Answer:

Step-by-step explanation:
The slope-intercept form of an eqaution of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation of a line:

Therefore

The angle between u = (-2,-5) and v = (5,2) is 134 degrees approximately.
<u>Solution:</u>
Given, two vectors are u = (-2, -5) and v = (5, 2)
We have to find the angle between two vectors.
We know that,

where
is angle between vectors a and b




Hence, the angle between given two vectors is 134 degrees approximately.
Answer:
<em>y = -3x+4</em>
<em />
Step-by-step explanation:
Slope intercept form of a line is given by y = mx + b
Where
m is the slope
b is the y intercept.
To find m, we need to take any arbitrary 2 points and see how many units up/down and how many units right/left we need to go from one to another. <em>Basically change in y by change in x.</em>
<em />
Let's take 2 arbitrary points: (0,4) & (2,-2)
So we need to go -6 units from y = 4 to y = -2. We need to go 2 units from x = 0 to x = 2.
Hence slope is change in y by change in x, which is -6/2 = -3
b is the y-interceept, the place where it cuts the y axis. Looking at the graph, it is at y = 4
<em>Now we can write the equation as :</em>
<em>y = -3x+4</em>
Answer:
t = 2
Step-by-step explanation:



Checking:


Answer:
x = y
Step-by-step explanation:
x/3 + x/6 = 7/2
2x + x = 21
3x = 21
(divide 3 on both sides)
x = 7