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alina1380 [7]
3 years ago
13

What is the equation of the line with a slope of -1/2 that passes through the point (6,-6)

Mathematics
1 answer:
Leona [35]3 years ago
3 0
The answer is y=-1/2x-6
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A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow
Natasha_Volkova [10]

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

r = 46/t - 12

Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

r = 12 - 46/(t + 2)

Hence, equaling the values for r:

46/t - 12 = 12 - 46/(t + 2)

46/t + 46/(t + 2) = 24

\frac{46t + 92 + 46t}{t(t + 2)} = 24

92t + 92 = 24t² + 48t

24t² - 44t - 92 = 0

Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

#SPJ1

4 0
1 year ago
Complete the explanation on the 2 errors Margaret made, and then give the correct answer.
klemol [59]

Answer:

For the first page 2nd line they did 88846 squared instead of cubed.

The correct answer is 935,087,000,000,000.

Step-by-step explanation:

8 0
2 years ago
Find an area of a figure whose coordinates are A(-2, 2), B(2, 2), and D(-2, -2).
ivann1987 [24]
8 square units
A triangle
8 0
2 years ago
Can anyone help me with this?
faltersainse [42]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle
mrs_skeptik [129]

Answer:

103.78\:\mathrm{ft}

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

\tan 34^{\circ}=\frac{70}{x}, where x is the distance between the base of the tower and the fire.

Solving, we get:

x=\frac{70}{\tan 34^{\circ}}=103.779267796\approx \boxed{103.78\:\mathrm{ft}}

8 0
3 years ago
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