20 POINTS!!!!!!!

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

So the first one is -0.5 and second is -0.5 the third one is -0.5 and the fourth is -0.25 so I would say that is D

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I don't understand this please help :( :/

Lena [83]

Okay. The equation is the way to figure out how much can be put into the suitcase.

What you do is substitute the various weights for w, and see if the equation is true.
So, 42 + w ≤ 50.
If you use the wieght of the books, 10lb, it looks like this: 42 + 10 ≤ 50. If you solve that, the equation isn't true, so you can't put the books into the suitcase.

7 0

3 years ago

On a coordinate plane, square p q r s is shown. point p is at (4, 2), point q is at (8, 5), point r is at (5, 9), and point s is

Masteriza [31]

A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of a line is given by the following formula;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

For line RP, we have:

$Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}$

Slope RP = 7.

For line SQ, we have:

$Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}$

Slope SQ = negative one-sevenths.

For the midpoint, we have:

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.

Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.

In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.

Read more on squares here: brainly.com/question/2882032

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