Answer:
Triangle KLM
Step-by-step explanation:
Firstly, we need to write the coordinates of triangle NPQ
We have this as;
(-7,-6) for N
(-4,-3) for P
(-4,-6) for Q
Now, we are going to use the given translation formula;
(x + 8, y + 1)
N’ will be (-7+ 8, -6 + 1) = (1,-5)
P’ will be (-4+ 8, -3+1) = (4,-2)
Q’ will be (-4+ 8, -6+1) = (4,-5)
Now, we need to find the triangle with the exact given transformation coordinates calculated above;
We have the triangle as;
KLM
With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)
Passes through (1, 9) with a slope of 2.
Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)
To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.
y = mx + b
Plug everything in.
9 = 2(1) + b
Simplify.
9 = 2 + b
Subtract 2 from both sides.
9 - 2 = b
b = 7
Therefore, our y-intercept is 7! :)
Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.
y = mx + b
y = 2x + 7
~Hope I helped!~
Answer: Choice D
This basically says "the nth term is found by computing math, aka evaluating some function, based on the (n-1)th term".
As an example, we could have a function that simply squares the input
Let's say we started at 5. It squares to 25 which in turns squares to 625, and so on. Each new term is based on the old term. Namely, we squared the old n-1 term to get the new nth term.
Answer: 30 deg
Step-by-step explanation:
This is an example of a 30-60-90 triangle because the proportions of the sides are 1-2-sqrt(3). Therefore m<X = 30 degrees.
The correct answer for this would be B
