Answer: (1,-1)
Step-by-step explanation:
Midpoint of BC=(6+4)/2, (3–1)/2. =(5,1)
Slope of BC is (3+1)/4–6)= 4/-2 = -2
Slope of perpendicular bisector of BC =+1/2
Eqn of perpendicular bisector is : Y-1 =1/2 (x-5)
Y=1/2 •(x-5) +1
Midpoint of AB. (6–2)/2, (3–1)/2 ={2,1)
Slope of AB is(3+1)/(-2–6) = 4/-8 =-1/2
Slope of perpendicular bisector = +2
Eqn of perpendicular bisector is Y-1. =2( X-2)
Y=2X-4+1 = 2X -3
Solving Y=(X-5)/2 +1
& Y=2X-3
2X-3 =(x-5/2)+1
2X-4 =(x-5/2)
4X-8 = x-5
3X =3
X=1
Y= 2×1–3= -1
Circumcentre is(1,-1)
Answer:
Scalene Acute
Step-by-step explanation:
All the sides have different lengths, and all the angles are less than 90˚ so I'm pretty sure it's a scalene acute triangle.
For this case we have the following data:
31, 32, 32, 33, 34, 35, 35, 35, 35
The median is given by the central datum:
Median = 34
Mode is given by the most repeated data:
Mode = 35
Answer:
Median = 34
Mode = 35
Answer:
3
Step-by-step explanation:
From the table, we know at least 2 ordered pairs. We can use the slope formula on any 2 ordered pairs on the table to get 3.
Answer:
So dimension of rectangle are :
Length = 32
Width = 40
Step-by-step explanation:
Let the length of rectangle be 4x and width of rectangle be 5x.
Remember ratio of length and width is 4 to 5.
Perimeter of rectangle is given as 144.
i.e 2 (length +width) = 144
or 2 ( 4x + 5x ) = 144
Solving this for x, we get :
or 9x = 144/2
or 9x = 72
or x = 72/9
or x = 8
So dimension of rectangle are :
Length = 4 x = 4*8 = 32
Width = 5x = 5*8 = 40
