Without solving, match the system of linear equations on the left with the number of solutions on the right.

y=−x+4
y=2x+3

Step-by-step explanation:

you can do these by just looking at the equations and comparing the slopes and the y intercepts.

first, put ur equations in y = mx + b form where m is ur slope and b is ur y intercept. Thankfully, these are already in that form.

second, find ur slopesthey will be in the m position

                           y = mx + b

y = -x + 4                                   y = 2x + 3

slope = -1                                   slope = 2

third, find ur y interceptsthey will be in the b position

                          y = mx + b

y = -x + 4                                   y = 2x + 3

y int = 4                                     y int = 3

fourth, compare the slopes and y int's of equation 1 and equation 2

here are some rules...

if the slope and the y int are different in each equation, then there is only 1 solution

if the slope and y int are the EXACTLY the same in the simplest form of each equation, there is infinite solutions

if the slopes are the same, but the y int's different, there is no solution

so ur 2 equations have different slopes and different y int's

therefore, there is only 1 solution <

12cm

the answer is d

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.