Answer:
slope = 1/2
Step-by-step explanation:
slope = y2-y1 / x2-x1
1 - -2 / 4 - -2 = 3/6 = 1/2
or think of it this way. for every 1 step up you take 2 steps to the right to stay on the line. 1/2
Answer:
The solution is in the attached file below
Any perpendicular line has a negative reciprocal slope. So your slope would be 2. The. You would have the equation : y=2x+b. You would then replace the coordinate (5,6) with x and y on your line to solve for b. Your equation would be : y=2x-4
Answer:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
Step-by-step explanation:
Given
Salad Meats Dressings
O = Olives S = Shrimp I = Italian
M = Mushroom E = Egg H = Honey mustard
To determine the sample space, we simply select one from each column.
Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI
So, the following sample space exists:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
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Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>