Answer:
.
Step-by-step explanation:
It is given that,
If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.
So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.
We know that,
Therefore,
.
Answer: Choice A
Explanation:
= quotient of h and 6
= 7.8 more than the quotient of h and 6

The "is" often refers to "equals" in math translation problems like this.
Another example "h is 10" means "h = 10".
Answer:
See explanation
Step-by-step explanation:
A dog owner records the weight of her dog. She finds that from the age of 20 weeks to the age of 48 weeks, the dog’s weight can be modelled by the equation

where
w = weight
t = number of week from 20 weeks to 48 weeks
If we want to extend this model to the dog's weight at birth, then find the dog's weigth when it was born.
At t = 0,

We get the dog's weight -0.15 kilograms at the day the dog was born. But this is impossible, because the dog's weight cannot be negative.
Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)