Answer: 9 tickets
Step-by-step explanation:
True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).
To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.
23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601
I hope this helps!
Remark
The line you want is parallel to y = - 2x + 3
That means it has the same slope as the given line. The given line has a slope of -2
y = -2x + b is what you have so far. Now you have to use the point to get b
y = - 100
x = - 100
Solve for b
-100 = -2(-100) + b
-100 = 200 + b Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.
- 100 - 200 = b
- 300 = b
Answer
y = - 2x - 100
2x+y=-4
5x+3y=-6
multiply first equaton by -5 and second by 2 then add them
-10x-5y=20
<u>10x+6y=-12 +</u>
0x+1y=8
y=8
the y value is 8
Remember that you can do anything ot an equaiton as long as you do it to both sides
-8+x=0
add 8 to both sides
8-8+x=0+8
0+x=8
x=8
answer is B. 8