keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

well then therefore

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

Answer: False.
Step-by-step explanation:
There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1
The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.
So the statement is false
9514 1404 393
Answer:
C 24
D 25
Step-by-step explanation:
Consider the choices offered:
5 and 7 will not form a triangle* with any of the other lengths
7 and 12 will not form a triangle with any of the other (longer) lengths
7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)
7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.
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<em>Further consideration</em>
7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem
The side measures 7, 24, 25 will form a right triangle.
_____
* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.
<h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
An exponent represents repeated multiplication. For example, ...
... x^3 = x·x·x
... x^2 = x·x
If we divide these, the x's in the denominator cancel an equal number in the numerator:
... (x·x·x)/(x·x) = x
If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:
... (x^3)/(x^2) = x^(3-2) = x^1 = x
Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.
It is 1/10 times the value represented in the 2 in 423.
It is 10 times the value represented in the 2 in 72