Required Equation is 
Given: A line passing through 
and 
Slope = 
= 
Equation of line is:
Where b is y intercept
for value of b
⇒ b = -1
and Equation of line is:
For another parallel line that passes through the point (-3,0)
c = 2
then the equation is:
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Answer: 57 pennies and 63 quarters
Step-by-step explanation:
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Answer:
EH = 120 degrees
Step-by-step explanation:
angles in a circle add up to 360 degrees
arc EF + arc FG + arc GH + arch EH = 360
95 + 90 + 55 + EH = 360
240 + EH = 360
subtract 240 from both sides to isolate EH
EH = 120 degrees
Answer: 83 cards
Step-by-step explanation:
38 x 2 + 7 = 83
