The height of the ball when it is 5 meters away from Jake to the nearest whole number is 160 meters:
h=-.625*5(5-56)=159.375 meters exact.
Answer:
Student is incorrect
Step-by-step explanation:
x^2-7x+10=0
x^2+2x-5x+10=0
x(x-2)-5(x-2)=0
(x-5)(x-2)=0
x-5=0 , x-2=0
x=5 , x=2
So the correct solutions of given equation is 2 and 5
Answer:
Remainder
Step-by-step explanation:
When a number can't be divided equally, there's an amount leftover. The leftover number is called a <em><u>remainder</u></em>
I'm not really great at explaining stuff, but I hope this helps!
Answer:
the result is a positive number not a negative number
Step-by-step explanation:
a - ( -b)
We know that subtracting a negative is like adding
a+b
This would result in a positive number
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