Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 5 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (1, 2) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = 3x - 1 ← equation of parallel line
Step-by-step explanation:
the area of a trapezoid is
(b1 + b2)/2 × h = (10 + 5)/2 × 4 = 15 × 2 = 30 in²
Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: 
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:

Answer:
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Step-by-step explanation:
The answer is provided above.
Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
Hope this helps.
Answer:
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Step-by-step explanation: