Answer:
An equation in standard form for the line is:
Step-by-step explanation:
Given the points
The slope between two points
Writing the equation in point-slope form
As the point-slope form of the line equation is defined by
Putting the point (-2, -1) and the slope m=1 in the line equation
Writing the equation in the standard form form
As we know that the equation in the standard form is
where x and y are variables and A, B and C are constants
so
Therefore, an equation in standard form for the line is:
Answer:
21.25
Step-by-step explanation:
use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem
the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle
17^2+12.75^2=x^2
x^2=7225/16
now take the square root of both sides and you get -21.25 and 21.25
distance CAN NOT be negative so -21.25 isn't an option
Answer:
-4/5
Step-by-step explanation:
To find the slope of the tangent to the equation at any point we must differentiate the equation.
x^3y+y^2-x^2=5
3x^2y+x^3y'+2yy'-2x=0
Gather terms with y' on one side and terms without on opposing side.
x^3y'+2yy'=2x-3x^2y
Factor left side
y'(x^3+2y)=2x-3x^2y
Divide both sides by (x^3+2y)
y'=(2x-3x^2y)/(x^3+2y)
y' is the slope any tangent to the given equation at point (x,y).
Plug in (2,1):
y'=(2(2)-3(2)^2(1))/((2)^3+2(1))
Simplify:
y'=(4-12)/(8+2)
y'=-8/10
y'=-4/5
Answer:
60
Step-by-step explanation:
First we divide 5 from 20 then we get 4 so 4 x 15 would be 60.
I think it might be false, I could be wrong though.
Hopefully that helped! :)
