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Lynna [10]
3 years ago
5

Find the slope please

Mathematics
2 answers:
inysia [295]3 years ago
7 0

Answer:

-1/3

Step-by-step explanation:

NikAS [45]3 years ago
4 0

Answer:

-0.33

Step-by-step explanation:

The slope is -0.33 bc first, the line is going down so its negative. Second, use rise/run which is the Hight from each point / the length from each of the points. you can see that the rise is one, and the run is three so do 1/3 which equals -0.33

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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
Evaluate each expression when x=2, y=-5 and z=3 <br> xy-z
gulaghasi [49]

when x=2, y=-5 and z=3

xy-z


2(-5)-3

-10-3

-13

8 0
3 years ago
I'm doing test corrections rn but I need to show the work for this answer. The problem is that the this doesn't show the work an
BabaBlast [244]

The two angles are corresponding angles, so they are congruent (due to the horizontal lines being parallel)

x+15 = 102

x+15-15 = 102-15 .... subtract 15 from both sides

x = 87

6 0
3 years ago
Which choice is a graph of the solution set for 12 - X &lt; 8?<br> Pleaseeeee helpppppp NUMBER 14
yarga [219]

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

7 0
3 years ago
Are the expressions below equivalent 3(4x+8) 12x+24
Pepsi [2]
Yes they are equivalent
5 0
3 years ago
Read 2 more answers
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