Answer:
Step-by-step explanation:
<u>Slope-intercept form is:</u>
<u>Points given:</u>
<u>y-intercept is </u>
- b = 7 as per the first point
<u>And the slope is:</u>
- m = (-2 - 7)/(8 - 0) = -9/8
<u>So the line is:</u>
Define unit vectors along the x-axis and the y-axis as

respectively.
Then the vector from P to Q is

In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).
The answer is (3,2). I did this by drawing a graph, inserting the two midpoints you provided, and put in each potential midpoint, finding (3,2) is the only midpoint that connects to the line.
Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
Answer:
Estimate
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