The subtraction gives -7x^2( x + 1) - 3
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions are expressions that are made up of factors, terms, variables and constants.
They also consist of arithmetic operations.
We have to subtract (6x^3 − x^2 + 8x + 5) from (−x^3 − 9x^2 + 2)
It is written as;
(−x^3 − 9x^2 + 2) - (6x^3 − x^2 + 8x + 5)
−x^3 − 9x^2 + 2 - 6x^3 + x^2 - 8x - 5
collect like terms
-x^3 - 6x^3 - 9x^2 + x^2 + 2 - 5
Add like terms
-7x^3 - 7x^2 - 3
To simply further
-7x^2( x + 1) - 3
Thus, the subtraction gives -7x^2( x + 1) - 3
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Answer:
Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation.
x = -1 y = 2
Step-by-step explanation:
Since the first equation x is equal to 4y - 9, it is easier to substitute 4y - 9 in for x in the second equation. That would give you
4y - 9 + 4y = 7
8y - 9 = 7
8y = 16
y = 2
x = 4y - 9 = 4(2) - 9 = 8 - 9 = -1
It is always a good idea to check and see if your results satisfy the two equations
The reference triangle is a right triangle and therefore, the properties of
the reference triangle are similar to right triangle properties.
The correct options are as follows;
- The reference triangle always have a leg perpendicular to the <u>x-axis</u>, the hypotenuse is positive, and θ is the angle adjacent to the <u>x-axis and hypotenuse</u>.
<h3>Reasons</h3>
The reference triangle is formed by the construction of a perpendicular
to the x-axis from the terminal side of an angle, oriented in the standard
position.
Therefore;
- The reference triangle is a right triangle that always has a leg perpendicular to the x-axis.
- The hypotenuse is taken as positive, given that the magnitude of the hypotenuse is the square root of the sum of the squares of the legs.
- In the first quadrant, the reference angle, θ, is the same as the standard position angle and it is given by the angle formed between the x-axis and the hypotenuse side.
The correct options are therefore;
In Trigonometry it is important that the right triangle (reference triangles)
have a consistent orientation. The reference triangles always have a leg
perpendicular to the <u>x-axis</u>, the hypotenuse <u>positive</u> and the θ is
adjacent to the <u>x-axis and hypotenuse</u>.
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Answer:
See below.
Step-by-step explanation:
A difference of squares is a quadratic written in the form 
. This form occurs naturally when distributing binomials.
The difference of squares formula is
Example:
