Step-by-step explanation:
It is given that,
The height of the sail on a boat is 7 feet less than 3 times the length of its base.
Let the length of the base is x.
ATQ,
Height = (3x-7)
Area of the sail is 68 square feet.
Formula for area is given by :

x = 8 feet and x = -3.73 feet
So, length is 8 feet
Height is 3(8)-7 = 17 feet.
So, its height and the length of the base is 17 feet and 8 feet respectively.
Answer:
p² -16pq + 36q²
Step-by-step explanation:
Given
(-
p + 6q)²
= (-
p + 6q)(-
p + 6q)
Each term in the second factor is multiplied by each term in the first factor, that is
-
p(-
p + 6q) + 6q(-
p + 6q)
=
p² - 8pq - 8pq + 36q² ← collect like terms
=
p² - 16pq + 36q²
RS+ST= RT
(7Y+3)+(2Y+9)= 14Y-8
9Y+12=14Y-8
5Y=20
Y=4
Answer:
I think they are SAS but I'm not sure
Answer:
Step-by-step explanation:
Since there exists a scalar
λ
λ
(namely
λ=a⋅b
λ=a⋅b
) such that
b=λa
b=λa
, the directions of the two vertices are the same (they are collinear). This implies that
|a⋅b|=|a||b|
|a⋅b|=|a||b|
.
So,
|a|=|(a⋅b)b|=|a||b||b|
|a|=|(a⋅b)b|=|a||b||b|
which implies that
|b|=1
|b|=1