Write an equation for the line with a y-intercept of 5 that is perpendicular to the line with equation
y=-3x+2.

y = -1/3 x + 5

Step-by-step explanation:

The general equation is y = mx + b

You are told that the y intercept is 5. The point is (0,5)

So far the general equation looks like y = mx + 5

Now we have to find m

The given slope of y = 3x + 2 is 3.

The slope is whatever number is in front of the x

Use this formula for the vertical slope

m * m1 = - 1

m1 = 3

3*m = - 1                                     Divide by 3

m = -1/3

So the answer you want is y = -1/3 x + 5

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

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.