Answer:
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Step-by-step explanation:
Step one:
given data
total lunch items= 5
let hot dogs be h
and cookies be c
cost of hot dogs = $1.10
cost of cookies = $0.75
total cost = $4.55
Step two:
The linear model for the total cost is given as
4.55=1.1h+0.75c---------------1
and the model for the number of items is
h+c=5--------------2
The systems of the equation for the situation is
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Answer:
Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that
And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have
( ABCD is parallelogram so AD=BC)
( BC= BE+EC)
( subtracting 1 from both side )
taking reciprocal both side
Yes this answer is correct
Step-by-step explanation:
The value of f(2) is -5.
Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
