Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-

, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
Answer:
The answer to your question is: Yes a parabola can be drawn if we know the focus and the directrix.
Step-by-step explanation:
We can say that it is a vertical parabola that opens downwards.
We conclude that if we graph both the focus and the directrix. Also if we continue the process we can find the vertex (-4, -7) and p = 3.
Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd
← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 ×
= k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d
← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 ×
= 0.025 × 1000 × 8 = 200
Answer:
Base = 353.55 sq cm
Step-by-step explanation:
10 by 10 triangle = 45 45 90 traingle
hypotenuse = 10√2
A = 10√2 by 25
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