The last option 0.353 pounds per cubic foot

The coordinates of the vertices of quadrilateral ABCD are A(−4, −1) , B(−1, 2) , C(5, 1) , and D(1, −3) .

finlep [7]

Hi there, KawallPotato! :)

Finding the slope of a line is finding the rise over run, or the change in y over the change in x. Let me show you what I mean.

Slope = change in y / change in x

Or in other words, $\frac{y2 - y1}{x2 - x1}$

Let's try it with AB. The first thing to consider is the placement of the letters. The blank space is asking for the slope of point A to point B, which means that the coordinates of A are your y₁ and x₁ values and the coordinates of B are your y₂ and x₂ values.

Put them in the equation like this:

$\frac{2 - (-1)}{-1 - (-4)}$

2 - (-1) is a double negative, so it becomes 2 + 1, which is 3.

-1 - (-4) turns into -1 + 4 for the same reason. The change in x is also 3.

$\frac{3}{3} = 1$ , so the slope of line AB is 1.

Using the same method, we can solve the next three problems.

Coordinates of B: (-1, 2)

Coordinates of C: (5, 1)

Slope: $\frac{1 - 2}{5 - (-1)} = \frac{-1}{5+1} = -\frac{1}{6}$

The slope of BC is -1/6.

Coordinates of C: (5, 1)

Coordinates of D: (1, -3)

Slope: $\frac{1 - (-3)}{5 - 1} = \frac{1 + 3}{5 -1} = \frac{4}{4}$ , so the slope is 1.

Coordinates of A: (-4, -1)

Coordinates of D: (1, -3)

Slope: $\frac{-1 - (-3)}{1 - (-4)} = -\frac{2}{5}$

The slope is $-\frac{2}{5}$ .

Quadrilateral $ABCD$ is not a parallelogram because it has only one pair of parallel opposite sides.

I hope this was helpful. Have a great day. :D

5 0

2 years ago

Lin is reading a 47 page book . She read the first 20 pages in 35 minutes. If she keeps reading at the same pace, how long will

Damm [24]

Answer:

It will take her 1 hour, 22 minutes, and 15 seconds.

Step-by-step explanation:

We can find how long it takes her to read one page if we take 35 divided by 20.

35/20 equals 1.75, which means it takes Lin 1.75 minutes to read 1 page.

If we multiple 1.75 times the 47 pages of the book, we get 82.25.

But, this does not mean that it takes Lin 82 minutes and 25 seconds to read the book. Since there are only 60 seconds in one minute, we must convert the .25 to seconds.

.25 is equivalent to 1/4, and 1/4 of 60 seconds is 15 seconds.

It would also look like this $\frac{1}{4} *\frac{60}{1} = \frac{60}{4} = 15$

So it took Lin 82 minutes and 15 seconds to read the book.

Or it took her 1 hour, 22 minutes, and 15 seconds to read the book.

6 0

2 years ago

What is the value of x

aivan3 [116]

The original value of x was negative, then –x, the opposite-signed version of x, would have to be positive. For instance, if I start with x = –3, then –x = –(–3) = +3, which is positive.

8 0

3 years ago

Tyler has 3 times as many books as Mai.

White raven [17]

Answer:

a. x divided by 3

Step-by-step explanation:

because if Tyler has 3 times more books than Mai, then Mai has 3 times fewer books than Tyler.

4 0

2 years ago

Read 2 more answers

it takes a hospital dietitian 15 minutes to drive from home to the hospital, a distance of 14 miles, what is the dietitian's rat

scoundrel [369]

Hi. Good?

To solve is to use the formula:

D = v.t

14 = v. 15
v= 14/15
v = 0,9333..mpm

15m = 900s

14 = v. 900
v=14/900
v=0,01555...mps

I put the result in miles per minute and miles per second.

Thanks, I hope I have helped.

3 0

2 years ago