Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

<em>add 9 to both sides</em>
<em>divide both sides by 2</em>

Parallel lines have the same slope. Therefore we have the equation:

Put the coordinates of the point (4, -4) to the equation:


<em>subtract 14 from both sides</em>

Finally we have the equation:

Answer:
See below in bold.
Step-by-step explanation:
1 teaspoon holds 5 ccs so that is 2 teaspoons per dose.
2 teaspoons every 6 hours is 4 * 2 = 8 teaspoons per day.
he ran 8 * 1.5 = 12 miles
the bus went : 55 * 24/60 = 22 miles
12 +22 = 34 miles total
Answer: The climb angle is 14°
Step-by-step explanation:
We can create a rectangle triangle, where the velocity of the plane is the hypotenuse, the horiontal component (1000 ft by unit of time) is a cathetus and the vertical component is (250ft by unit of time).
We want to find the angle that is adjacent to the horizontal component, so we can use the relationship.
Tan(angle) = opposite cathetus/adjacent cathetus
Tan(angle) = 250/1000 = 1/4
Angle = Atan(1/4) = 14°
From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.
<h3>How to solve the distance</h3>
From the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:
= 100 - 80
= 20 meters
Therefore, the fraction of their distance will be:
= 20/100 = 1/5
Therefore, the number of meters behind the turtle that the rabbit should start will be:
= 80 × 5
= 400 meters.
Learn more about distance on:
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