
- Simplify :- 1 + - w² + 9w.


Quadratic polynomial can be factored using the transformation
, where
are the solutions of the quadratic equation
.

All equations of the form
can be solved using the quadratic formula:
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

Square 9.

Multiply -4 times -1.

Add 81 to 4.

Multiply 2 times -1.

Now solve the equation
when ± is plus. Add -9 to
.

Divide -9+
by -2.

Now solve the equation
when ± is minus. Subtract
from -9.

Divide
by -2.

Factor the original expression using
. Substitute
for
and
for
.

<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)
Answer:
Thus, volume of pyramid =
cm³
Step-by-step explanation:
Given: A solid right pyramid has a square base with an edge length of x cm and a height of y cm.
We have to choose from the given options an expression for the volume of the pyramid.
Volume of pyramid = 
Since base is a square with edge length x cm.
Area of square = (side)² = x²
Thus, volume of pyramid =
cm³
Answer:
2/5
Step-by-step explanation:
40 students drive to school
40/100 drive to school
2/5
The focal length of the given ellipse is given as (±6, 0)
<h3>Equation of an ellipse</h3>
An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.
The standard equation of an ellipse is expressed as;
x^2/a^2 + y^2/b^2 = 1
The formula for calculating the focus of the ellipse is given as:
c^2 = b^2 - a^2
Given the equation of an ellipse
(x-7)^2/64 + (y-5)^2/100 = 1
This can also be expressed as:
(x-7)^2/8^2 + (y-5)^2/10^2 = 1
Comparing with the general equation
a = 8 and b = 10
Substitute
c^2 = 10^2 - 8^2
c^2 = 100 - 64
c^2 = 36
c = 6
Hence the focal length of the given ellipse is given as (±6, 0)
Learn more on focus of ellipse here; brainly.com/question/4429071
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