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2 years ago

5

When a flash of lightning occurs, the number of seconds elapsed until thunder is heard can be used to approximate the distance f

rom the storm. The graph models this situation. Which equation can be used to approximate the distance from a storm, y , in miles, given the number of seconds, x , that has elapsed from the moment that a flash of lightning is seen to the time thunder is heard?

2 answers:

inn [45]2 years ago

6 0

Pretty sure its C :)

denis-greek [22]2 years ago

5 0

After you see a flash of lightning, count the number of seconds until you hear the thunder. (Use the stop watch or count "One-Mississippi, Two-Mississippi, Three-Mississippi," etc.) For every 5 seconds the storm is one mile away. Divide the number of seconds you count by 5 to get the number of miles.

It’s y=1/5x

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Gnesinka [82]

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PIT_PIT [208]

Answer:

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3 years ago

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The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.

pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

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At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

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We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

$m=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{8-4}{-6+6}$

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3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

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You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

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$2's$ $cancel$ $out$
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Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
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$l's$ $cancel$ $out$
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Multiply out the L.
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Plug in all your numbers a = 110 and p = 42
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Factor.
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Make each parenthesis set equal to 0.
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Add.
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Nana76 [90]

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I hope this helps! :)

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3 years ago

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