So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
Answer: The rod through induction electroscope through friction
Step-by-step explanation:
Answer: 30
Step-by-step explanation:
10 x 3 = 30
It might be wrong but I wanted to try it so don’t you my answer.
Answer:
A. 1:8
Step-by-step explanation:
We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.
Dogs: 8
Cat: 2
Fish: 4
Lizard: 2
We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.
Let us find total number of animal by adding each type of animals as:


We can see that the students saw 2 cats, so ratio of cats to total animals would be
.
Dividing 2 and 16 by 2, we will get:

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.