How do you get 40y from the difference of 2 squares with the problem (5y+4+3x)(5y+4-3x)? I understand distribution method. I don't know where the 40y comes from using the special product method.

Answers

Answer 1

Answer:

Step-by-step explanation:

(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )

by identity : (a+b)(a-b) = a² - b²

in this exercice ; a = 5y+4 and b  = 3x


Related Questions

9tens 10 ones equals how much hundred

Answers

9(10s) is 90 and 10 (1’s) 90+10 100 so 1 100?

sum of 2/3 + (-1/3) i cant find the answer

Answers

Answer:

1/3

Step-by-step explanation:

2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.

Answer:

1/3

Step-by-step explanation:

2/3 + (-1/3) is the same as 2/3-1/3 which is 1/3

Proving Triangles Congruent using SSS, SAS, AAS and ASA

Answers

Answer:ssssssss

Step-by-step explanation:

Final answer

Triangle FAD and triangle BEC is congurent by SSS rule

Explanation

For port (a), determine whether the triangles are congruent by SSS or SAS. If not congruent. wille "not congruent." If congruent, write a congruency statement

From figure 11

We can clearly see that pq is a common line foe both the triangle

FD=BE (COMMON)

FA=BC (GIVEN)

AD=EC (given)

Then we can sat that:

triangle FAD and triangle BEC is congurent by SSS rule

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A shirt costs $7.97 including tax, and
a pair of shorts costs $18.49 including
tax. What is the amount of change for
a pair of shorts and two shirts if paying
with a $50 bill?
A. $15.57
B. $23.54
C. $26.46
D. $34.43

Answers

I believe the answer is D. $34.43

C. 26.46 is the answer just add.

What is 4000,000 rounded to the nearest ten point housads

Answers

You have the comma in the wrong place.

It's 4,000,000 NOT 4000,000.

Round[4,000,000, 10]

Answer: 4 million

What is the slope of the function?
-6
-4
4
6

Answers

Answer:

i think its -4

aka B

Step-by-step explanation:

Answer:

(B) -4

Step-by-step explanation:

Complete an algebraic expression for the verbal expression.
two thirds the square of a number

Answers

Answer:

The algebraic expresion is, (2/3)X^2

Step-by-step explanation:

The two thirds are 2/3

When you square a number, you do x.x, or X^2

Lori borrowed $3000 from her bank for 6 months. It was a fixed installment loan at 7.5%. How much were her 6 monthly payments?

Answers

Answer:

Her 6 monthly payments totaled in $225, $37.5 payed per month.

Step-by-step explanation:

7.5% of $3000 is

[tex]3000 \times 0.075 = 225[/tex]

If Lori needs to pay back $225 over a period of 6 months, with monthly payments, that means Lori is paying her bank

[tex]225 \div 6 = 37.5[/tex]

$37.5 per month.

Answer:

The monthly payment of Lori per month is $37.5

Solution:

Given that Lori borrowed $3000 from bank for 6 months at fixed installment loan of 7.5 %

So the amount borrowed by Lori is given as,

= 7.5% of 3000

[tex]= \frac{7.5}{100} \times 3000[/tex]

[tex]= 7.5 \times 30[/tex]

= 225

So the total payments for 6 months is 225. Lori’s monthly payment can be found out by dividing the total payment by 6 months.

Monthly payment of Lori = [tex]\frac{225}{6}[/tex] = 37.5

So Lori has to pay $37.5 per month over a period of 6 months.

Hence the 6 monthly payment of Lori is $37.5

find the least common denominator of the fractions 2/8 and 3/5

Answers

Answer:

40

Step-by-step explanation:

2/8 = 10/40

3/5 = 24/40

Final answer:

The least common denominator (LCD) of the fractions 2/8 and 3/5 is found by prime factorizing each denominator and then multiplying each fraction by the missing factors from the other denominator to get a common denominator, which in this case is 40.

Explanation:

To find the least common denominator (LCD) of the fractions 2/8 and 3/5, you would follow certain steps. First, since the denominators are not the same, you need to prime factorize each denominator. For 8, the prime factorization is 2 x 2 x 2, and for 5, it is simply 5 because it is already a prime number. To find the LCD, multiply each fraction by a fraction that is equal to "1", consisting of the missing factors from each denominator. In this case, we will multiply 2/8 by 5/5 and 3/5 by 8/8 to make the denominators the same.

The next step is to multiply the numerators and denominators accordingly. This gives us new fractions: 10/40 (from 2/8) and 24/40 (from 3/5), with a common denominator of 40. Hence, 40 is the LCD of 2/8 and 3/5.

If you were adding or subtracting these fractions, you would then be able to combine the numerators over the LCD. However, for this problem, we are only finding the LCD, so our work is complete.

Can someone help me please!!

Answers

Answer:

first do addition of x no.

Which statements are correct? Check all that apply.
Arc GF is a major arc.
One major arc is GHE
Arc FE is a minor arc.
The measure of FE IS 41°
The measure of GCF is equal to the measure of
GDE
Arc GHE is a semicircle.

Answers

Answer:

The correct ones are:

B. One major arc is GHE

C. Arc FE is a minor arc.

D. The measure of FE IS 41°

Answer: B,C,D

Step-by-step explanation: just did it

What type of number is -560,114? 1. Whole number 2. Integer 3. Rational 4.Irrational

Answers

Answer:

2 and 3

Step-by-step explanation:

2 because integers are counting numbers (1,2,3,...) zero, and their opposites ( 1 and -1). 3 because a rational number is any number can be written is the form a/b where a and b are integers but b is not 0 ( i can explain this further) or is a decimal that either ends or has a repeated pattern

Please answer this correctly

Answers

Answer:

Jenny swam more laps.

Step-by-step explanation:

Lets take this step by step. If Edith swam fewer laps than Shira but more than Gemma, then G < E < S. If Jenny swam more than Shira, then that means Gemma swam the fewest, then Edith, then Shira, and finally Jenny who swam the most laps.

Answer:

Jenny

Step-by-step explanation:

The reason why it's Jenny is because if Edith did not swim more laps that Shira but more laps than Gemma, that means Edith is second to last. Gemma is last because she did not swim more laps than anyone. Jenny would have swam the most laps out of the four girls.

Hope this helps! Good luck!


Which is further from +1: -7 or +3? Explain how you know

Answers

Answer:

-7 most definitely.

Step-by-step explanation:

Ok for this you will use absolute value. Absolute value of -7 is 7, and absolute value of 3 is 3. After taking the absolute value, compare the distance by subtracting every value by 1. Whichever value has the largest leftover will be further. This can also be done on number line by plotting it evenly and checking which distance is farther apart.

Answer:

-7

Step-by-step explanation:

If you were to draw a number line and you drew where 1 was, and where 3 and -7 where, which one would have the larger distance? It would be -7.

will 3*f(2)= f(3*2)? for any function f(x)? Explain.

Answers

Answer:  No

Step-by-step explanation:

Let f(x) = x² + 1

then 3*f(2) = 3[(2)² + 1]

                  = 3[4 + 1]

                  = 3[5]

                  = 15

f(3*2) = f(6) = (6)² + 1

                  = 36 + 1

                  =  37

3*f(2) ≠  f(3*2)

If heat is released from water, what phase change occurs? A) gas to solid B) solid to gas C) liquid to solid D) solid to liquid

Answers

Answer:

ANSWER:  D: GAS TO LIQUID

Step-by-step explanation:



which transformation could have taken place to map ABC to ABC

a reflection and a dilation

a rotation and a dilation

a translation and a dilation

a reflection and a translation​

Answers

Answer:

Step-by-step explanation:

translation and a dilation

The transformation that could have taken place to map ΔABC to ΔA'B'C' : a translation and a dilation

What is reflection?

"All the points of a geometric figure are reflected on a line called the line of reflection."

What is dilation?

"It is a geometric transformation in which the transformed figure has same shape as the original, but is a different size."

What is translation?

"It is a geometric transformation in which there is change in the position of the geometric figure without changing its shape."

For given question,

ΔABC is transformed to ΔA'B'C'

There is change in the position of ΔABC when it transformed to ΔA'B'C'

This means, ΔABC is translated to ΔA'B'C'

Also, there is change in the size of ΔA'B'C'

This means ΔABC is dilated to ΔA'B'C'

Therefore, the transformation that could have taken place to map ΔABC to ΔA'B'C' : a translation and a dilation

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-4(2x+5)=5(-2x-3) lhs= rhs=
answer pls

Answers

This is NOT an identity. Therefore lhs cannot equal rhs. x=5/2

A rectangular family room is 18 feet long and 14 feet wide.
Mr. Herzog has pieces of chair rail that are each 16 feet long
that he wants to install around the perimeter of the room. How
many pieces of chair rail will Mr. Herzog need?​

Answers

Answer:

4 pieces of chair rail are needed

Step-by-step explanation:

Step 1: Calculate the perimeter of the room

Perimeter of rectangle = 2L + 2B

Length = 18

Breadth = 14

Perimeter of room = 2(18) + 2(14)

Perimeter of room = 64 feet

Step 2: Calculate the pieces of chair rail needed

Perimeter of room = 64 feet

Length of each chair rail = 16 feet

Total chair rails needed = Perimeter of room/length of each chair rail

Total chair rails needed = 64/16

Total chair rails needed = 4

Therefore, Mr. Herzog needs 4 pieces of chair rails.

Given ΔMNO, find the measure of ∠MNO. Triangle MNO with segment LM forming a straight angle with segment MO and segment OP forming a straight angle with segment MO, the measure of angle NOP is 104 degrees, and segment MN and NO are marked congruent. 28° 38° 52° 76°

Answers

Applying the properties of an isosceles triangle and the sum of a triangle, the measure of angle MNO is: a. [tex]28^{\circ}[/tex]

The figure showing ΔMNO is in the attachment below.

ΔMNO is an isosceles triangle because sides MN and NO are congruent.

Also, the angles opposite each of the congruent sides will be equal also. i.e. m<NOM = m<NMO.

Given:

m<NOP = 104 degrees

Thus:

m<MNO = [tex]180 - 2(180 - m\angle NOP)[/tex] (isosceles triangle)

Substitute

m<MNO = [tex]180 - 2(180 - 104)[/tex]

[tex]m<MNO = 180 - 2(76)\\\\m<MNO = 180 - 152\\\\m<MNO = 28^{\circ}[/tex]

Therefore, applying the properties of an isosceles triangle and the sum of a triangle, the measure of angle MNO is: a. [tex]28^{\circ}[/tex]

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Answer:

28°

Step-by-step explanation:

I had made a mistake and somehow got 38° but that is incorrect.

what you do is 1st subtract 180°-104° which equals 76

Then divide it by 0.5 (which means one-half) your answer should be 152.

After, subtract 152 from 180. Thus concluding the answer is 28°.

I hope no one makes the mistake I did. I forgot how I did it but the steps listed above are the correct steps. Have an amazing day brainly users.

what is this answer?

Answers

Answer:

3n^2 AKA C would be the answer.

Step-by-step explanation:

Reason: any number 1-9 is a mononomial number. Coefficient of three just means to add a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

what is the scientific notation of 0.00093​

Answers

Answer:

9.3 x 10 to the 4th power

Step-by-step explanation:

Put the decimal between the 9 and 3 to get 9.3.

Then ask yourself how far the decimal is from 0.

Put that number as a power of 10.

So, you get 9.3 x 10 to the 4th power

The required scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].

The scientific notation of a number is expressed in the form of "[tex]a\times 10^b[/tex]", where "a" is a decimal number greater than or equal to 1 but less than 10, and "b" is an integer representing the exponent.

To convert 0.00093 to scientific notation, we count the number of decimal places we need to move to the right until we have a single non-zero digit in front. In this case, we need to move four decimal places:

[tex]0.00093 = 9.3 \times 10^{-4}[/tex]

So, the scientific notation of 0.00093 is [tex]9.3 \times 10^{-4}[/tex].

Learn more about scientific notation here:

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What is 299,864 times 5?

Answers

Answer:

1,498,420

Step-by-step explanation:

it takes the earth 365 days to complete a full orbit around the sun takes Jupiter approximately 4332 days 14 hours and 9 minutes to complete a full orbit round the Sun how many years does it take Jupiter to complete a full orbit around the sun show your work use conversation factor​ HELP

Answers

Answer:

It takes Jupiter 11.87 years to complete a full orbit around the sun

Step-by-step explanation:

* Lets explain how to solve the problem

- It takes the earth 365 days to complete a full orbit around the sun

- It takes Jupiter approximately 4332 days 14 hours and 9 minutes to

 complete a full orbit round the Sun

- We need to know how many years it takes Jupiter to complete a

 full orbit around the sun

* Lets put the time of Jupiter by days only by change the minutes and

 the hours to days

∵ 1 day = 24 hours

∵ 1 hour = 60 minutes

∴ 9 minutes = 9 ÷ 60 = 0.15 hours

∵ There are 14 hours

∴ 14 + 0.15 = 14.15 hours

∵ 1 day = 24 hours

∴ 14.15 hours = 14.15 ÷ 24 = 283/480 days

∵ There are 4332 days

∴ 4332 + 283/480 = 4332.59 days

∴ takes Jupiter approximately 4332.59 days to complete a full

  orbit round the Sun

- To find how many years divided the number above by the number

 of days in one year

∵ There are 365 days in a year

∴ The number of years = 4332.59 ÷ 365 = 11.87 years

* It takes Jupiter 11.87 years to complete a full orbit around the sun

11x=8x-6 please help me with this I don’t understand the reps or how to simplify the equation

Answers

Answer:

when simplified this gives you:

x = -2

Hope this helps.

-8x on both sides than divide by 3 on both side x=2

2407 - -8 how do you do this type of problem

Answers

Answer: 2415

Step-by-step explanation:

2407 - -8

2407- -8 is the same as 2407 take away -8.

When you take away negative numbers, the answer becomes more positive

Hence 2407- -8 is the same as make 2407 more positive by 8

That means 2407- -8 is the same as 2407+8

2407+8=2415

Mr. Wong has between 300 and 1,000 small prizes to divide evenly among his
tudents over the course of the school year. He will give away as many prize
ossible. Estimate the number of small prizes each of Mr. Wong's 9 students
ceive if he had exactly 893 prizes to give away​

Answers

He will give about 99 prizes to each student

To estimate the number of small prizes each of Mr. Wong's 9 students will receive if he had exactly 893 prizes to give away, divide the total number of prizes by the number of students: 893 / 9 ≈ 99.

Mr. Wong has 893 small prizes to divide among 9 students. To estimate the number of prizes each student will receive, we divide the total number of prizes by the number of students:

Number of prizes each student will receive = Total number of prizes / Number of students

Number of prizes each student will receive = 893 / 9 ≈ 99

area of a triangle with a 19 inch base and 14 inch height

Answers

Step-by-step explanation:

base = 19 inch

height = 14 inch

[tex]area \: of \: triangle \: = \frac{1}{2} \: ( base)(height) \\ \\ area \: of \: triangle \: = \frac{1}{2} (19)(14)[/tex]

area of triangle = 133 inch² !!

How many driveways can you and your friend shovel if you work together for 5 hours each day for 2 days

Answers

Answer:

13 driveways with a quarter of an hour to spare

Step-by-step explanation:

To calculate the number of driveways you and your friend can shovel, we need the rate at which you can shovel one driveway. Multiplying this rate by the total hours worked will give the number of driveways shoveled.

To determine how many driveways you and your friend can shovel in the given time, we need more specific data about how long it takes for you to shovel one driveway. However, I will provide a general formula based on an assumption:

Let's assume you can shovel X driveways in 1 hour. Therefore, in 5 hours (a day), you can shovel 5X driveways. Over 2 days, this would be 10X driveways. Hence, if you work together for 5 hours each day for 2 days, together you can shovel 10X driveways, where X is the number of driveways you can shovel per hour.

solve the literal equation for c 4p+9c=p

Answers

4p+9c=p

move 4p to the other side

sign changes from +4p to -4p

4p-4p+9c=p-4p

9c= p-4p

9c= -3p

divide both sides by 9 to get c by itself

9c/9= -3p/9

c= -3p/9

reduce by dividing by 3

-3p/3= -p

9/3= 3

Answer:

c= -p/3

Answer:

c = -p/3.

Step-by-step explanation:

4p+9c=p

9c = p - 4p

9c = -3p

c = -3p/9

c = -p/3.

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