Answer:
The answer is: y = 3x - 7
Step-by-step explanation:
Given point: (5, 8).
Slope m = 3
Use the point slope form and solve for y:
y - y1 = m(x - x1)
y - 8 = 3(x - 5)
y - 8 = 3x - 15
y = 3x - 15 + 8
y = 3x - 7
Proof:
f(x) = 3x - 7
f(5) = 3(5) - 7
= 15 - 7 = 8, giving (5, 8)
Answer:
triangle KLM
Step-by-step explanation:
Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at
(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).
So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.
Answer:46 feet
Step-by-step explanation:
15+15+8+8= 46
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
