<span>-0.00925 is the answer </span><span />
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer:
(–2, 11), (1, –4), (0, 1)
Answer:
The gradient of a line is given by 
.
Any 2 points of a vertical line would have the same x-coordinate. Thus when you simplify the denominator, you would end up with a zero. If you enter that into your calculator, no matter what you numerator is, you would get a Math error. This is because you cannot possibly divide a number by zero. Thus, the gradient is undefined.
F(x)=3x-1
y-intercept:
y=3(0)-1
y=-1
x-intercept:
0=3x-1
1=3x
1/3=x
g(x)=2f(x)-4
y-intercept:
y=2f(0)-4
y=2(-1)-4
y=-6
x-intercept:
0=2f(x)-4
0=2(3x-1)-4
0=6x-2-4
0=6x-6
0=x-1
1=x
Hope I helped :)
