Because a rectangular pyramid's base is square, the cross section would be as well
Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79
Answer:
It's 40
Step-by-step explanation:
Arithmetic Sequence.
Common Difference:
160−163=−3
157−160=−3
d=−3
Explicit Formula:
an=a1+(n−1)d
a42=163+(41)(−3)
a42 = 40
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The derived
Step-by-step explanation:
Step One : Consider the ellipse in equilibrium.
Looking at the ellipse in equilibrium i.e when the ellipse has settled down on the concave support (represented by a parabola ) as shown on the third uploaded image.
Step Two : Consider the ellipse equation.
Generally the equation of the ellipse is given as
Also the base on which it rest at equilibrium i.e the parabola is represented by
Substituting the value of y in the ellipse equation we have
Let
So the equation becomes
Rearranging, we get :
This equation above is a quadratic equation or a bi-quadratic equation in x as t =
Step Three : Relate the equation an the graph on the third uploaded image
We can see that from the graph , if A and B are the two values of x for which the points is made , then A + B = 0 (because they are symmetric in nature)
From Vieta's Roots(Vieta's formula is a formula that shows the relationship between the coefficients of a polynomial and the sum of its roots )
with A and B as roots
A+B =
But A + B = 0
So = 0
or we can say that
Rearranging we get