Answer:
y = 1/3x + 6
Step-by-step explanation:
Rearrange equation to get y by itself.
3x + y = -1
y = -3x - 1
Perpendicular = opposite reciprocal. This means that the slope = 1/3
Convert to point-slope form: y - y1 = m (x - x1)
y - 5 = 1/3 (x - (-3))
y - 5 = 1/3 (x + 3)
y - 5 = 1/3x + 1
y = 1/3x + 6
Answer:

Step-by-step explanation:
step 1
Find the length of the base L
we know that
The surface area of a rectangular prism is equal to

where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
substitute

we have



substitute in the formula and solve for L




step 2
Find the volume of the rectangular prism
The volume is equal to

we have



substitute

Answer:
see explanation
Step-by-step explanation:
the ratio of the opposite interior angles = 8 : 9 = 8x : 9x
The exterior angle of a triangle = sum of the opposite interior angles, hence
8x + 9x = 119
17x = 119 ( divide both sides by 17 )
x = 7
8 parts = 8x = 8 × 7 = 56
9 parts = 9x = 9 × 7 = 63
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 angles from 180 for third angle in triangle
180° - (56 + 63)° = 180° - 119° = 61°
The 3 angles of the triangle are 56°, 61°, 63°
Answer:
35 dollars
Step-by-step explanation:
23 + 12 = 35
hopefully this helps you :)
pls give me brainlest ;)
They both are independent events.