Answer:
see below
Step-by-step explanation:
The parent function is x^2 which is a parabola at vertex (0,0)
g(x) = ( x+3) ^2
y = f(x + C) C > 0 moves it left
So the parabola is shifted to the left 3 units
h(x) = -( x+3) ^2
y = −f(x)
Reflects it about x-axis
Means flip it about the x axis
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Answer: No he is not correct the answer is 6 3/8
Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the
Prism volume = lbh
= 10*8*12
= 960cm^3
Note: I'm assuming the hole was cut right through it...
Hole volume = lbh
= 2*3*12
= 72cm^3
Final volume = 960 - 72 = 888cm^3
Answer:
Height of second tower = 17.32m
Step-by-step explanation:
I have attached a diagram depicting the question.
From the diagram, The first tower is depicted by side AEB and the second tower CD.
While d is the distance that separates the two towers and it's given as 15m.
Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.
Thus; using trigonometric ratios;
tan 60° = AB/AC.
This gives; AB = d*tan 60°
Similarly, for the triangle BED, BE = d*tan 30°
Since, AE = CD, thus ;
CD = AB − BE
CD = d (tan 60° − tan 30°)
CD = 15(1.7321 − 0.5774)
CD = 15 × 1.1547
CD ≈ 17.32 m.
So, height of second tower = 17.32 m