ANSWER

EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:

The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

The equation of the line can be found using:

We substitute the slope and point to obtain:

We simplify to get:


The required equation is
Since you want to cancel something out, the book makes the 24 3 times eight so that both of the threes can be canceled out
Answer:
8/5
Step-by-step explanation:
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
