(6,1)&(5,4)
(7,-3)&(4,-8)
(-8,0)&(1,5)
Basically, you are to find the line that passes through 2 points.
Equation: y2-y1=m(x2-x1)
• x1: 6, x2: 5, y1: 1, y2: 4
(4-1)/(5-6)=m
m=3/-1
m=-3
Hence, m= -3x10^0
• x1: 7, x2: 4, y1: -3, y2: -8
(-8--3)/(4-7)=m
m=(-8+3)/-3
m=-5/-3
m=5/3
m=1.66666667
Hence, m=1.6667x10^0
• x1: -8, x2: 1, y1: 0, y2: 5
(5-0)/(1--8)=m
m=5/(1+8)
m=5/9
m=0.55555556
Hence, m=5.56x10^-1
Hope this helps!
Answer:



Step-by-step explanation:
<h3>QUESTION-2:</h3>
we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is

divide both sides by 2


<h3>Question-1:</h3>
in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,

let our opp, hypo and
be GH, 4√10 and 60° respectively
thus substitute:

recall unit circle:

cross multiplication:

simplify multiplication:

divide both sides by 2:

<h3>QUESTION-3:</h3>
Recall that, the sum of the interior angles of a triangle is 180°
therefore,

simplify addition:

cancel 150° from both sides

1 foot = 12 inches
56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches
Answer:
Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1
Step-by-step explanation: