Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
try x= 4z/y
Step-by-step explanation:
Answer:
An acute angle ("acute" meaning "small") is an angle smaller than a right angle. The range of an acute angle is between 0 and 90 degrees.
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Protractor: an instrument for measuring angles, typically in the form of a flat semicircle marked with degrees along the curved edge.
Degrees: a unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle.
Right Angel: an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
Straight Angle: an angle of 180°.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Its C because its x (a variable) and is costanly changing
Answer:
6/3
Step-by-step explanation:
The answer is 6/3 because if you go up 6 and the the right 3, you reach the point that hits the line.
