The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( 
, 3) and (x₂, y₂ ) = (- 4, - 1 )
m = 
= (- 4)/- 
= 
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - 
+ c ⇒ c = 
y = x + ← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
Answer:
The correct answer is: " x > 2 " .
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Step-by-step explanation:
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Given the inequality:
" 6x > 12 " ;
Solve in terms of "x" :
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Divide each side of the inequality by "6" ;
to isolate "x" on one side of the inequation; & to solve in terms of "x" ;
→ " 6x / 6 > 12 / 6 " ;
to get:
→ " x > 2 " .
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Hope this is helpful to you.
Best wishes to you in your academic pursuits
— and within the "Brainly" community!
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When we choose to do cosine we do adjacent/hypotenuse so it would be...
Cos(32)= x/23
Than solve for x
X= 19.18 o 19.2
