line given slope = x coefficient = 1/3
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
line slope (m) = -3
line equation formula = y = mx + b
y = -3x + b
from the point given
x = 3
y= 3
3 = -9 + b
b = 12
y = -3x + 12
Answer:
1/2
Step-by-step explanation:
1/2 of an answer is zero answer
Answer:
3. 40 4. 132
Step-by-step explanation:
you multiply the length and the width
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
Let n = the hours elapsed when the two trains are 660 miles apart.
Let the first train travel east and the second train travel west.
The distance traveled by the first train is
x = (50 mi/h)*(n h) = 50n mi
The distance traveled by the second train is
y = (60 mi/h)*(n h) = 60n h
The distance between the two trains after n hours is
x + y = 50 n + 60n = 110n mi
Because this distance is 660 miles, therefore
110n = 660
n = 6 hours
Answer: 6 hours
I hope this helps. Sorry it took so long