Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin = 
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
now, the (x-3) is there 5 times, namely (x-3)(x-3)(x-3) and (x-3)(x-3), that simply means, the root of 3 has a multiplicity of 5, is all
to get the y-intercepts, simple, when the graph touches the y-axis, "x" is zero, thus
Answer:
g(x) = –5*(0.8)^x
Step-by-step explanation:
In order to get the reflection of a function across the x-axis, you have to multiply that function by (-1)
Given the function:
f(x) = 5*(0.8)^x
then, its reflection across the x-axis is -f(x) = g(x) = –5*(0.8)^x. This result can be checked replacing the known points into the equation, as follows:
x | g(x)
0 | –5*(0.8)^0 = -5
1 | –5*(0.8)^1 = -4
4 | –5*(0.8)^4 = -2
Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)
