Sorry but you need to add more detail to this question or else no one will be able to answer it. Sorry :/
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
The Area of a semicircle is half of the area of a circle.
In short, Your statement would be: "False"
Hope this helps!
Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
(-2,5) and (-4,8)
substitute the values in the formula
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
----> slope of the given line
therefore
---> slope of the perpendicular line to the given line
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
isolate the variable y
Answer:Holly drank 12 bottles in a week.
Step-by-step explanation:
First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.
So= 1 2/5
= 2 ÷5 = 0.4
= 1 + 0.4 = 1.4 liters
1.4 liters is the amount of water in a bottle.
Next, also change the fraction 2 2/5 litres into a decimal.
So=2 2/5
= 2÷5 = 0.4
= 2 + 0.4 = 2.4 liters
She drinks 2.4 liters a day.
To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.
So= 1 week= 7 days
= 1 day= 2.4 liters
So= 2.4 × 7 = 16.8
She drinks 16.8 in a week.
To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.
So= 16.8 ÷ 1.4= 12 bottles
Holly drinks 12 bottles in a week.
I hope this helps! I'm sorry if it's wrong and complicated.
