Your answer is5x^4 * sqrt 3x
Speed = distance / time
<span>Speed = 400 / 253 </span>
<span>Speed = 1.58 m/s approx</span>
The solution to these equations is either x < 0 or x > 3.
In order to find them, we need to solve each equation separately. Let's start with the first one.
2x - 1 < -1 -----> Add 1 to both sides
2x < 0 -----> Now divide each side by 2.
x < 0
Now let's look at the second one.
-4x < -12 ----> Divide both sides by -4
x > 3 (Notice that the sign changes direction because we divided by a negative)
When you have an "or" statement, you'll wind up with two answers, so we use both of these.
Answer:
1779.33 mm³
Step-by-step explanation:
We are given a candle in a form of a cylinder and a cone
Dimensions;
Common radius is 5 mm
Height of the cylinder is 20 mm
Height of the cone is 8 mm
We are required to determine the amount that it can hold.
To answer the question we are going to determine its volume
Cylinder;
Volume of a cylinder is given by;
V = πr²H
Taking π to be 3.14
Then ;
Volume of cylinder = 3.14 × 5mm² × 20 mm
= 1570 mm³
Cone
Volume of a cone is given by;
V = 1/3πr²H
That is;
Volume =1/3 × 3.14 × 5mm² × 8 mm
= 209.33 mm³
Therefore;
Volume of the solid = 1570 mm³ + 209.33 mm³
= 1779.33 mm³
Thus, the volume of the solid is 1779.33 mm³
Answer:
(5,6) , (5,-2)
Step-by-step explanation:
Let the required point be P(5,y).
Its distance from (2,2) is 5 units.
So, 
+ 
= 25.
So, 
+ = 25.
9 + = 25.
= 16
Two cases are possible for now
case 1 : y-2 = 4 .
y = 6
required point will be (5,6)
case 2 : y - 2 = -4.
y = -2.
required point will be (5,-2).
Two points are possible : (5,6) , (5,-2).
