Answer:
By definition of congruence
Step-by-step explanation:
Triangle ABC is congruent to triangle DBE
Answer:
Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as
8 x 40 x 4 = 1280 cubic feet
1.25 cubic feet = 1 bushel
1 cubic feet = 1/1.25 = 0.8
1280 cubic feet = 0.8 x 1280 = 1024 bushel
Answer:
Step-by-step explanation:
Given
Required
Find 
From the attachment:
The measure of is calculated using the following expression:
Where
-- right-angled.
The expression becomes
Answer:
Directrix equation: y = 11/2
y = k - c = 6 - 1/2 = 11/2
Step-by-step explanation:
y=(1/2) x^2+6x+24
factor this
y = (1/2)* [ x^2 + 12x ] + 24
y = (1/2)* [ x^2 + 12x + 36 - 36] + 24
y = (1/2)* [ (x + 6)^2 - 36] + 24
y = (1/2)* (x + 6)^2 - 18 + 24
y = (1/2)* (x + 6)^2 + 6
y - 6 = (1/2)* (x + 6)^2
2*(y - 6) = (x + 6)^2
4c = 2, (h, k) = (-6, 6)
c = 1/2
Directrix equation: y = k - c = 6 - 1/2 = 11/2
