Answer:
Step-by-step explanation:
AB = B - A = (-3,-6)-(-8,-6) = (5,0)
the length is 5
Answer:
The solution of the system of equation in coordinate form is (2, 0)
Step-by-step explanation:
The given equation are;
2·x - y = 4....................(1)
5·x + 2·y = 10..............(2)
Multiplying equation (1) by 2 and subtract it from equation (2) gives;
5·x + 2·y - 2 × (2·x - y) = 10 - 2×4
5·x - 4·x + 2·y - 2·y = 2
x = 2
From equation (1), we have 2·x - y = 4, when x = 2, we get;
2×2 - y = 4
y = 2×2 -4 = 0
y = 0
Therefore;
The solution of the system of equation in coordinate form is (2, 0).
We know that
the equation of a parabola is of the form
y=a*(x-h)²+k--------> is a vertical parabola
(h,k) is the vertex
y=−14x²<span>+4x−19
</span><span>Factor the
leading coefficient </span>
y=-14*(x²-4/14x)-19
y=-14*(x²-2/7x)-19
<span>Complete
the square Remember to balance the equation </span>
y=-14*(x²-2/7x+(1/49)-(1/49))-19
y=-14*(x²-2/7x+(1/49))-19+14/49
<span>Rewrite as perfect squares</span>
y=-14*(x-1/7)²-917/49
the vertex of the parabola is
h=(1/7)-----> 0.1429
k=(-917/49)----> -18.7143
the vertex of the parabola is(0.1429, -18.7143)
see the attached figure