for f(x) = -2(x-4)2+2 - set equation to y = -2(x-4)2+2, solve x-4=0, x = 4
axis of symmetry is x = 4
for g(x) = 5x2-10x+7, set equation to y = 5x2-10x+7, solve the square: 5x2 becomes 5(x-1)2 solve x-1 = 0, x = 1
axis of symmetry is x=1
for H(x) what x value would be the centerline so that the graph symmetry is the same on both sides? looking at the graph the top of the arc is on -2
so axis of symmetry is x = -2
Answer:
1. Reduce 3x2-6x-240 to x^2 - 2x - 80
2. Use " ^ " to indicate exponentiation
3. Factor x^2 - 2x - 80 using completing the
x^2 - 2x + 1^2 - 1^2 - 80
(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)
Final answer, with all factors shown: 3(x-8)(x+10)
Step-by-step explanation:
Answer:
(-5,2)
Step-by-step explanation:
It alogns with negative 5 on the X axis, and positive 2 on the Y axis, meaning its written as (-5,2)
Pi = 3. Area of a circle = pi×r squared.
R is radius, and the radius of that circle is 11 m. therefore, 3.14×11 squared will give you your answer. Don't forget, exponent before multiplication
11^2 = 121
121×3 = 363 That's the area of the big circle.
Now, 11÷2 gives you the radius of the small circles. you get 4.5
4.5^2 = 20.25
20.25*3 = 60.75
That's the area of ONE small circle. double it and you have the area of 2.
60.75×2= 121.5
Now just subtract the area of the small ones from the area of the big one to find the area of the shaded region.
363-121.5= 241.5
Now, you're done!
In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. This operation is also known as the opposite (number), sign change, and negation. ... For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0 .
