1
Simplify \frac{1}{2}\imath n(x+3)21ın(x+3) to \frac{\imath n(x+3)}{2}2ın(x+3)
\frac{\imath n(x+3)}{2}-\imath nx=02ın(x+3)−ınx=0
2
Add \imath nxınx to both sides
\frac{\imath n(x+3)}{2}=\imath nx2ın(x+3)=ınx
3
Multiply both sides by 22
\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2
4
Regroup terms
\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı
5
Cancel \imathı on both sides
n(x+3)=nx\times 2n(x+3)=nx×2
6
Divide both sides by nn
x+3=\frac{nx\times 2}{n}x+3=nnx×2
7
Subtract 33 from both sides
x=\frac{nx\times 2}{n}-3x=nnx×2−3
Answer:
-2
Step-by-step explanation:
In a linear regression model we have the equation
that relates
and
, where
is the estimator of the slope and
is the estimator of the Y-intercept. The coefficients
and
can be estimated with the equations:

. Thus,

The question is asking the lateral surface area of a cylinder with radius 3 in and length 12 in.
A = 2πr*l
.. = 2π*(3 in)*(12 in)
.. = 72π in^2
.. ≈ 226 in^2 . . . . . . . . . . matches selection a)
They are all (SAS)side angle side except for the bottom right one. This is because the question does not give the little ticks to show that one side is the same as the other. It is not good enough to assume they are congruent without proof.
Triangle A: Right
Triangle B: I think it’s Obtuse
Sorry if it’s wrong