t is of interest to find the equations of the tangent to x^2+y^2=10 at (a,b) where the point is on the curve.
Taking the derivative, 2+2′=0⇒′=− , and so the slope of the tangents are =− .
The equation of the tangent looks like
=−+⇒=−2+⇒=2+2=10
The equation becomes, +=10 .
Now use this formula.
More independent variables
Answer: y = x/2 + 3
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
Looking at the graph,
y2 = 6
y1 = 4
x2 = 6
x1 = 2
Slope,m = (6 - 4)/(6 - 2) = 2/4 = 1/2
To determine the intercept, we would substitute x = 2, y = 4 and m= 1/2 into y = mx + c. It becomes
4 = 1/2 × 2 + c
4 = 1 + c
c = 4 - 1
c = 3
The equation becomes
y = x/2 + 3
Answer: ∠E = 109°
Step-by-step explanation:
The interior angles of a pentagon add up to 540°:
540 - 121 - 108 - 102 - 100 = 109
∠E = 109°
Hope this helps!
If a function is undefined, this usually means that the
value is 1 / 0.
Since tan theta is the reciprocal of cot theta.
Therefore:
cot theta = 1 / 0 = 1 / tan theta
Taking the right side:
1 / 0 = 1 / tan theta
Rearranging so that tan theta is in the numerator:
tan theta = 0