Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
( 
, 
)
( 
, 
)
is m = 
Slopes of perpendicular lines are opposite reciprocal: 
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
= 
= 
Slope of perpendicular line through points (3, 5) and (k, 12) is = 
or = 
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
This is a typical algebra problem pretending to be geometry. The two indicated angles are supplementary, adding to 180 degrees, precisely when the lines are parallel.
It's not really indicated, but the 8 and the 2 are in units of degrees.
6x + 8 + 4x + 2 = 180
10x = 170
x = 17 degrees
The value of dividing x^2-3x+9 by x-2 is x + 3
<h3>Ways of dividing polynomials</h3>
There are several ways to divide polynomial functions; some of these ways include
- By factorization
- By long division
- By synthetic division
- By using technology such as graph
<h3>How to divide the polynomials?</h3>
The expression for the polynomial division is given as:
x^2-3x+9/x-2
To divide polynomial functions, we make use of the division by factorization method
Start by expanding the numerator of the polynomial division
x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2
Factorize the equation
x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2
Factor out x + 3 from the numerator
x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2
Cancel out the common factors
x^2-3x+9/x-2 = x + 3
Hence, the value of dividing x^2-3x+9 by x-2 is x + 3
Read more about polynomial division at:
brainly.com/question/25289437
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Answer: y = 4x + 43
Step-by-step explanation: In the photo
Answer:
The answer is
8 x 24 x 4 x 56 x 37 x 85 = 135260160
