Answer:
2x - y - 7 = 0
Step-by-step explanation:
Since the slope of parallel line are same.
So, we can easily use formula,
y - y₁ = m ( x ₋ x₁)
where, (x₁, y₁) = (8, 9)
and m is a slope of line passing through (x₁, y₁).
and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.
and, Slope = m = ![\dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}](https://tex.z-dn.net/?f=%5Cdfrac%7By_%7Bb%7D-y_%7Ba%7D%7D%7Bx_%7Bb%7D-x_%7Ba%7D%7D)
here, (xₐ, yₐ) = (2, 7)
and, ![(y_{a},y_{b}) = (1, 5 )](https://tex.z-dn.net/?f=%28y_%7Ba%7D%2Cy_%7Bb%7D%29%20%3D%20%281%2C%205%20%29)
⇒ m = ![\dfrac{5-7}{1-2}](https://tex.z-dn.net/?f=%5Cdfrac%7B5-7%7D%7B1-2%7D)
⇒ m = 2
Putting all values above formula. We get,
y - 9 = 2 ( x ₋ 8)
⇒ y - 9 = 2x - 16
⇒ 2x - y - 7 = 0
which is required equation.
Answer:
-2
Step-by-step explanation:
Substitute in the values
(2(3)-3(-2))/(-2)(3)
multiply
(6+6)/(-6)
(the second 6 became positive because it is a negative 3 times negative 2.)
add
12/-6
divide
-2
Answer:
37.9 cm
Step-by-step explanation:
Arc length is:
s = 2πr (θ/360°)
where r is the radius and θ is the arc angle.
40π cm = 2πr (190°/360°)
20 cm = r (190°/360°)
r = 37.9 cm
Answer:
diameter of #12 wire = (80.80
0.001) = 0.08080 inches
Step-by-step explanation:
i) #12 wire is 80.80 mils
ii) Therefore diameter of #12 wire = 80.80 mils.
iii) 1 mil = 0.001 inch
iv) therefore diameter of #12 wire = (80.80
0.001) = 0.08080 inches