Answer:
radical 1/2
Step-by-step explanation:
45-45-90 triangle
hyp= radical 1/2 (radical 2)
therefore x (median side aka)= radical 1/2
First lets work out the length of the top side which joins the points (-1,7) and (-5,5):-
this = sqrt ( (7-5)^2 + (-1 - (-5)^2 )
= sqrt (4 + 16)
= sqrt 20
Now find length of the longer side which is distance between the points (-1,7) and (4, -3)
this is sqrt ( (-1 - 4)^2 + (7 - -3)^2)
= sqrt 125
Area of the rectangle = sqrt 20 * sqrt 125
= sqrt 2500
= 50 units^2 Answer
Answer:
A
Step-by-step explanation:
We are given:

To make it simpler and more clear, we can let u = sin(x). So:

Now, it becomes obvious that we can factor, which produces:

Cancel:

And substituting back:

Hence, our answer is A.
Answer:
7=x
Step-by-step explanation:
multiply 5 and 2x by 2, you'll then have (10+4x)=-4+6x. Then add 4 to both sides and you have (14+4x)=6x. Subtract 4x from both sides and that'll get you 14=2x and you divide 2 from each side to get x by itself so 7 is your answer.