Answer:
The vertex is at (5,4).
Step-by-step explanation:
I graphed both of the functions on the graph below.
If this answer is correct, please make me Brainliest!
Solve for x. X/7 =-3
1 answer:
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Answer:
First one: 0.4
Second one: 4
Step-by-step explanation:
We find the cube root of 0.064 which is 0.4
In order to find the length of side s, we just cube root 64 because it is
Answer:
7) K'(1, 1), N'(4, 0), Q'(4, 4)
9) F'(4, 2), W'(4, 5), K'(3, 2)
Step-by-step explanation:
When you are not sure about reflections and rotations, it can be useful to actually draw a graph. The line of reflection is the perpendicular bisector of the segment connecting a point with its image. That is, the image is the same distance from the line on the other side. A point that is <em>on</em> the line of reflection is "invariant," it doesn't move.
__
7) Reflecting across the x-axis changes the sign of the y-coordinate. That is all. Any point on the x-axis (y=0) is unchanged. The transformation is ...
(x, y) ⇒ (x, -y)
__
9) Reflecting across a vertical line changes the x-coordinate. The new value of x will be ...
x' = 6 - x
The "6" is double the x-coordinate of the vertical line. The transformation is ...
(x, y) ⇒ (6-x, y)
_____
<em>Derivation of the formula for reflection on x=3</em>
In general if M is the midpoint of a point (A) and its reflection (A'), then we have ...
M = (A +A')/2
2M = A + A'
2M -A = A'
When a point is reflected across a vertical line, all of the y-coordinate values remain unchanged. So, for A=(x, y) and M=(3, y), we have ...
A' = 2(3, y) -(x, y) = (6-x, 2y-y)
A' = (6 -x, y)
So, the reflection transformation across the line x = 3 is ...
(x, y) ⇒ (6-x, y)
Answer:
<h2>GRAPH III</h2>Step-by-step explanation:
Look at the picture.
We have
y = x² - 4 → move the graph of x² 4 units down (the vertex is (0, -4))
x + y + 2 = 0 <em>subtracy x and 2 from both sides</em>
y = -x - 2 → move the graph of -x 2 units down (the y-intercept os -2)
Only graph III and IV meets these conditions.
The solution is the points of intersection of the graphs.
Therefore your answer is GRAPH III
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Answer:
0.278
Step-by-step explanation:
Given that Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can be used. B box has three keys but only one can be used. C box has two keys but none of them can be used.
Each box is equally likely to be selected.
In other words
If A is selected then probability of winning is using the correct key out of two keys i.e. 0.5
If B is selected then probability of winning is using the correct key out of three keys i.e. 0.333
If c is selected then probability of winning is using the correct key out of two keys i.e. 0.00
So the probability that Nuri can win the car
=