In this item, we are asked to determine or calculate for the distance between the points A (1,4) and B(-3,-2)
The distance between the two points can be computed through the equation below.
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)³)
We can choice whichever of the two points will have the first abscissa or the first ordinate. For the purpose of showing the solution here, it is assumed that A has the coordinates of (x₁,y₁) and B (x₂,y₂)
Substituting,
d = sqrt ((-3 - 1)² + (-2 -4)²)
d = 2√13
<em>ANSWER: 2√13 , ~7.21</em>
Answer:

Step-by-step explanation:
we want to figure out the ellipse equation which passes through <u>(</u><u>1</u><u>,</u><u>4</u><u>)</u><u> </u>and <u>(</u><u>-</u><u>3</u><u>,</u><u>2</u><u>)</u>
the standard form of ellipse equation is given by:

where:
- (h,k) is the centre
- a is the horizontal redius
- b is the vertical radius
since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

substituting the value of x and y from the point (1,4),we'd acquire:

similarly using the point (-3,2), we'd obtain:

let 1/a² and 1/b² be q and p respectively and transform the equation:

solving the system of linear equation will yield:

substitute back:

divide both equation by 1 which yields:

substitute the value of a² and b² in the ellipse equation , thus:

simplify complex fraction:

and we're done!
(refer the attachment as well)
Answer:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.
Answer:
m = 7 / 185 or 26.42857
Step-by-step explanation:
7m - 5 = 180 add 5
7m = 185 divide 7
m = 7 / 185 or 26.42857 (and so on; just estimate it)