Answer:
y = 4 
Step-by-step explanation:
For an exponential function in standard form
y = a 
To find the values of a and b, use ordered pairs from the table
Using (0, 4 ), then
4 = a
( = 1 ), so
a = 4
y = 4
Using (1, 8 ), then
8 = 4
= 4b ( divide both sides by 4 )
2 = b
Thus
y = 4 ← exponential function
Answer: A
Step-by-step explanation:
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477
Answer: 6.5 in
Step-by-step explanation:
Given the information we have, we first need to turn this into a parallelogram. So, now that we have a parallelogram, we need to find the area of that and divide it by two. So 3 1/4 x 4 = 13
So now that we have the area of the square, we need to divide it by two. 
.
So our answer is <u>6.5 in</u>
