Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
<span>A. When adding two rational numbers a/b and c/d, the numerators a and c do not have to be integers. Therefore, the sum does not have to be a rational number. I think this is right might nor be :/
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Given that the tornado traveled 260 miles in 4 hours, its initial speed is 65 mi/h. Then, slowing by 20% every hour, the speed after 2 hours can be calculated through the equation,
speed = (65 mi/h) x (1-0.2)^2
speed = 41.6 mi/h
Thus, the speed of the tornado after 2 hours is approximately 41.6 mi/h.
You are NOT using scientific notation correctly. When you say 22^4 you are saying 22*22*22*22 which equals 234,256. What you should say is Earth to Moon distance = 22 * 10^4 miles. (To be really precise, it should be expressed as 2.2 * 10^5 miles).
Earth to Neptune distance = 2.2 * 10^8 miles.
2.2 * 10^8 / 2.2 * 10^5 = 1,000. So the Earth to Neptune distance is 1,000 times greater than the Earth to Moon distance.
Answer:
x=53
Step-by-step explanation:
all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is
180-74=106
106/2= 53
