Answer:
a. Degree 4; 2 terms
b. Degree 2; 3 terms
c. Degree 3; 1 term
Step-by-step explanation:
Here, all you need is a few definitions. The "degree" of a polynomial is just the highest exponent you see, and be careful with this, because sometimes the exponents won't be arranged from high to low. In this case, they are. In a polynomial, a "term" is basically anything that sits between a plus/minus operation (i.e in 5x + 4, 5x and 4 are both "terms").
a. What's the highest exponent you see? 4. So the degree is 4. You have 5x^4 and 8 separated by a minus sign, so that'll be 2 terms.
b. The highest exponent here is just 2, so it's a degree 2 polynomial. Two minus signs, so count 'em up: 3 terms.
c. Highest exponent is 3, and since 9m^3 sits on its own, you only have the one term.
Note that something like 3abc is one term. 3a/b is also one term. So is 4ab^2cd. If it's being multiplied or divided, they're together like a family. Addition or subtraction separates terms; multiplication and division don't.
Answer:
(5/6)x²
Step-by-step explanation:
The area of a triangle is given by the formula
A = (1/2)bh
Here, the base is 5/3x, and the height is x. So, the area is ...
A = (1/2)(5/3x)(x) = (5/6)x²
Cos
θ
=
√
5
3
or it could be cos
θ
=
√
5
−
3
Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5
Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
