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algol13
3 years ago
7

Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer: D. Quadrant IV

Step-by-step explanation: Numbers with a positive or negative sign are referred to be directed numbers. These numerals are easily found on the number line. 2, 5, -1, -3, -7, 9, and so on are some examples.

As a result: x > 0 and y 0 are both true.

Consider the case of specific directed numbers for x and y. Assume x = 5 and y = -2, and the following is true: (5, -2). In a Cartesian plane, this point can be found in the fourth quadrant.

As a result, in a Cartesian plane, the quadrant in which (x, y) might be found is Quadrant IV.

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Answer:

\frac{\sqrt[4]{3x^2} }{2y}

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use  \frac{a^x}{a^y}=a^{x-y}

Thus, we have:

\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}

We know 4th root can be written as "to the power 1/4th". Then we can use the property  (ab)^{x}=a^x b^x

<em>So we have:</em>

<em>\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}</em>

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<em>Option D is right.</em>

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Tucker made a scale drawing of a boarding school. The scale he used was 7 millimeters = 1 meter. What is the scale factor of the
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The scale factor of the drawing is 7/1 or 7 millimeters for every 1 meter (7/1).

Step-by-step explanation:

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3 years ago
How much money did bianca have?
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Answer:

The answer is A. Bianca had $8.

Step-by-step explanation:

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A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How man
JulsSmile [24]

Answer:

2520 ways

Step-by-step explanation:

We can solve this problem with 3 combinations:

First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120

Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21

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Now we just need to multiply the combinations to find the result:

C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways

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