A polygon with 4 sets of parallel lines

Answers

Answer 1
Answer: A polygon with 4 sets of parallel lines would be an octagon.

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A student factors 3x2 – 12 to the following. 3(x2 – 4) Which statement about 3(x2 – 4) is true? A. The expression is equivalent, and it is completely factored. / B.The expression is equivalent, but it is not completely factored./ C. The expression is not equivalent, but it is completely factored./ D.The expression is not equivalent, and it is not completely factored.

Answers

Answer:

Option B is correct that is the expression is equivalent, but it is not completely  factored.

Step-by-step explanation:

We have given an expression

3x^2-12

when we take the common factor out which is 3 from the expression we will get

3(x^2-4)

This expression is equivalent but is not completely factored because the term

(x^2-4)\text{can be further factored as}(x-2)\text{and}(x+2)\text{from the formula}a^2-b^2=(a+b)(a-b)

Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent  

Option A is discarded  because expression is not completely factored.

 

B. The expression is equivalent but not completely factored.

You can continue to factor

3 (x^2-4) =

3 (x+2)(x-2)

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.Draining Swimming Pool
Hours Draining
Change in Water Level​ (in.)
2
3.5
9
​?
17
29.75
23
​?
The swimming pool is draining at a rate of
nothing inches per hour.
​(Type an integer or a​ decimal.)
Enter your answer in the answer box and then click Check Answer.

Answers

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

Final answer:

The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.

Explanation:

The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.

Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.

Learn more about constant of proportionality here:

brainly.com/question/8598338

#SPJ2

Suppose the expression a(b)n models the approximate number of customers who applied for a credit card every month since a bank opened,where a is the inital number of customers who applied,b is the rate of increase in the number of people who applied every month and n is the number if months since the bank opened. If the expression below models the number of applicants for a credit card,what is the correct interpretation of the second factor?

Answers

Answer:

i need it too

Step-by-step explanation:

Write an equation that involves multiplication, contains, a variable, and has a solution of 5

Answers

2x+6 = 16
     -6    -6
2x = 10
2x/2
10/2
x = 5

Hope this helps
The equation at the top is the answer and it has a solution of 5.

Find the Quotient. y9 divided by y3

find the quotient. 2^3 divided by 5^2

Answers

Step-by-step explanation:

y9 divided by y3

(y^9)/(y^3)

When the base of the exponent are same and they are in division then we subtract the exponents.

(y^9)/(y^3)=y^(9-3)=y^6

2^3 divided by 5^2

(2^3)/(5^2)

The exponents of base are not same, so we cannot subtract the exponents

2^3=8 , 5^2= 25

(8)/(25) = 0.32 is a decimal number

2^3/5^2= .32

I couldn't get it as exponential notation, but here is the final answer

y9/y3= y3

and these two, you just divide ad regular numbers and the insert the y

Hope this helped!!!

What’s the answer to the question

Answers

angle B would be 111° since a pentagon adds up to 540° total.

Answer:

the total angle of a five sided polygon is 540, hence angle a + e + d+ c = 540.

to find b, take 540 - 150 - 92 - 98 - 89 = 111 (the answer)