First we need to multiply to make the fractions have equal denominators so we can add/subtract.
math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12
Now we can find the time she spent on history (I assume this is what you are looking for)
Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12
Amy spent 5/12 of her time working on history.
Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
Given a point in coordinates form

, one can compute the cartesian form like this:

We have:

We get the cartesian form then:
Answer:
The solution of the given trigonometric equation

Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given






<u><em>Step(ii)</em></u>:-
The solution of the given trigonometric equation

<u><em>verification </em></u>:-

put 


Both are equal
∴The solution of the given trigonometric equation

QUESTION:
When you factor a little perfect square trinomial, which pattern results?
ANSWER:
[2] The square of a binomial pattern.
EXPLANATION:
<u>Squaring a binomial creates a perfect square trinomial</u>:–