<h3>
Answer: Choice C</h3>
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Explanation:
For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4
Check out the attached image below for the sorted table I'm referring to
We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one
4 times 1/2 = 2
2 times 1/2 = 1
1 times 1/2 = 1/2
1/2 times 1/2 = 1/4
and so on. Effectively we can say the decay rate is 50%
Point-slope form: y - 5 = (-1/5)(x - 7)
standard form: x + 5y = 7
slope-intercept form: y = (-1/5)x + (7/5)
***note: (-1/5) = -0.2 and (7/5) = 1.4
<em>Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.</em>
<em> b² = a² + c² - 2ac(cosB)</em>
<em>Substituting the known values,</em>
<em> (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)</em>
<em>The value of B from the equation is 48.6°. </em>
Answer:
12 square inches.
Step-by-step explanation:
Please consider the complete question.
A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.
The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.
The area of the sail will be equal to area of triangle.
Therefore, the area of the sail is 12 square inches.
To simplify this expression would be 4x-3
