How would the expression x2 -9 be rewritten using Difference of Squares?

Answers

Answer 1

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer 2

Answer:

Step-by-step explanation:

x²-9=x²-3²


Related Questions

Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers !! PLEASE HELP ME

Answers

Answer:

Below.

Step-by-step explanation:

Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.

What
Is the volume of this object

Answers

Answer:

100

Step-by-step explanation:

5x4=20

20x5=100

If you times the length by with: 5x4 you get 20. Then you multiply 20x5 then you get your volume: 100

What is the phase shift of F(x) = 3 sin(2x - 4)?

Answers

Answer:

2

Step-by-step explanation:

Use the form asin(bx−c)+d

a=3

b=2

c=4

d=0

Phase Shift: c/b

Phase Shift: 4/2 = 2

What is the equation of the line that has a slope of 3 and passes through the point (1, -2)

Answers

Answer:

y= 3x -5

Step-by-step explanation:

The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).

Given that the slope is 3, m= 3. Substitute m= 3 into the equation.

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 1, y= -2,

-2= 3(1) +c

-2= 3 +c

c= -2 -3

c= -5

Thus the equation if the line is y= 3x -5.

Find the value of x. PLEASE HELP ASAPPPPPP


Answers

Answer:

5

Step-by-step explanation:

(38 + 6x - 6) ÷ 2 = 7x -4

multiply both sides by 2

(38 + 6x - 6 = 2( 7x - 4)

38 + 6x - 6 = 14x - 8

32 + 6x = 14x - 8

40 = 8x

x = 5

Midsegments are the average of both bases.

Help me with these 3 and explain too thank you :))

Answers

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

What is the slope and y-intercept of the following equation:
= 13 − 4 (show your work pls)

Answers

Answer:

Slope is 1/3

Y intercept is -4

Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units

Answers

Answer:

223.6 square units. or 223.569 square units

Answer:A

Step-by-step explanation:I took the test

Surface Area of Prisms
Can someone show me how to solve and also what the formula is. Please!​

Answers

Answer:

400 in.²

Step-by-step explanation:

Surface area of the triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 8 in.

h = 15 in.

s1 = 17 in.

s2 = 15 in.

s3 = 8 in.

L = 7 in.

Plug in the values

S.A = 8*15 + 7(17 + 15 + 8)

S.A = 120 + 7(40)

S.A = 120 + 280

S.A = 400 in.²

Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.

Answers

Answer:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Step-by-step explanation:

Given

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Required

Solve

We have:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Collect like terms

[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]

[tex]1.3t^3 + t^2 -42t + 8[/tex]

So:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Answer:

look at pic

Step-by-step explanation:

Solve the inequality
x^2+7x+10< 0​

Answers

Answer: -5  < x < -2 or (-5, -2)

Step-by-step explanation:

Graph- (-5, -2)

Inequality- -5  < x < -2

The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.

Answers

Answer:  [tex]6\sqrt{5}[/tex]  miles

This is the same as writing 6*sqrt(5) miles

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

Work Shown:

P = park

C = city hall

Point P is at the location (10,11)

Point C is at the location (7,5)

Apply the distance formula to find the length of segment PC

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]

The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.

This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.

Extra info:

[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.

What kind of statement does the shorthand below represent?

Answers

Answer:

it's a transitive statement.

Similar to "If a is equal to b and b is equal to c, then a is equal to c."

a = b and b = c, then a = c

Step-by-step explanation:

أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد . ​

Answers

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?

Answers

The y-intercept is (0,12), or just 12, hope this helps

Answer:

Your answer is (0,4)

Step-by-step explanation:

Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds

Answers

It would be 20.13 pounds

Can someone help me with this math homework please!

Answers

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]

6x-15+24x=10+12x

at pretend highschool there are 325 boys and 275 girls.

express the ratio of boys and girls

reduce to simplest form

Answers

Answer:

13:11

Step-by-step explanation:

325:275

If divided by 5 all through, you get 65:55, then by 5 again you get 13:11

Answer:

13/11 = 1.1818

Step-by-step explanation:

Boys/girls = 325/275 = 13/11 = 1  2/11 = 1.1818

I don't know what simplest form means.

Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –. Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}[/tex]

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property.  The distributive property is generally applicable to multiplication and is given as:

[tex]x(y+z)=xy+yz[/tex]

The commutative property is given as:

x+y = y +a

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.

Answer:

step1

Step-by-step explanation: yes   sirr

# If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long.​

Answers

Answer:

(a)k=7

Step-by-step explanation:

We are given that

Two vectors whose direction ratios are 1,2,3 and -k,2,1.

Let

[tex]a_1=1,b_1=2,c_1=3[/tex]

[tex]a_2=-k,b_2=2,c_2=1[/tex]

We have to find the value of k.

We are given that two vectors are perpendicular to each other.

We know that two vectors are perpendicular to each other then

[tex]a_1a_2+b_1b_2+c_1c_2=0[/tex]

Substitute the values

[tex]1(-k)+2(2)+3(1)=0[/tex]

[tex]-k+4+3=0[/tex]

[tex]-k+7=0[/tex]

[tex]\implies k=7[/tex]

Hence, option a is correct.

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

tan^-1 (27/48)
x ≈ 29.36°

hope this helps!

Answer:

29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol

Step-by-step explanation:

Find the value of x and the value of y. 60 30 6

Answers

Answer:

The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]

Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]

[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]

[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]

[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]

[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]

[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]

Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]

[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]

[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]

And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

(100 points)

1.One of the addends of 17,300 is 11,210. What is the other addend?

a. What are they asking for? __________________

b. identify all the necessary numbers. __________________

c. write the equation or problem in numeric form. ______________

d. solve the math. ______________________________

e.write the answer. ________________________________


2. If one of the factors of 954 is 318 , what is the other factor?

a. What are they asking for? __________________

b. identify all the necessary numbers. __________________

c. write the equation or problem in numeric form. ______________

d. solve the math. ______________________________

e.write the answer. ________________________________


3. HEector bought seven bokes of fruit. Each boc contained 24 fruit. How much fruit did Hector buy?

a. What are they asking for? __________________

b. identify all the necessary numbers. __________________

c. write the equation or problem in numeric form. ______________

d. solve the math. ______________________________

e.write the answer. ________________________________

Answers

Answer:

1a. The other addend of 17,300

1b. 17,300 and 11,210

1c. 17,300-11,210

1d. 17,300-11,210= 6090

1e. 6090

2a. The other factor of 954

2b. 954 and 318

2c. 954-318

2d. 954-318= 636

2e. 636

3a. The total amount of fruit Hector bought.

3b. 7 and 24

3c. 7 x 24

3d. 7 x 24 = 168

3e. 168 fruits

Please answer the question on the screenshot.

Answers

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which of the following is the graph of the quadratic function y= x2 - 4x + 4
A. Graph D
B. Graph B
C. Graph A
D. Graphic
SUBMIT

Answers

Answer:

graph c

Step-by-step explanation:

it is the longest one

Simplity the expression.
3(2y - 8) - 2y(5 - y)

Answers

Answer:

2y² - 4y - 24

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3(2y - 8) - 2y(5 - y)

Step 2: Simplify

[Distributive Property] Distribute 3 and -2y:                                                       6y - 24 - 10y + 2y²Combine like terms:                                                                                         2y² - 4y - 24
ANSWER: 2y^2-4y-24

I wanted to verify the answer was correct


[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]

Answers

if it is just the square root of 100-64, it will be 6

Answer:

[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]

Using the formula for the area of a triangle, , write an expression for the area of ΔABC. Base your answer on the work you did in parts G through I. Show your work.

Answers

Answer:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Step-by-step explanation:

From the complete question, we have:

Length D to be perpendicular to side AC

So, the area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Since:

Length D is perpendicular to side AC

Then:

[tex]Base = AC[/tex]

[tex]Heigjt =D[/tex]

So:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Robert took 8 minutes to complete his 12 worksheets. What is his unit rate of completing worksheets

Answers

Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.

Which conclusions can be made from this table?

Select each correct answer.


For both parties, more members do not support the law than support the law.

Compared to the Republicans, the Democrats have a larger percentage of members who support the law.

More Republicans support than the law than do not support the law.

Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56

Answers

What i can see:

It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.

Like "insert law here" may be more favored by republicans or align more to their usual values.

Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.

Im no master politician ofc but i am interested in politics so, yeah :)

Answer:

Among Democrats, a larger percentage do not support the law than support the law.

For both parties, more members do not support the law than support the law.

Step-by-step explanation:

just finish the test

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