Hello!
If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.
m = 3, y = 3x + b (substitute the ordered pair)
4 = 3(1) + b (simplify)
4 = 3 + b (subtract 3 from both sides)
b = 1
Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.
Answer: -2x + 5x^2
Step-by-step explanation:
3x + 6x^2 - 5x - x^2 = x(3-5) + x^2(6-1) = -2x + 5x^2
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:
The value of log 43is 1.633
Step-by-step explanation:
Explanation:
Suppose you know that:
Then note that:
So
We know that the error is approximately:
So we can confidently give the approximation:
