Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is 
miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.
∴ 
=
Hence, average velocity is 32 miles/hr.
The scale factor is 0.5. This is an example of an reduction
Six
Answer:
never
Step-by-step explanation:
Intersecting planes are planes that intersect along a given line.
To explain this better, consider the following definitions:
i. A point: This is denoted by a dot and it is a location marked on a space or a plane.
ii. A line: This is the distance between two points. It is one-dimensional.
iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.
Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.
Answer:
Below in BOLD.
Step-by-step explanation:
5x^2 - 6x - 2 = 0
Quadratic formula for ax^2 + bx + c = 0 is
x = [-b ± √(b^2 - 4ac)]/ 2a
Here we have a = 5, b = -6 and c = -2
so x = [-(-6) ± √((-6)^2 - 4*5*-2)]/ 2*5
= [ 6 ± √(36 + 40)] / 10
= 0.6 ± √76 / 10
= 0.6 ± 0.8718
= 1.4718, -0.2718
= 1.5, -0.3 to one decimal place.
x^2 + 3x = 40
x^2 + 3x - 40 = 0
We can factor this one:
(x - 5)(x + 8) = 0
x - 5 = 0 giving x = 5 and
x + 8 = 0 giving x = -8.
Answer x = -8, 5.
The coefficient of the variable is 3/8.
Divide 3/8 to each term to find out what goes in the parenthesis:
So 'b' goes into the first spot in the parenthesis:
When dividing by fractions we flip(reciprocal) the one we're dividing by and multiply:
Multiply:
Divide:
This goes into the second spot in our parenthesis.
