Answer:
1/6
Step-by-step explanation:
Answer: Option D.
Step-by-step explanation:
A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.
Then any figure that can be cutin exactly two halves, is a correct answer to this question.
Then:
For a circle, the line of symmetry is the diameter of the circle.
For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.
For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.
Then all the figures are correct options, then the correct option is D
Answer:
The difference is a binomial with a degree of 6
Step-by-step explanation:
Given:
a^3b + 9a^2b^2 − 4ab^5 and a^3b − 3a^2b^2 + ab^5
Let A = a^3b + 9a^2b^2 - 4ab^5
B= a^3b - 3a^2b^2+ab^5
The difference between A and B is
A - B = a^3b + 9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2 + ab^5)
Open parenthesis
A - B= a^3b + 9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2 - ab^5
= a^3b - a^3b + 9a^2b^2 + 3a^2b^2 - 4ab^5 - ab^5
= 12a^2b^2 - 5ab^5
The fist term 12a^2b^2 has 2+2=4 as a degree
The second term 5ab^5 has 1 +5 =6 as a degree
Therefore,
the answer is: The difference is a binomial with a degree of 6
Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
Answer:
6^10
Step-by-step explanation:
