Solve the system of equations. 10x+y=−20 y=2x2−4x−16 ( , ) and ( , )

and .

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system of equations.

We will use substitution method to solve our given system. From equation (1) we will get,

Substituting this value in equation (1) we will get,

Now we will use quadratic formula to solve for x.

Now to find y values we will substitute in equation (1) as.

Now, we will substitute in equation (1) as.

Therefore, there are two solutions for our given system that are and .

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)