Answer:
b = -6
Step-by-step explanation:
We use the general equation a*x^2 + bx + c = 0, the Quadratic Equation.
Compare it to 2x^2 - 6x - 20 = 0
b = -6 here
The rule of reflection over x-axis ⇒⇒⇒ (x,y)→(x,-y)
The rule of reflection over y-axis ⇒⇒⇒ (x,y)→(-x,y)
The rule of reflection over y = x ⇒⇒⇒ (x,y)→(y,x)
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let the coordinate of any point of the <span>hexagon is (m,n)
</span>
<span>The correct sequence will make the same coordinates
</span>
<span>which mean start with (m,n) and the finish is also (m,n)
</span>
<span>=================================================
</span>
Check option a- x-axis, y=x, x-axis, y=x
(m,n) → (m,-n) → (-n,m) → (-n,-m) → (-m,-n)
Wrong set of reflections
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Check option b- y-axis, x-axis, y-axis
(m,n) → (-m,n) → (-m,-n) → (m,-n)
Wrong set of reflections
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Check option c- x-axis, y-axis, y-axis
(m,n) → (m,-n) → (-m,-n) → (m,-n)
Wrong set of reflections
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Check option d- y=x, x-axis, y=x, y-axis
(m,n) → (n,m) → (n,-m) → (-m,n) → (m,n)
The correct set of reflections
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So, the correct option is <span>⇒⇒ d- y=x, x-axis, y=x, y-axis
</span>
Answer:
The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Step-by-step explanation:
Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:
7 x 22 + 0 x 9 = 154
5 x 22 + 2 x 9 = 128
4 x 22 + 3 x 9 = 115
Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.
Hey there! :D
Plug it into slope form:
m= (y2-y1)/(x2-x1)
m= (0-(-9)/(-2-0)
m= (0+9)/(-2-0)
m=9/-2
m=-4.5 <== the slope
I hope this helps!
~kaikers
Answer:
<em>(n - 5)(n + 5) </em>
Step-by-step explanation:
a² - b² = (a - b)(a + b)
n² - 25 = n² - 5² = <em>(n - 5)(n + 5)</em>