First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
y-int. = 2 or (0,2)
Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
Slope = 2
Up 2 over 1 (to the right)
Then just connect the dots in a line!
You have to go through your x-axis and up or down you y-axis and then determine if the end point are on the right plot form
For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
U= -1
-9u+6u=-36+39
-3u=3
u=-1
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:

Substitute

Multiply both sides by 3.18



K = 34.8618741° ≈ 34.90°