Answer:
20
Step-by-step explanation:
12 + 3 = 15
15+5=20
Answer:
the magnitude is 7
Step-by-step explanation:
as i means unit vector along x-axis so the magnitude of i is 1 and now,
= 12 - 5×1
= 12- 5
= 7
Answer:
Step-by-step explanation:
The perimeter is obtained by taking the sun of the fence :
Outer fencing :
Let's obtain b :
From Pythagoras :
b² = 15² - 12²
b = sqrt(225 - 144)
b = 9
Outer fencing = 2(12+6) + 2(8+9)
= 2(18) + 2(17)
= 36 + 34
= 70
Inner fencing :
(8 + 9 + 12 + 6 + 15 + 10) = 60
(70 + 60) = 130 yards
Answer:
y = -1/2x +1/2
Step-by-step explanation:
Point B is 4 up and 2 over from point A. So, the midpoint will be 4/2 = 2 up and 2/2 = 1 over, at (1, 0).
The ratio of rise to run between A and B is ...
m = rise/run = 4/2 = 2
The perpendicular line will have a slope that is the opposite reciprocal of this, -1/2.
Then the point-slope equation for the perpendicular bisector is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = -1/2(x -1) . . . .line with slope -1/2 through point (1, 0)
y = -1/2x +1/2 . . . . simplified to slope-intercept form