9514 1404 393
Answer:
- A = 90°, C = 40°
- A = 40°, C = 90°
Step-by-step explanation:
In a right triangle one angle is 90° and the other angle is the complement of the acute angle given.
Angles A and C are not specified, but we know the other two angles are 40° and 90°. The values can be assigned two ways:
A = 90°, C = 40°
A = 40°, C = 90°
The answer is C. As X goes to negative infinity, the graph keeps on rising. As X goes to positive infinity, the graph goes down.
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Answer:
107/33
Step-by-step explanation:
107/33 is the rational number equivalent to 3 point 24 with a bar over 24.
