<u>Answer-</u>
Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)
<u>Solution-</u>
The co-ordinates of the vertices are,
L = (-3, 1)
M = (-1, 1)
N = (-1, -1)
P = (-3, -1)
A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.
After the transformation the new co-ordinates will be,
L = (-3+5, 1-3) = (2, -2)
M = (-1+5, 1-3) = (4, -2)
N = (-1+5, -1-3) = (4, -4)
P = (-3+5, -1-3) = (2, -4)
These are the co-ordinates of the figure no. 4
Answer:
-5
Step-by-step explanation:
(-44) + (-10) + 49
=> 49 - 44 - 10
=> 49 - 54
=> -5
Answer:
2) Add 21 to both sides
Step-by-step explanation:
When solving 
for 
, our goal to isolate such that we have set equal to something.
Therefore, we want to start by adding 21 to both sides. This leaves us with 
and we are one step closer to isolating .
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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300 = 2(x + x + 10)
300 = 2(2x +10)
300 = 4x + 20
4x = 280
x = 70
x + 10 = 80
width = 80ft
answer <span>D) 80 feet</span>
