6. Answer: y = 5x - 11
<u>Step-by-step explanation:</u>
Parallel means "same slope". y = 5x - 2 is in the form y = mx + b,
so the slope (m) = 5
Next, input the point (x₁, y₁ = 2, -1) and slope (m = 5) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
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7. Answer:
<u>Step-by-step explanation:</u>
Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ =
Next, input the point (x₁, y₁ = 3, 5) and slope (m =
) into the Point-Slope formula:
y - y₁ = m(x - x₁)

Answer:
7.1 in
Step-by-step explanation:
use the pythagorean theorem
3.1^2+6.4^2=c^2
9.61+40.96=50.57
***IMPORTANT remember to square root the answer you get. it will still be in c^2 form. so 50.57 wouldn't be the real answer, and instead would be 7.1
Answer:
1. y = 1
2. x = 1 -6y/7 or y = 7/6 - 7x/6
Step-by-step explanation:
Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."
2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."
54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.