Find the difference of the two squares x2-49

Answers

Answer 1

Answer:

It is (x - 7)(x + 7)

Step-by-step explanation:

[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]

from the "difference of two squares"

[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]

take;

a » x

b » 7

substitute:

[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]


Related Questions

How do you add or subtract fractions?

Answers

Answer:

STEP ONE: Get a common denominator.

STEP TWO: Add or subtract the numerators.

STEP THREE: Simplify the result if needed.

And that's all there is to it! Final Answer

Answer:

By doing it normally as in arithmetic rule

Step-by-step explanation:

For starter see the following 2 numbers

334, 53

let add them and substract them in arithmetic way

334

+53

------

387

and

334

-53

------

281

here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction

Just in the same way lets consider the following example

1.23

+0.93

--------

2.16

and

1.23

-0.93

---------

0.30

Add followup question if needed

Depart London at 12:30. A 7 hour and 30 minutes videos and arrives in New York at 15:00. What is the time difference between London and New York

Answers

Answer:

Step-by-step explanation:

Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!

ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?​

Answers

Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years

P= 80000

R = 10% '

1st-year amount = 88000

10% compounded annually

If you pay the loan of  55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts

= \frac{55000}{110} \times 100 = 50000

So after the first year, a certain amount is paid, and the remaining amount is will be 50000.

So a certain amount to be paid in 1 year = 88000 -50000 = 38000

A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.

A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022

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pq + 4; use p=4, and q = 4

Answers

Answer:

20

Step-by-step explanation:

pq + 4

Given:

p = 4

q = 4

We plug the numbers in:

pq + 4

4(4) + 4

16 + 4

20

The answer you are looking for is 20.

Since p=4 and q=4,

Therefore,

pq+4

Substitute each of the given values of the variables,

(4)(4)+4

16+4

20

11. Write y = 2x² +12x+14 in vertex form.

Please show work if possible so I know how to do it

Answers

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

The distance between two points on a map is 6.5 cm. The scale of the map is 1:1000. Find the actual distance between the two points in km.
I need the answer asap

Answers

Answer:

0.065km

Step-by-step explanation:

1:1000 in cm

so in km its

cm:km

1:0.01

6.5:X

so its 0.065 km

hope it helps and correct

keep loving maths

The diameter of a circle is 16 in. Find its area in terms of π

Answers

Answer:

64[tex]\pi[/tex]

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

Divide 16 by two to get the diameter: 8

Square 8: 64

Since the answer is in terms of pi, the answer is 64[tex]\pi[/tex]

Answer:

64 π

Step-by-step explanation:

Diameter = 16 inches

Radius = 16/2 = 8 inches

Area of circle = πr²

                      =  π(8)²

                      = 64 π sq inches

Help me plz snsnsns sn

Answers

Answer:

If the exponent is 0 the answer is 224/y^2

Step-by-step explanation:

Which One Does Not Belong? EXPLAIN your REASONING

Answers

Answer:

The last one

Step-by-step explanation:

0.3333..., 30%, 3/10 are parts.

The last one ( 3 circles) are 3 wholes.

(whole numbers)

I hope this helped:)...

:-)

Hey there! I'm happy to help!

30% is the same thing as 0.3, which is 30% of 1.

0.3 is what you multiply numbers if you want to see what 30% of that number is as 0.3 is 30% of 1, the whole number.

3/10 is the same value as 30% because 3 divided by 10 is equal to 0.3, which is 30%.

The dots in the boxes are also the same thing as 3/10. There are 10 boxes, and 3 out of the 10 have dots, which is 3/10 and 30%.

The one that does not belong is 0.333333...... This is equivalent to 1/3, which is greater than 30%, 0.3, and 3/10.

Have a wonderful day and keep on learning! :D

Sasha measured the length of an ant as 1.3 x 10-3 meter. Write this length in standard.

Answers

[tex]\\ \sf\longmapsto 1.3\times 10^{-3}m[/tex]

[tex]\\ \sf\longmapsto 13\times 10^{-2}m[/tex]

[tex]\\ \sf\longmapsto 13cm[/tex]

10^-2m=1cm

4.) 5(3y – z) - x =
If y=8, z=6, and x=2

Pls help lol

Answers

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

88

Step-by-step explanation:

Given expression:

5(3y - z) - x

Evaluating the value of this expression if y = 8, z = 6, x = 2:

5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88

Help please !!!!!!!!!!

Answers

Answer:

Solving for x:

x= -y-5

Solving for y:

y= -x-5

Step-by-step explanation:

Which of the following numbers has the greatest value?
.1

.47

.049

.192

.0864

Answers

Answer:

.1

Step-by-step explanation:

anything that's the furthest(farthest) from the tenths is a small number

What is the inverse of the function f(x) = 3x – 2?
f-1(x) =

Answers

Answer:

[tex] \frac{x + 2}{3} [/tex]

Step-by-step explanation:

Replace y with f(x).

[tex]y = 3x - 2[/tex]

Swap x and y and solve for y

[tex]x = 3y - 2[/tex]

[tex]x + 2 = 3y[/tex]

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

Helllllpppppppp!!!!!

Answers

Answer: The correct answer is C

Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest

.
Which of the following is
an irrational Number?

Answers

Answer:

C

Step-by-step explanation:

Because it has no pattern, isnt repeating, and isnt a whole number.

The answer is c hope this helps

a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)

b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million

Answers

A general linear equation is given by:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

[tex]y = 0.033*x + 1.269[/tex]

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]

So the linear equation is something like:

[tex]y = 0.033*x + b[/tex]

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]

Then the linear equation is:

[tex]y = 0.033*x + 1.269[/tex]

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

[tex]y = 0.033*48 + 1.269 = 2.853[/tex]

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

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Using the whole number 5, Define the additive inverse and the multiplicative inverse

Answers

Given : The whole number is 5.

Explanation

We use the whole number 5.

The additive inverse of 'a' is -a

a+(-a)=0

For the whole number 5, the additive inverse of 5 is -5

Multiplicative inverse of 'a' is [tex]\frac{1}{a}[/tex]

because [tex]a \cdot \frac{1}{a}=1[/tex]

So the multiplicative inverse of 5 is [tex]\frac{1}{5}[/tex]

Learn more :  brainly.in/question/9248396

find the radius of a circle that has an area of 803.84 cm squared

Answers

Answer:

Radius = 16

Step-by-step explanation:

Area = πr²

803.84 = 3.14(r²)

256 = r²

√256 = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A loaded moving truck is traveling 25 mph faster than a freight train. In the time it takes the train to travel 90 miles, the truck travels 140 miles. Find the speed of the truck.

Answers

Answer:

70

Step-by-step explanation:

if the train is traveling 90 miles in 2 hours then its going 45 mph so 25 + 45 = 70 and 70 mph is 140 in 2 so then the equation is true

what are the Properties of real numbers for 6425

Answers

Step-by-step explanation:

Properties of the number 6425

Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975

WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW UR WORK:

89.9cm to m.

Answers

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

divide the value in centimeters by 100 because 1 meter equals 100 centimeters.

So, 89.9 centimeters = 89.9÷ 100 = 0.899 meter.

6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes

Answers

Finds how much is needed for 1 costume by dividing 6 3/4 by 3

6 3/4 /3 = 2 1/4 yards per costume.

Multiply yards per costume by 7:

2 1/4 x 7 = 15 3/4 yards total needed.

[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]

1costume

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]

7costumes

[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]

[tex]\\ \rm\hookrightarrow 27yards[/tex]

The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute

Answers

Answer:

15.87%

Step-by-step explanation:

*Probability-Below 15.87%

Z1=-1

*x-1 38

*µ 44

*σ 6

The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

What is z-score?

The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

Formula for z-score

z = (x -μ)/σ

Where,

Z is standard score.

x is observed value.

μ is mean of the sample.

σ is standard deviation of the sample.

What is probability?

The area under the normal distribution curve represents probability.

According to the given question.

Mean, μ = 44

Standard deviation, σ = 6

Observed value, x = 38

Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]

So, the are P(z > -1) = 15.87%

Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

Find out more information about z-score and probability here:

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solve the equation
5(2x + 8) = - 33 +53

Answers

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

please help

answer choices are:

A. 46°

B. 67°

C. 115°

D. 134°​

Answers

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC .  Congruent angles

∠XAC = 1/2(46) = 23° .  because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° .  Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

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35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please help me show how to get 17 401​

Answers

Well umm check calculator again maybe you did a mistake in typing one of the numbers

(1.02)
Evaluate the following expression using the values given:
Find 3r2 – 5s + 6t if r = 2, s=-4, t = -1
O 38
O 26
O -2
O -14

Answers

Answer:

-14

Step-by-step explanation:

3r2-5s+6t

3.2.2-5(-4)+6.(-1)

12-20-6

12-26

-14

Answer:

(3r2 -5s +6t if r=2 s= -4 t= -1 ) =-2

The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
pls answer maheshsinghmeenu sister​

Answers

Answer:

(a+b+c) (x+y+z)

Step-by-step explanation:

hope this helps to uh

Step-by-step explanation:

x+y+z+bx+by+bz+cx+cy+cz

Take Like terms

x+bx+cx+y+by+cy+z+bz+cz

x(b+c)+y(b+c)+z(b+c)

(x+y+z)(b+c)

hope it helps

Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5

Answers

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

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