<span>I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.
I'm pretty sure that by the time you see this problem, you've learned how to find
the
equation of a line that passes through two given points. You have two
points: (2, 100) and (5, 205). The equation of the line through them
is
[ y = 35x + 30 ]. (That's the answer to #8.)
6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)
7). The cost per month is $35. (The slope of the line.)
8). We already did that, up above. [ y = 35x + 30 ].
9). 'x' in the equation is the number of months.
There are 12 months in one year.
y = 35(12) + 30 = $450</span>
Answer:
5
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, 0)
d = 
= 
=
=
= 5
Answer:
Required rule for
is
.
Step-by-step explanation:
Given that,

From the question: we have to write the
term of Arithmetic sequence.
Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

where,
is the first term of A.P
is the common difference.
is the last term or general term.
The above sequence to be in A.P then their common difference should be equal.

Now, Formula of General Term is 
So, 
Substituting the value of
we get,

Then General term (
) of given data is

Therefore, Required rule for
is
.
Answer: 378
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Work Shown:
f(x) = x^2 - 3x
f(x) = ( x )^2 - 3*( x )
f(-18) = ( -18 )^2 - 3*( -18 ) ... replace every x with -18; now use PEMDAS
f(-18) = 324 - 3*( -18 )
f(-18) = 324 + 54
f(-18) = 378
Answer:
Step-by-step explanation:
One of the properties of a rhombus is that the opposite angles are equal. As a rhombus leans over more and more, two of the angles become more obtuse and the other two become more acute.. There are also 4 pairs of parallel lines in a rhombus.