The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of grap
2 answers:
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Answer:
a)The component form is
b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:
We substitute the position vectors to get:
We subtract the corresponding components to obtain:
This gives:
This simplifies to:
The magnitude of a vector in the component form:
is
This means:
This simplifies to:
c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer:
T = (3,16)
Step-by-step explanation:
The midpoint formula is just another version of the pythagorean theorem, and it states that the midpoint between (x1,y1) and (x2,y2) is
Substituting what we know:
endpoint S is (3,2) and endpoint T is (x2,y2)
Midpoint Z is (3,9). We will apply the formula -- backwards.
, solving with algebra we get x2 = 3
So the x-coordinate of endpoint T is 3.
, solving with algebra, we get y2 = 16.
So the y-coordinate of endpoint T is 16.
So the location of endpoint T is (3,16)