Given that <span>|x| + y ≥ 0, this means that y ≥ -|x|
Because |x| is always positive, then -|x| will always be negative.
The correct graph is the second graph.
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Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Answer:
a) ΔL = 80mm
b) h = 600 - 10w mm
Step-by-step explanation:
a. From the time when 7 L have been removed to the time when 15 L have been removed, the change in the volume has been 8L and how the height of the water decreases 10mm per liter removed, then the acumulate change in the height of water has been (8lt)(10mm/lt) = 80 mm
b) If w liters have been removed, then the change in the height of water is (10mm/lt)(wlt) = 10w mm and thus the water's height at this precise point in time is 600 - 10w mm
Answer:
H = (20 + 9h) in
Step-by-step explanation:
Let
H = height of the plant after 6 weeks
h0 = initial height
x = increment after 6 weeks
H = h0 + x
The plant grows 2h inches each week for 4 weeks
2h * 4 = 8h
h inches for each 2 weeks after that,
This means,
x = 8h + h = 9h
Then,
H = (20 + 9h) in
Answer:
$ 40,000
Step-by-step explanation:
they spend 5% of their budget on entertainment.
this year they plan to spend 2150.
5% of their total budget = 2150
let x represent their total budget
0.05x = 2150
x = 2150 / 0.05
x = 43,000 .....so this is the budget for this year
the total budget this year is 3000 more then last year..
so their total budget last year was : 43,000 - 3000 = 40,000 <==
