Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term
contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term
contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term
contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
Answer:
B, C, and E
Step-by-step explanation:
Let's consider each option given the graph shown above:
A. The ratio of x/y can be found using any point on the line, say, (5, 6). Thus, ratio of x/y = 5/6, not 6/5.
Option A is not correct.
B. If you check for y/x for any given point along the line, we would have the same result. So the ratio of y/x is consistent. Option B is correct.
C. The graph has a line that runs through the point of origin, so therefore, it represents a proportional relationship.
Option C is correct
D. If option C is correct, then option D is not correct.
E. If option C is correct, then option E is correct.
Answer:
x = 28
Step-by-step explanation:
angle 1 and angle 2 are complementary (their sum is 90°)
x + 5 + 2x + 1 = 90 add like terms
3x + 6 = 90 subtract 6 from both sides
3x = 84 divide both sides by 3
x = 28
=20/3
I hope I helped!
Happy new years,
Cheers,
Mabel L.
Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.