Help, homework is due tomorrow, it belongs to my nephew

#1:  3t + -6,     #2:  0.2y + 0.2(2) = 0.2y + 0.4

Might help to understand why expanding works.

Multiplication is just repeated addition. 4 x 3 is the same as saying 4 + 4 + 4. So when we say 3(t - 2), we're really saying

(t - 2) + (t - 2) + (t - 2).

And if you remove the parentheses and rearrange it, you get

t - 2 + t - 2 + t - 2

t + t + t - 2 - 2 - 2

(t + t + t) + (-2 + -2 + -2)

3t + 3(-2).

Does that make sense? Drawing a picture can help too:

Anyway so for #1 we have 3(t - 2), which equals 3(t) + 3(-2), which is 3t + -6.

For #2 we have 0.2(y + 2)  =  0.2y + 0.2(2)  =  0.2y + 0.4.

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.

the answer would be c:   ax + b = ax + c

step-by-step explanation: