Factor this trinomial completely.

The table shows the heights and the lengths of several rectangles.

Harman [31]

Answer:

Weak Positive Correlation

Step-by-step explanation: I think that’s correct not 100 percent sure

8 0

2 years ago

Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank

Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3>Solution:</h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

Andy is taller than Dan but shorter than Ethan

So the arrangement goes like this:

Ethan

Andy

Dan

Bill is taller than Ethan and Frank:

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

Cory is shorter than Dan.

So cory can be placed below Dan.

Thus final arrangement from tallest to shortest boys are:

Bill

Frank

Ethan

Andy

Dan

Cory

5 0

3 years ago

Please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth

kipiarov [429]

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

Translate the problem:

"The length of a rectangle is 3 ft longer than its width" means

L = 3 + W (eq1)

"the perimeter of the rectangle is 30 ft" means

P = 30 (eq2)

So, now the math is easy, just find L and W so we can compute the area:

P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)

30 = 2(3+W) + 2W (use eq1 to substitute for L)

30 = 6 + 2W + 2W (distribute)

30 = 6 + 4W (collect terms)

24 = 4W (subtract 6 from both sides)

6 ft = W (divide both sides by 4)

Use the easiest equation (either eq1 or else eq3) to find L:

L = 3 + W (eq1)

L = 3 + 6

L = 9 ft

What is the area (A)?

A = L*W

A = (9 ft)*(6 ft)

A = 54 sq ft

3 0

2 years ago

Which function transforms the graph of y= x^2 so that it is first shifted down 4 units and its then reflected across the y- axis

GaryK [48]

Answer:

Option C. y= ( -x)^2 -4

Step-by-step explanation:

If we have a function $f(x) = ax ^ 2$ and we want to transform it into a function g(x) that is equal to f(x) displaced c units down on the y-axis, then we must do: