7x+6=3x-6
+6 +6
7x+12=3x
-3x -3x
4x+12=0
-4x -4x
divide both sides by -4 but you have to flip the sign.
-3>x
or
{x | x < -3}
Answer:
0.495
Step-by-step explanation:
Answer:
-9 = 0.45m
Step-by-step explanation:
- ^ Subtract 0.45m from BOTH sides. so
... etc - Why? So that we can make the equation less complicated. Our goal is to isolate the variable m to be on one side of the "=" sign by itself
- That will equal to:
<-- ANSWER
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula, 
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
⇒ 
⇒ 
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
Answer:
The dimensions of the garden are 22.5ft by 27.5ft
Step-by-step explanation:
Here, we want to calculate the dimensions of the garden.
let the length be x ft
we are told that the he wants the length to be 5 feet more than the width;
That means the width will be (x-5) ft
Mathematically;
Since the shape is rectangular, the perimeter will be 2( l + w)
Thus; 2(x + x-5) = 100
2(2x-5) = 100
divide both sides by 2
2x-5 = 50
2x = 50 + 5
2x = 55
x = 55/2
x = 27.5 ft
The width is thus; 27.5ft - 5ft = 22.5ft
the dimensions of the garden are 27.5 ft by 22.5 ft
