Indicate in standard form the equation of the line passing through the given point and having the given slope. r(4, 0), m = 5

Step-by-step explanation:  

We are asked to find the standard form of the equation of line, which passes through point R(4,0) and having a slope of 5.

First of all, we will write equation of line in point-slope form:

, where,

m=slope of line,

= Coordinates of point that lies on the line.

Upon substituting our given values in point-slope form of equation we will get,

Now, we will convert our equation into standard form of equation:

Upon using distributive property we will get,

Now we will subtract 5x from both sides of our equation as:

Upon multiplying our equation by -1, we will get,

Therefore, our required equation would be .

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.