Write an equation that expresses the relationship between the side lengths of each triangle

PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤

vfiekz [6]

<h3>Answer: Choice B</h3>

The set notation includes all values from -5 to 0, but the domain only includes the integer values

eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}

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Further explanation:

Let's go through the answer choices one by one

A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that $-5 \le x \le 0$ is the correct order as well.
B. This is true. A value like x = -1.2 is in the set $\left\{x| -5 \le x \le 0\right\}$ since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write $\left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}$ . The portion $x \in \mathbb{Z}$ means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers".
C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
D. This is false. Writing $-5 \ge x \ge 0$ would not make any sense. This is because that compound inequality breaks down into $-5 \ge x \ \text{ and } \ x \ge 0$ . Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.

8 0

2 years ago

You went to the mall with $80. You spend 25% of the money on shorts and 65% of the remainder on sandals. How much did the sandal

sukhopar [10]

25% of 80

25/100 or 1/4 x 80 = 20

So $20 were spent on shorts, then $60 were left over.

65% of 60 on sandals.

so 65/100 x 60 = 39

So we can see that the sandals cost $39.

7 0

3 years ago

Graph quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3) and its image after the translation (x,y)→(x−5,y−2)

maria [59]

The graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have:

Quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3)

We can graph it on the coordinate plane as shown in the picture.

After applying the translation (x, y)→(x−5, y−2), the points becomes:

A'(-3, -5)

B'(-2, 3)

C'(1, 4)

D'(0, -5)

Similarly, we can graph it on the coordinate plane (refer attached picture)

Thus, the graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

Learn more about the quadrilateral here:

brainly.com/question/6321910

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