Answer:
y = -3x - 1
Step-by-step explanation:
Look at your line. It's a downward trend which means your slope is negative
slope is the m in y = mx+b
Your b is your y intercept or where the graph touches the y = 0 vertical line.
It cross at -1 value
Your slope value is determined by rise/run so in the case it goes down 3 values and across 1 value so its 3/1 but its negative so its -3/1
Answer:
Step-by-step explanation:
the unit of length is meter,
so, 80cm=0.8cm, 10cm=0.1m
the length of the rail=
=
Answer:
C Vertex is (2, 27)
Step-by-step explanation:
C Vertex is (2, 27)
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
