Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
===============
12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
So, 9 out of 10 students prefer class, so, obviously, it would not be 100. It would be 150. So in conclusion, 50 students prefer lunch over math class, whilst 150 other students prefer math class over lunch.
Answer:
18
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Answer:
a) 2.6 b) -20 c) -44 d) -1494
Step-by-step explanation:
Terms:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
a) 3+1.4+(-7)
3+1.4-7
Calculate.
-2.6
Terms: 3, 1.4, -7
b) 50+3(-10)+ 2(-20)
Multiply.
50-30-40
Calculate.
-20
Terms: 50, 3, -10, 2, -20
c) 4+(-50)+2
4-50+2
Calculate.
-44
Terms: 4, -50, 2
d) (4+(-170)) (5+4))
(4-170)+(5+4)
Add.
(4-170)x9
Calculate.
-166x9
Multiply.
-1494
Terms: 4, -170, 5, 4
Hope this helps :)
