Step-by-step explanation:
t^2-4xt-12/t-8
= -(t^2-4-6)/4
= -t^2+4+6/4
=<u> -t^2+6</u>
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : 
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation

⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation

⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation

⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
Answer:
Step-by-step explanation:
<u>We know that:</u>
- sin 30° = 1/2, therefore arcsin (1/2) = 30°
- tan 45° = 1, therefore arctan (1) = 45°
<u>So the value of the expression is:</u>
- arcsin (1/2) + arctan (1) = 30° + 45° = 75°