2 Question 4 (4 points)
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side:
Glver: AABC
Prove: The midsegment between sides
AB
and
BC
Is parallel to side AC
Draw AABC on the coordinate plane with point A at the origin (0,0). Let point B have the ordered pair (X1, Yı) and locate point on the x-axis at
0+x 0+y
2
(X2, 0). Point D is the midpoint of AB with coordinates at
by the slope formula. Point E is the midpoint of BC with an ordered
x+x. 0+y
2
pair of
by the slope formula. The slope of DE is found to be through the application of the slope formula:
[oty ory
2 2
0
=0
X + x 0+
Y, -Y 0-0 0
2 2
When the slope formula is applied to AC *-, X-OX,
Its slope is also O. Since
the slope of DE and AC are identical, DE and AC are parallel by the definition of parallel lines.
Which statement corrects the flaw in Gina's proof? (4 points)
0
Оа
Ob
Ос
Od
The coordinates of D and E were found using the Midpoint Formula
Segments DE and AC are parallel by construction
The slope of segments DE and AC is not 0.
The coordinates of D and E were found using the Distance between Two Points Postulate

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

answer: it is 8

step-by-step explanation:

you know why its 8