Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Samantha and Mia are 13 km apart from each other.
<h3>What is
Pythagorean ?</h3>
A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.
Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.
Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.
A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.
Hypotenuse of the triangle, which measures distance between the females
the Pythagorean theorem,
H² = P² + B²
H² = 7² + 11²
H² = 49 + 121
H = √170
H = 13.038
H = 13km
Between them, there is a 13 kilometer distance.
To know more about Pythagorean Theorem visit:
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Answer:
(x+4)^2 + (y-9)^2 = 25
Step-by-step explanation:
We can use the equation (x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5
(x- -4)^2 + (y-9)^2 = 5^2
(x+4)^2 + (y-9)^2 = 25
Answer:
10.50 acres per hour or 1.75 per 10 minutes(1/6 of an hour)
Step-by-step explanation:
5/6 of an hour is 50 minutes
1/6 of an hour is 10 minutes
8 3/4 is equal to 8.75
8.75/5 is equal to 1.75 which means she harvests 1.75 acres per hour
1.75 x 6(hour) is equal to 10.50 acres total in one hour
