Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= -
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
Alright! So, we know that in his drawing the living room is 2 millimeters long, and in reality it is 10 meters long. So, to find out how much 1 millimeter is we divide 10 by 2.
[10 ÷ 2] = 5.
One millimeter is 5 meters in reality.
The ratio is 1:5
Hi there! :)

Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.
Answer:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Step-by-step explanation:
We are given that,
ABC is transformed using glide reflection to map onto DEF.
Since, we know,
'Glide Reflection' is the transformation involving translation and reflection.
So, we can see that,
ABC can be mapped onto DEF by any of the following glide reflections:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Hence, any of the two glide reflection will map ABC onto DEF.