Answer:
A
Step-by-step explanation:
73+107 = 180. When the smaller of the two angles is 73 all of the smaller angles are also going to be 73 and since the angles MTS and STN are bigger angles they both have to be 107
Answer:
22
Step-by-step explanation:
Range-find the largest number and subtract the smallest number from it
96-74
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:
no, you actually don't.
Step-by-step explanation:
remember: x is how many to the left, and y is how many to the top.
reposition the dots and I will see if it is right the 2nd time.
hope this helped!
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation: