Answer:
the vertex is ( 3 , 3)
Symetric axis‘s equation: x = 3
Step-by-step explanation:
Let‘s name the function ” f ”
f(x) = y = 2x² - 12x + 21
the vertex has coordinates of ( -b/2a , f(-b/2a) )
-b/2a = 12/2(2) = 12/4 = 3
f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3
then the vertex is ( 3 , 3)
the symetric axis has the equation :
x = -b/2a
then
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
Answer:
All 3 angles are the same, it is simply a dilation. the size is the only difference.
Step-by-step explanation:
Answer:
68.2 miles per hour
Step-by-step explanation:
Speed limit = 110 kilometers per hour
1 kilometer = 0.62 miles
110 kilometers = x miles
Cross product
1*x = 0.62*110
x = 68.2 miles
Cesar should drive at 68.2 miles per hour to avoid a speeding ticket
110 kilometers per hour = 68.2 miles per hour
Answer: 110°
<u>Step-by-step explanation:</u>
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°