Answer:
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do
.
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' =
.
the
ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
Answer:
x = 2
Step-by-step explanation:
8x + 5 = 3x + 15
8x - 3x + 5 = 3x - 3x + 15
5x + 5 = 15
5x + 5 - 5 = 15 - 5
5x = 10
5x / 5 = 10 / 5
x = 2
Answer:
B) B(2,-3) and C(-2,3)
Step-by-step explanation:
The given point A, has coordinates (-2,-3).
When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.
Therefore B will have coordinates (2,-3).
When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.
Hence the coordinates of C are (-2,3)
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Apply the Distributive property.
- Remember that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.
- Add the like terms.
Therefore, you obtain that the product is the following:

The scale factor would be -8 because...
126 inches / 7 inches = 8 inches.
Because the car is bigger than the scale, it would be a negative scale factor.