Y - y1 = [-9-(-5)]/[(9-10] * (x - x1)
y - (-9) = [-9 + 5] / [-1] * (x - 9)
y + 9 = (-4) / (-1) * (x - 9)
y + 9 = 4(x - 9)
y + 9 = 4x - 36
y = 4x - 36 - 9
y = 4x - 45 This is the slope - intercept form.
y - 4x + 45 = 0 This is the standard form
Given,
hypotenuse = 23
adjacent = 4sqrt19
opposite = 15
then, using sohcahtoa,
sin m = 15/23 =0.652
cos m = 4sqrt19/23 = 0.758
tan m = 4sqrt19/15 = 1.162
Answer: (-4,-5)
Step-by-step explanation:
Here ABCD is a parallelogram,
Where A≡(-2,-1), B≡(2,1), C≡(0,-3) and D≡(x,y)
By the property of parallelogram,
AB║CD, AD║BC, AB = CD and AD=BC
If AB ║ CD
⇒ Slope of AB = Slope of CD
⇒ 
⇒ 
⇒ 
⇒
------ (1)
Now, AB = CD






From equation (1)




⇒ y = -1 or -5
Again by equation (1)
for y = -1, x = 4
For y = -5, x = -4
Thus the coordinate of D are (4,-1) or ( -4,-5)
But for D≡(4,-1), AD∦BC
While For D≡(-4,-5) AD ║ BC
Thus the coordinates of D are ( -4,-5)
Absolute value is never negative so the answer is 20