Answer:
Step-by-step explanation
We have given that equation of line a+4b=0
⇒4b= -a
⇒
slope of line = 
⇒ 
is negative therefore it lies into 4th quadrant
By, Pythagoras theorem 
by putting value of P= -1 & B=4
the value of 
with the given condition 
i.e. 
∈ (3π/2, 2π)
now, 
Answer:
Yes, you can use this inequality to find the numbers of cars required.
Step-by-step explanation:
12 + 3n > 28 where n = the number of cars required
3n > 28 -12
3n > 16
n > 5 1/3
Greater than 5 1/3 gives 6 cars.
The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
A/4=11/2 if you take 4/2 it equals 2 so you times the numerator and the denomerator by 2 and 11*2 equals 22 so the answer is a=22
Let, snake catches the mouse in t hours. Till then mouse is travelling from
( t + 1.5 ) hours.
Distance, travelled by mouse in t hours is, 
.
To catch the mouse snake had to travel the same distance d in t hours.
So,
Therefore, snake will catch mouse in 1.5 hours.
