Section 2.3 Tell whether the statement is true or false. {5,6,11}={0,5,6,11}

Answers

Answer 1

Answer:

Answer:

t the statement is true .

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Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

Answers

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

How to use distance formula?

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

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Answer:

$d = √(13)$ or d = 3.61

Step-by-step explanation:

$d= √((x_2-x_1)^2+(y_2-y_1)^2)\nd= √((2-(-1))^2+(8-6)^2)\nd= √((3)^2+(2)^2)\nd= √(9+4)\nd= √(13)$

8 1/2 is an example of an improper fraction.
true or false?

Answers

It is false!!! 8 1/2 is a mixed number!! when they have a whole number in front of it such as 8, or etc. and also. fraction... it's. mixed fraction! an improper fraction is like 57/4!! a big number over a smaller number!

!!!!!!!!50 POINTS!!!!!!!!!!!!Suppose a square has a side length by the expression x+5/8x. What is the perimeter of the square?

Answers

This is equal to (x -5)(x - 5), or (x - 5)².
Therefore, using the formula given above, the side's length is equal to (x - 5).

Muliply that by four to obtain the perimeter.

4(x - 5) = 4x -20.

For the second problem, disregard the brackets since there are no other operations besides subtraction and addition.

So it would become 3x^4 -x + 2 + 9x^5 - x² + x.

Now simplify everything and rewrite it in decreasing terms of power,

9x^5 + 3x^4 - x² + 2.

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

$2x^3 + 18x^2 -18x -162 = 2(x+k)(x-k)(x+9)$

$2(x+k)(x-k)(x+9) =2x^3 + 18x^2 -18x -162$

$2(x^2-k^2)(x+9)=2x^3 + 18x^2 -18x -162$

$2(x^3+9x^2-k^2 x+9k^2)=2x^3 + 18x^2 -18x -162$

$2x^3 + 18x^2 -2k^2x+18k^2= 2x^3 + 18x^2 -18x -162$

comparing both sides

$2k^2 =18$

$k^2=9$

$k=3$

hence answer is k = 3(plus/minus) : Answer

Hope it will help :)

Your Answer:

k = 3

Hope this helps y'all :)

Kelly joins Powerhouse Gym. The cost is $30 per month and a one-time $100 joining fee. Lisa joins MegaMuscle Gym for 35$ per month and a 50$ joining fee. In how many months will Lisa have paid more then Kelly?

Answers

11 months

130 - 85
160 - 120
190 - 155
220 - 190
250 - 225
280 - 260
310 - 295
340 - 330
370 - 365
400 - 400
430 - 435

A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

#lbs x $/lb = Total

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

#lbs x $/lb = Total

T 9

K 13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

#lbs x $/lb = Total

T 9

K 13.50

Mix 50 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

#lbs x $/lb = Total

T x x 9 = 9x

K 50 - x x 13.50 = 675 - 13.50x

Mix 50 x 9.54 = 477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

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