Step-by-step explanation:
3/4 of 12
3/4 × 12 = 9
6/7 of 49
6/7 × 49 = 42
2/3 × 27 = 18
3/8 x 16 = 6
(10(1-(1/2)^5)/1-(1/2) =
20(1-1/32)
=155/8
Answer:
C. and A.
Step-by-step explanation:
1/6 is a positive number so that is automatically greater than -0.33 and 0.3 is It's like, the bigger the number next to the negative sign, the MORE NEGATIVE it is, making it SMALLER.
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Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5
-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8
Therefore, the y-coordinate of point C is 8.
Answer:
x = -1 and y = 1
Step-by-step explanation:
5x + 2y = -3 . . . . . . . (i)
x + 5y = 4 . . . . . . . (ii)
- Finding x in terms of y from eq. (ii) :-
x + 5y = 4
x = 4 - 5y
- Placing this value of x in eq. (i) :-
5(4 - 5y) + 2y = -3
20 - 25y + 2y = -3
-23y = - 23
<u>y = 1</u>
- Placing the value of y in eq. (i)
5x + 2(1) = -3
5x + 2 = -3
5x = - 5
<u>x = -1</u>
