Step-by-step explanation:
b=a-80
c=b-61
c=a-141
a+b+c=3a-221=430
3a=651
a=217 & b =137 & c=76
Plug in the given values and you'll see its option 2.
x=0 , f(x) = 0^2 + 1 = 1
x = 1 , f(x) = 1^2 + 1 = 2
x = 2, f(x) = 2^2 + 1 = 5
<span>Given that Kate
is constructing an equilateral triangle and she has already used her
straightedge to construct a line segment AB.
What Kate should do for her next step is "</span><span>Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass".</span>
Answer:
The radius of each circle is 2.5 units
Step-by-step explanation:
Answer:
Part A) The graph in the attached figure
Part B) 
Step-by-step explanation:
Let
y------> the price of gas
x-----> the volume of gas purchase
we know that
The relationship between the cost of gas and the volume purchase represent a direct variation and remember that a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is equal to

and the y-intercept b is equal to zero because the line passes through the origin

therefore
the linear equation is


using a graphing tool
see the attached figure