Remember how the tangent function is defined as

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
Harrison is correct because the 305 in the actual problem is greater than the 300 in the estimate and 57872 is less than 60000. Harrison arrived at his prediction by rounding to the nearest ten thousand and nearest hundred.
Answer: (-1, 2)
Step-by-step explanation:
<u>It's a counter-clockwise rotation, that means (x, y) changes to (y, -x).</u>
(-2, -1) ⇒ (-1, -(-2)) ⇒ (-1, 2)
<u>If it's a clockwise rotation, then (x, y) will change to (-y, x)</u>
(-2, -1) ⇒ (-(-1), -2) ⇒ (1, -2)
Answer:
1). x = 10 m
2). x = 15 cm
3). x = 5 yd
4). AB = 10 units
Step-by-step explanation:
1). By Pythagoras theorem in the given triangle,
a² + b² = c²
Where 'c' = Hypotenuse
a and b = Legs of the right triangle
By substituting measures of the sides in the formula,
x² = 8² + 6²
x = 
x = 10 m
2). By using Pythagoras theorem in this triangle,
x² = 9² + (12)²
x² = 81 + 144
x = 
x = 15 cm
3). By Pythagoras theorem,
(13)² = x² + (12)²
169 = x² + 144
169 - 144 = x²
25 = x²
x = 5 yd
4). If BD is a perpendicular bisector of AC,
AD = CD = 6 cm
By Pythagoras theorem in ΔABD,
AB² = BD² + AD²
AB² = 8² + 6²
AB = 
AB = 10 units
Answer:
-13 ≤ x ≤ 11
Step-by-step explanation:
|x+1| ≤12
There are two solutions, one positive and one negative, remembering to flip the inequality for the negative
x+1 ≤12 x+1 ≥-12
Subtract 1 from each side
x+1-1 ≤12-1 and x+1-1 ≥-12-1
x ≤11 and x ≥-13
-13 ≤ x ≤ 11