Answer:
(-5,-28)
Step-by-step explanation:
Given

Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is

By comparison;

To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;

Substitute 10 for b and 1 for a



Substitute
in the given function;




<em>Hence, the coordinates of the vertex is (-5,-28)</em>
25% because 21 is a quarter of 84. And 21 times 4= 84, so 21 is 25% of 84.
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals
. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that
and
, then the axial stress experimented by the titanium wire is:


Since stress is greater than ultimate strength, the wire will break.
Answer:
A 21 mm
Step-by-step explanation:
u have to divided and then subtract