#1 first we need to solve for slope which is y2-y1/x2-x1
plug in the coordinates and get 1-6/5-(-2) which makes our slope -5/7
then use the equation for point slope form which is:
y-y1=m(x-x1)
then plug in one of the coordinates, I'll use (-2,6), now we have
y-6=-5/7(x+2)
now to make this slope intercept, we just have to solve
y-6=-5/7x-10/7
y=-5/7x+4 4/7
repeat all these steps for 2 and 3
#2: slope = -13/5
plug it in to point slope and get: y+8=-13/5(x-3)
slope intercept:
y+8= -13/5x + 39/5
y= -13/5x -1/5
#3: slope = 3/4
point slope form: y-2=3/4(x-3)
slope intercept: y-2=3/4x-9/4 --> y=3/4x-1/4
The length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
<h3>How to determine the parameters</h3>
To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
- a = 2. 5cm
- c = 3. 6cm
- ∠A = 43°
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C =
C = 79. 11°
To find length of b
b =
substitute the values
b =
b =
b =
Take square root
b = 2. 59 cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7066
B =
B = 44. 9 °
Thus , the length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
Learn more about sine rule here:
brainly.com/question/12827625
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The gcf of 24 and 84 is 12
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Answer:
Step-by-step explanation:
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