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Marianna [84]
3 years ago
7

How does knowing the absolute value of an integer help in determining the distance of two ordered pairs?

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
Hey there!

The absolute value helps because when you the absolute value is the the distance of a number away from 0. Meaning that if your finding distance it will never be negative.

Finding the distance between the two is subtracting one of the numbers from each ordered pair from each other. Whether the number is negative or positive, you always turn it, or leave it into a positive number because distance is always positive.


Hope this helps !
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An isosceles triangle has an area of 32 cm2, and the angle between the two equal sides is 5π/6. Find the length of the two equal
taurus [48]
The area of a triangle can be determined by knowing 2 sides and their included angle of a certain triangle. Since both sides are equal, then they would just be denoted by a squared entity. This is done as follows:

A = x² sin∅
32 = x² sin (5*pi/6)

Make sure your calculator is in rad form.

32 = x² (1/2)
x = 8

Thus, each side is 8 cm. 
7 0
3 years ago
Max and Emma are discussing their math homework and disagree on the answer for one question. Max says that integers are closed u
hram777 [196]

A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

A closure property is a certain rule that holds <u>if it is true for all elements of a set under the given operation</u> and a closure property does not hold <u>if there is at least one pair of elements that do not follow the closure property under the given operation.</u>

Therefore, Emma is correct, because you can find a counterexample (7:2=3.5) that gives you a non-integer answer.

Answer: correct option is B

4 0
3 years ago
Jenna is a profesional typist. She can type 22,500 words in 5 hours of typing. In one hour she can type _____ words. In one minu
Gennadij [26K]
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5 0
3 years ago
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0
3 years ago
Simplify 6^7/6^5 in index form
Oksanka [162]

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } ⇔ a^{(m-n)} , then

\frac{6^{7} }{6^{5} }

= 6^{(7-5)}

= 6²

6 0
3 years ago
Read 2 more answers
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