Abase of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0.
what is the y- coordinate of the fourth vertex?
h
j
k

The y-coordinate of the fourth vertex is j.

Step-by-step explanation:

Since, the diagonals of parallelogram bisect each othe,

That is, the midpoint of one diagonal = the midpoint of the other diagonal,

Here, the consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0,

Let (x,y) are the coordinates of fourth vertex,

⇒ Midpoint of coordinates (h, j) and (k, 0) = Midpoint of coordinate (0,0) and (x,y)

By comparing the y-coordinates,

Hence, the y-coordinate of the fourth vertex is j.

Second option is correct.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.