Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
Answer:
(-3, 2)
Step-by-step explanation:
I think because of the vertex
Answer:
Yes
Step-by-step explanation:
Answer:
![\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%5C%3A%5C%3Aand%5C%3A%5C%3A%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
Step-by-step explanation:
<u>Definitions</u>
Integer: A whole number that can be positive, negative, or zero.
Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).
Irrational Number: A real number that <u>cannot</u> be written as a rational number.
Therefore, -8.2183 can be expressed as a <u>rational number</u>.
π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.
![\sqrt[\sf 3]{\sf 25}](https://tex.z-dn.net/?f=%5Csqrt%5B%5Csf%203%5D%7B%5Csf%2025%7D)
is an irrational number.
As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.
<u>Conclusion</u>
Therefore, the numbers that are irrational are:
Answer:
Part A: 7.58974359 gallons (I don't know if you needed to round so I kept the full number).
Part B: 8.871794872 gallons
Step-by-step explanation:
Part A's Steps:
First Step: 350 - 54 = 296
Second Step: 296 ÷ 39 = 7.58974359 (Round if you need to)
Part B's Steps:
First Step: 296 + 50 = 346
Second Step: 346 ÷ 50 = 8.871794872
