Answer:
x=5
Step-by-step explanation:
16x+5=85
16x=80
x=5
The roots routine will return a column vector containing the roots of a polynomial. The general syntax is
z = roots(p)
where p is a vector containing the coefficients of the polynomial ordered in descending powers.
Given a vector
which describes a polynomial
we construct the companion matrix (which has a characteristic polynomial matching the polynomial described by p), and then find the eigenvalues of it (which are the roots of its characteristic polynomial)
Example
Here is an example of finding the roots to the polynomial
--> roots([1 -6 -72 -27])
ans =
12.1229
-5.7345
-0.3884
Y = 3. 3 is the y coordinate for the point with an x coordinate of -1 that lies on the line with a negative reciprocal to line ST.
Hi there! For this question, you need to know the ratio of sine and cosine.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
Define A = angle
opposite and adjacent side changes only if we focus on another angle.
From the picture, if we focus on angle S, the opposite would be 36. But if we focus on angle R (flip to make RT as base), see that the opposite would be 14.
Answer
- sinS = 36/42 = 6/7
- sinR = 14/42 = 1/3
- cosS = 14/42 = 1/3
- cosR = 36/42 = 6/7
The bold one is simplest form while the non-bold is non-simplest.
Questions can be asked through comment.
Hope this helps, and Happy Learning ! :)
Answer:
Intermolecular forces in liquids are stronger than in gases but less that the forces in solids.
Step-by-step explanation:
The intermolecular forces in both liquids and solids have to be strong enough to hold the particles in the substances or objects together. Liquids and solids both have particles inside of them that barely have any room to move due to the strong hold that the intermolecular forces have between them. This is also with the help of the smaller amount of average kinetic energy between the molecules.
While liquids and solids both have greater intermolecular forces than the average amount of kinetic energy in the substances and objects, the particles in liquids have room to freely move around unlike solids which have particles compacted so tightly that they have no room to move at all. For example, if you compare a cookie to the water inside of a glass of water, you can see that the water can move around and is flexible to any container that you pour it in but the cooking does not move from it's solid form. The reasoning for this is because the water is a liquid and the particles are more flexible while the cookie is a solid and the particles cannot be separated from each other. Therefore, the cookie isn't flexible.
The particles in gases are separated so far apart because the intermolecular forces in them are very weak compared to liquids and solids meaning they cannot hold the particles together.
Overall, intermolecular forces in liquids are stronger than in gases but weaker than the intermolecular forces in solids.
