; 4·x - 3 = 3Add 3 to both sides; 4·x = 6Divide both sides by 4; x = 6/4

Therefore, the solution of the equation is; x = 6/4, or x = 1.5

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Solve the equation for b ​

Answers

Answer:

b=7a

Step-by-step explanation:

11a+b/3=6a

or, 11a+b=6a*3( when there is divide in one side it will be multiply when it is in another side)

or, 11a+b=18a(multiplying the number)

or, b=18a-11a( when there is + sign in one side it will be - sing in another side )

or, b=7a

Sara is trying to build the number 0.140 with base ten blocks. She has thousandths blocks, hundredths blocks, and NO tenths blocks. How can she represent 0.140?

Answers

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Divide:
8.9) 810.434

Answers

Answer:

91.06

Step-by-step explanation:

Step 1:

810.434 ÷ 8.9

Answer:

91.06

Hope This Helps :)

3 X square + 3 X - 36 by 6 x square - 24 x - 30

Answers

Step-by-step explanation:

The solution is in the above photo

A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie in?​

Answers

Answer: Quadrant 2

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

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is [tex](x,y) \to (x,-y)[/tex] showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.

Side note: all points on the line y = 0 have a y coordinate of 0

what is the circumference of a circle with a radius of 54 m

Answers

Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

Answer:

circumference of circle = 2πr

radius = 54 m

circumference= 2 * 22/7 * 54

= 339.427 m

Simplify. * 11b – 5 + 12b - 10​

Answers

Answer:

22b - 15

Step-by-step explanation:

add the dependent variable together

Answer: 23b- 15

Explation:

Heather buys a TV for $2,100, a game system for $400, and a game for $50. If sales tax is 8% what will she pay in tax?

Answers

Answer:

2754

Step-by-step explanation:

=2550

108%=x

108x2550/108

275400/100

2754

A piece of chocolate is 4/5 inch long. Meg lays 4 chocolate pieces end to end in a row. How many inches long is the row of chocolates ( please helpppppp) ( MAP test question)

Answers

Answer:

The length of row = 3.2 inches.

Step-by-step explanation:

The length of a chocolate = 4/5 inch

Total number of chocolate pieces placed = 4

Now we have given the length of one chocolate and it is required to find the total length of the row when four chocolates are placed end to end. So in order to find the length of the chocolate row we have to multiply the size of one chocolate by the number of chocolates.

The length of row = Length of one chocolate × number of chocolates

The length of row = 4/5 × 4

The length of row = 3.2 inches.

The piece of chocolate and the number of chocolates in a row can be represented using equations.

A row of chocolate is 3.2 inches long

Given that:

[tex]L = \frac 45[/tex]  ---- Length of a piece

[tex]n =4[/tex] --- number of chocolate pieces

The length of the chocolate in a row is calculated as follows:

[tex]Length = n \times L[/tex]

So, we have:

[tex]Length = 4 \times \frac 45[/tex]

[tex]Length = 4 \times 0.8[/tex]

[tex]Length = 3.2[/tex]

Hence, a row of chocolate is 3.2 inches long

Read more about equations at:

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Trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J19, -3). What is the
area of the trapezoid? Show your work.

Answers

Answer:

38.5

Step-by-step explanation:

The area of the trapezoid FGHJ is 33 square units.

Given that, trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J(19, -3).

We need to find the area of the trapezoid.

What is the formula to find the area of trapezium?

The area of a trapezium is defined as the number of unit squares that can fit into it and it is measured in square units (like cm², m², in², etc). A trapezium is a type of quadrilateral that has one pair of parallel sides(generally referred to as bases). The other pair of sides of a trapezium can be non-parallel and are known as legs. The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane.

The area of a trapezium =1/2 (a+b)×h square units.

Now, area=1/2 (4+17)×6=33 square units

Therefore, the area of the trapezoid FGHJ is 33 square units.

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sum of -36 and 29 is​

Answers

Answer:

[tex]-7[/tex]

Step-by-step explanation:

So the first and last step is to add.

[tex]-36+29[/tex]

And the answer to that is

[tex]-7[/tex]

Hope this helps!

which expression is equivalent to 27 + 15? A 3 × (9 + 15) B 3 × (9 + 5) C 9 × (3 + 15) D 9 × (3 + 5)

Answers

Answer:

Your answer is b

Step-by-step explanation:

27 + 15= 42

a- 9+15= 24x3= 72

b- 9+5= 14x3= 42

c- 3+15= 18x9=162

d- 3+5= 8x9= 72

Hope this helps.

which is not the correct way to name an angle

Answers

Answer:

i think it's B

hopes this helps

Answer:

A. <O

Step-by-step explanation:

If it was <O, you wouldn't know which angle it was talking about

Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²

Answers

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

A lunch bill $12 before tax. If tax on the bill is 7.5%, what is the total cost of the lunch including tax?

Answers

Answer:

$12.90

Step-by-step explanation:

To solve, multiply the cost before tax with tax, and then add the number gotten to the original amount.

12 x 7.5% = 12 x 0.075 = 0.9

12 + 0.9 = 12.9

$12.90 is your answer.

~

Answer:

After tax, the price should be $12.90

Step-by-step explanation:

multiply 12 by 1.075

Find the difference. (3 • 1,000) – (2 • 100)

Answers

Answer:

2,800

Step-by-step explanation:

3·1000=3000

2·100=200

3000-200= 2,800

x · 1 + x/1 = _____.

Answers

Answer:

2x

Step-by-step explanation:

x · 1 is equal to x

x / 1 is equal to x

this means that (x · 1 + x / 1) is the same as

x + x

x + x = 2x

Answer:2x+1

Step-by-step explanation:

Step one: Divide

Step Two:Collect like terms

PLEASE HELP, ITS TIMED :D >>>>

Answers

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hopefully this helps you :)

I took the test

F(x)=3x-7 slope intercepts form

Answers

Answer:

y=[tex]\frac{3}{1} x\\[/tex]=+(-7)

Step-by-step explanation:

-f(x) means y

-since 3 isnt a fraction put a one under it

Compute the distance between the 2 points (-3,4) and (21,11)

Answers

The distance between the two points is 2
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