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SCORPION-xisa [38]
3 years ago
12

Please help this is due today!!

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

c is the answer

Step-by-step explanation:

Graphs really aren't my thing but I really feel like it is c

GOOD LUCK HOPEFULLY YOU GET A GOOD GRADE

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"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from t
Svet_ta [14]

Answer:

Step-by-step explanation:

The question has typographical errors. The correct question is:

"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 ​feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the​ wall?

Solution:

The ladder forms a right angle triangle with the ground. The length of the ladder represents the hypotenuse.

Let x represent the distance from the top of the ladder to the ground(opposite side)

Let y represent the distance from the foot of the ladder to the base of the wall(adjacent side)

The bottom of the ladder is sliding along the pavement directly away from the building at 3ft/sec. This means that y is increasing at the rate of 3ft/sec. Therefore,

dy/dt = 3 ft/s

The rate at which x is reducing would be

dx/dt

Applying Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side², it becomes

x² + y² = 12²- - - - - - - -1

Differentiating with respect to time, it becomes

2xdx/dt + 2ydy/dt = 0

2xdx/dt = - 2ydy/dt

Dividing through by 2x, it becomes

dx/dt = - y/x ×dy/dt- - - - - - - - - - 2

Substituting y = 5 into equation 1, it becomes

x² + 5 = 144

x² = 144 - 25 = 119

x = √119 = 10.91

Substituting x = 10.91, dy/dt = 3 and y = 5 into equation 2, it becomes

dx/dt = - 5/10.91 × 3

dx/dt = - 1.37 ft/s

7 0
3 years ago
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none select non
MrRa [10]

Answer:

Option (2). None

Step-by-step explanation:

A quadrilateral ABCD has been given with a property,

m∠7 = m∠4

Option (1). AB║ DC

For AB║DC, angle 7 and angle 3 should measure the same.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AB║DC.

Option (3). AD║BC

For AD║BC, angle 7 and angle 3 must be equal in measure.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AD║DC

Option (2). None will be the answer.

8 0
3 years ago
Would someone help me with this problem
ruslelena [56]

hey buddy how's it going?

3 0
3 years ago
If f(x)=3x+1 and g(x)=1x what is the value of (f-g)(2)
Lyrx [107]

f(x) 3x+1

g(x) 1x

f(1x) = 3(1x)+1

f = 3x+1

g(3x+1) = 1(3x+1)

g = 3x+1

6 0
3 years ago
How to find integers and their opposites closed under addtion
Digiron [165]
You can find additive inverse to find integers and their opposites closed under addition.
7 0
3 years ago
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