Answer:
yes
Step-by-step explanation:
14² +48² = 196 +2304 = 2500 = 50²
The three lengths (14, 48, 50) are a Pythagorean triple.
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<em>Additional comment</em>
The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.
We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.
Answer:
C
Step-by-step explanation:
A, B and D are all only a few digits long and can be expressed as the ratio of two integers, where at least one is even:
A = -6/16 = -3/8, so it's rational
B = 7.0398 = 35199/5000, so it's rational
D = 6,907 = 13814/2, therefore rational
C, on the other hand is irrational.
If we simplify the surd √8, we get 2√2. The 2's on the top and bottom can now cancel out, giving us √2, which is irrational. [There's a proof but it's kinda long].
Answer:
All rhombi are parallelograms.
All squares are rhombi.
No trapezoid is a rectangle.
Answer: y - 5 = -5/6 (x - 18)
Step-by-step explanation:
The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.
Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).
