We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is
Also, if James can do it in 5 hours, then his working rate is
Let
be the hours that both will use to complete the sales route,
Then rate at which both completes this task is
Meaning if we add their individual rates we should get
That is;
The LCM is
So let us multiply through with the LCM.
We simplify to get,
Dividing through by 9 gives;
Therefore the two will complete sales route in
hours.
Answer:
See below.
Step-by-step explanation:
x^2 + 2 = 3^2/3 + 3^-2/3
x^2 = 3^2/3 + 3^-2/3 - 2
x = √(3^2/3 + 3^-2/3 - 2)
x = 0.748888296
Substitute for x in 3x^3 + 9x - 8:
3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.
So it is proved.
The greatest common factor of 24 and 30 is 6.
<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular.
For two parallel sides, the slope of the two sides is equal.
Thus, for the parallelogram to be a rectangle, AB is parallel to CD.
The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3)
Also, BC is perpedicular to CD.
For two perpendicular sides, the product of the slopes is -1.
The slope of BC is given by (y3 - y2)/(x3 - x2).
Therefore, for the parallelogram to be a rectangle.
(y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1.
The third option is the correct answer.</span>
Answer:
The correct option (c) "is held together by ionic bonds".
Step-by-step explanation:
Table salt is NaCl. It is a combination of Sodium and Chlorine.
There is 1 valance electron in sodium. Its electronic configuration is 2,8,1
The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.
Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.
As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.