Which of the following is an equation of the line that crosses through (-3,4) and (3,6) ?
A. X+ 3y = -15
B. x - 3y = -15
C. 1 / 3 x - y = 5
D. 3x + y = 5
E. -3x+y=5

Step-by-step explanation:

first. find the gradient

which is change in Y over Change in X

6 - 4 / 3--3 = 2/6 = 1/3

take any two point say for example (3,6) and equate it to the gradient

Y - 6/X- 3= 1/3 then cross multiply

3Y - 18 = X -3 then collect like term

3Y= X - 3 + 18

3y = X +15

3Y - X = 15 or X - 3Y= 15

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.