I need help on that to. We have a test tomorrow and I can't figure it out and I need help:(
Yo sup??
y=(x+4)(x-2)
to find the x intercept put y=0
0=(x+4)(x-2)
so either x=-4 or x=2
Therefore the graph intersects the x axis at -4 and 2
Lenght of x intercept=|-4-2|=6 units
y=(x+4)(x-2)
=x^2+2x-8
This is an upward opening parabola
To find the coordinates of the vertex we can apply the formula
(-b/2a,-D/4a)
b=2
a=1
D=b^2-4ac
=4-4*1*(-8)
=4+32=36
Vertex=(-2/2*1,-36/4*1)
=(-1,-9)
Hope this helps.
Terrell ran 1,000 meters more than Victor. That's the answer because if you know 1 kilometer = 1,000 meters than do 3 kilometers times 1 kilometer = 3,000 meters. Than do 4,000 meters -3,000 meters to get 1,000 meters. so the answer is Terrell ran 1,000 meters more than Victor.
Answer:
The segment that is the diameter is EB
It is 8 cm long
Step-by-step explanation:
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
