Sub j(x)=-5 into the first eq.
-5=(4/5x)+7
Add 7 to both sides
2=4/5x
Muliply both sides times 5x
10x=4
Divide both sides by 10
X=4/10
Simplify
X=2/5
Answer:
Corresponding angles are
1 and 3
or 5 and 7
or 2 and 4
or 6 and 8
Step-by-step explanation:
Answer:
y = x-3 is the equation
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
The general equation form of a straight line is;
y = mx + b
Fro the equation;
y = -1x + 2
The slope is -1
So the equation of the perpendicular line is as follows;
-1 * m = -1
m = 1
so we can use the point-slope equation form
That would be:
y-y1 = m(x-x1)
y-3 = 1(x-6)
y-3 = x-6
y = x-6+3
y = x-3
Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠
. We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have
![2x+146= \frac{1}{2}[(360-4x-238)-(4x+238)]](https://tex.z-dn.net/?f=2x%2B146%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%28360-4x-238%29-%284x%2B238%29%5D%20)
. Doing all the simplifying inside there we have
and
. Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.
Step-by-step explanation:
the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.
it is really that easy.
the equations just put this into mathematical form :
A
y = 0.02×x + 800
B
y = 0.06×x + 600
please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).
and then the total cost goes up with every copy we make.
I cannot draw here.
so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :
0.02×x + 800 = 0.06×x + 600
200 = 0.04×x
x = 200 / 0.04 = 5000
when making 5000 copies both costs are the same.
