Opening Exercise
Mrs. Stevens gave her students what she thought was a very simple task:
What is the next number in the sequence 2, 4, 6, 8,...?
Jaylo: I am thinking of a plus 2 pattern, so it continues 10, 12, 14, 16,
Yaseen; I am thinking of a repeating pattern, so it continues 2, 4, 6, 8, 2, 4, 6, 8, ...
Elijah: I am thinking of the units digits in the multiples of two, so it continues 2, 4, 6, 8, 0, 2, 4, 6, 8,
a. Are each of these valid responses?
Yes
b. What is the hundredth number in the sequence in Jayla's scenario? Yaseen's? Elijah's?

Jayla: 100th number is 200

Yaseen: 100th number is 8

Elijah: 100th number is 0

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

homozygous. one is homozygous, while two is heterozygous.