Answer:
Step-by-step explanation:
We have the system of equations:
Let's solve by substituting. We know that 
, so we can substitute 
in as 
in the equation 
.
Simplify this down so that we have 
on one side of the equation:
Now that we know the value of , we can substitute it in to the equation 
to find .
Hope this helped!
The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
Answer:
The number 32 is part of the solution set
The circle on the graph is closed
The arrow on the graph points to the left
Step-by-step explanation:
The number 32 is part of the solution because it said that water freezes at 32 degrees when it is at or below 32
The circle on the graph is closed because 32 is part of the answer , when the solution is showed then the circle is closed.
Last but not least the arrow on the graph points left because water freezes when it is at 32 or below 32 degrees, so when it points left the numbers become lower.
Hope this helped! :)
