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max2010maxim [7]
3 years ago
14

Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome

to walk 1 mile?
Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

5/6

Step-by-step explanation:

3 hours= 2 1/2 miles

1 hour= 2 1/2 divided by 3

It would take him 5/6 of an hour

Hop this helps!

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Which equation describes the same line as y- 5 = -2(x + 4)?
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Y-5=-2(x+4)
Y-5=-2x-8
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Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

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3 years ago
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Measure of angle is 59.1
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Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip is foot l
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Line F has a slope of. -6/3 and line G has a slope of -8/4.
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Given:

Slope of line F = -\dfrac{6}{3}

Slope of line G = -\dfrac{8}{4}

To find:

The conclusion about distinct lines F and G.

Solution:

We have,

Slope of line F = -\dfrac{6}{3}

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Slope of line G = -\dfrac{8}{4}

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The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.

Therefore, the line F and line G are parallel to each other.

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2 years ago
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