Answer:
y = (x-7)/9
Step-by-step explanation:
y = 9x + 7
x = 9y + 7
x - 7 = 9y
y = (x-7)/9
Answer:
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
In this case:
Open Bracket
Collect Like Terms
Solving using quadratic formula:
So:
or 
Since, x can't be negative, then:
One of the leg is:
Answer:
The slope is -3
Step-by-step explanation:
We have two points
( -1,2) and (1,-4)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -2)/ ( 1 - -1)
= ( -4-2)/ (1+1)
= -6/2
= -3
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.
Answer:
11 1/2
Step-by-step explanation:
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