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Andrej
7 days ago
5

Is it possible to form a square whose area is 18 by connecting four lattice points? Explain.

Mathematics
1 answer:
babunello [8.4K]7 days ago
5 0
Observe the squares... 13 is attainable owing to it being expressible as the sum of two squares (integers) 9 + 4.. utilize (0,3) and (2,0)... derive the square roots and assign them to different coordinate axes... for a more straightforward value. However, no such representation exists for 15... There is a representation available for 18... 18 = 3^2 + 3^2... try (0,3), (3,0), (3,6), (6,3).
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Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m
lawyer [9248]

Answer:

together they rake \frac{y+x}{xy} leaves in one minute.

Step-by-step explanation:

If Maya takes x minutes to rake, then in one minute, she rakes \frac{1}{x} leaves.

For Carla, if her raking takes y minutes, in one minute she rakes \frac{1}{y} leaves.

Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in: \frac{1}{x}+ \frac{1}{y}

Finally, simplifying this expression gives:

\frac{1}{x}+ \frac{1}{y} =\frac{y+x}{xy}

As a result, they collectively rake \frac{y+x}{xy} leaves in a minute.

8 0
7 days ago
Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C di
Leona [9271]

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

\frac{4.5}{sin15^0} = \frac{6}{sin

cross-multiply

4.5 * sin

Thus, the angle <CAB measures 20.19°

8 0
1 month ago
Explain why the following expression is false. |x| &lt; -4
Zina [9184]

Step-by-step explanation:

When a negative number is placed within a modulus function, the result will be positive. For instance, |-3| equals 3, |-6| equals 6, and |5| equals 5, etc.

A modulus function, expressed as |x|, is always positive unless x is zero, in which case it equals zero.

Consequently, |x| cannot be less than -4 because |x| is always non-negative. Thus, the statement is inaccurate.

8 0
20 days ago
You have diving lessons every fifth day and swimming lessons every third day. Today you have both lessons. In how many days will
lawyer [9248]
You will achieve this in 15 days. Both 5 and 3 have a least common multiple of 15.
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11 days ago
Vinny is serving punch to guests at a party. He has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cu
PIT_PIT [9132]
To determine how many 3/64 gallon servings can be filled from a total of 2/3 gallon of punch, perform the division of 2/3 by 3/64. The outcome is not a whole number, but this method illustrates the solution. Vinny's total is 2/3 of a gallon of punch, with each guest receiving a measure of 3/64 gallon, which tells us how many can be accommodated by performing<span> (2/3) / (3/64).</span>
7 0
19 days ago
Read 2 more answers
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