Answer:
(-3, -17)
Step-by-step explanation:
The best way to find the vertex is to rewrite the given quadratic in vertex form: y - k = a(x - h)^2.
The given quadratic is f(x) = 2x2 + 12x + 1. We will focus on the first two terms and "complete the square." f(x) = 2x2 + 12x + 1 can be rewritten as
f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is
f(x) = 2(x^2 + 6x + 9 - 9) + 1, or
f(x) = 2( (x + 3)^2 - 9 ) + 1, or
f(x) = 2(x + 3)^2 - 17
Comparing this to
f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k): (-3, -17)
Answer:
Common difference is 55
Step-by-step explanation:
C(m)=55m
Substitute m=1 to find the distance traveled by Mia in one hour
55m= 55(1)
= 55
Distance traveled in one hour is 55 miles. Substitute m=2 to find the distance traveled by Mia in 2 hours
55m=55(2)
= 110
Distance traveled in 2 hours is 110 miles. Substitute m=3 to find the distance traveled by Mia in 3 hours
55m=55(3)
= 165
Distance traveled in 3 hours is 165 miles. Substitute m=4 to find the distance traveled by Mia in 4 hours
55m=55(4)
= 220
Distance traveled in 4 hours is 220 miles. Then the common difference is
d=110-55=165-110=220-165=55
I believe it is x=6 because 13-7=6
Answer:
15
Step-by-step explanation:
Applying,
The angle bisector theorem of triangle
From the diagram,
Since ΔAMT is an issoceless triangle,
Then,
Line OA divides Line MT into two equal parts.
Therefore,
Line MO = Line OT.............. Equation 1
From the diagram,
Line MO = 4x-1, Line OT = 3x+3
Substitute into equation 1
4x-1 = 3x+3
Collect like terms
4x-3x = 3+1
x = 4.
Therefore,
OT = 3(4)+3
OT = 12+3
OT = 15
Answer:
60
Step-by-step explanation:
Let's name "a number" "q."
The expression we can set up is 6+9q
Plug 6 in for q.
6+9(6)
6+54
60
