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bekas [8.4K]
3 years ago
6

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed

of 2.3 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? (Round your answer to one decimal place.)

Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer: The length of his shadow on the building is decreasing at a rate of 0.86 m/s

Step-by-step explanation: Please see the attachments below

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Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1.
Anastaziya [24]
Point slope form = y - y1 = m (x - x1)

y - 5 = -1 (x -(-1))
y - 5 = -1 (x+1)

Hope this helps :)
7 0
3 years ago
What is the distance between the points (-4,0) and (-7, -14) ?​
vlada-n [284]

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178

7 0
3 years ago
Polynomial Equation question<br>(Screenshot included)
Illusion [34]

y = {x}^{3}  - 4 {x}^{2}  - 45x \\ y = x( {x}^{2}  - 4x - 45) \\ y = x(x + 5)(x - 9) \\ x = 0, - 5,9
So, to find our x-intercepts, y must be zero
0 = x \\  \\ 0 = (x + 5) \\  - 5 = x \\  \\ 0 = (x - 9) \\ 9 = x
ANSWER: (0,0) (-5.0) (9,0) are your x-intercepts
6 0
3 years ago
Solve the simultaneous equations:<br><br> 5x+4y=5<br> 2x+7y=29
OLga [1]

Answer:

x=−3 and y=5

Step-by-step explanation:

3 0
3 years ago
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of th
Alekssandra [29.7K]

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

5 0
3 years ago
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