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timofeeve [1]
3 years ago
9

ASAP! find the slope of a line that is perpendicular to y=-1/2x+4

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

We know that :

Ф  Product of the slopes of two lines perpendicular to each other should be equal to -1

Let the slope of the line perpendicular to given line be : M

Given equation of the line : y = -1/2x + 4

This line is in the form : y = mx + c, where m is the slope and c is the y intercept

Comparing with y = mx + c :

we can notice that slope of the given line is -1/2

⇒   M × -1/2 = -1

⇒   M × 1/2 = 1

⇒   M = 2

<u>Answer</u> : Slope of the line perpendicular to given line is 2

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Make U the subject of the formula <br> D = ut + kt2
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Remark

I'm going to interpret this equation as

D = ut + kt²  The only difference is the 2.

Solution

Subtract kt² from both sides.

D - kt² = ut   Now divide by u on both sides.

\dfrac{D - kt^2}{t} = \dfrac{ut}{t}

The t's cancel out. on the right.  You are left with u on the right.

\dfrac{D - kt^2}{t} =\text{u}


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3 years ago
Some farms use a hay elevator to move bales of hay to the second story of a barn loft. The bottom of the elevator is 9 meters fr
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Answer: The height is 6.07 meters

Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;

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Tan 34 = h/9

0.6745 = h/9

0.6745 x 9 = h

6.0705 = h

Therefore the approximate height of the barn to the ground is 6.07 meters

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3 years ago
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Step-by-step explanation:

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535.29 = 400(1 + r) 5
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Answer:

Step-by-step explanation:

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