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Helga [31]
3 years ago
12

The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variatio

n, which equation represents this situation?
A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k
Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0

Answer:

lh=k

Step-by-step explanation:

it makes sense

strojnjashka [21]3 years ago
3 0

Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

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Read 2 more answers
Form a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3
polet [3.4K]

The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is x^3-3x^2-x+3=0

Step-by-step explanation:

We need to find a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3.

If -1, 1 and 3 are real zeros, it can be written as:

x= -1, x= 1, and x = 3

or x+1=0, x-1=0 and x-3=0

Finding polynomial by multiply these factors:

(x+1)(x-1)(x-3)=0\\(x+1)(x(x-3)-1(x-3))=0\\(x+1)(x^2-3x-x+3)=0\\(x+1)(x^2-4x+3)=0\\x(x^2-4x+3)+1(x^2-4x+3)=0\\x^3-4x^2+3x+x^2-4x+3=0\\Combining\,\,like\,\,terms:\\x^3-4x^2+x^2+3x-4x+3=0\\x^3-3x^2-x+3=0

So, The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is x^3-3x^2-x+3=0

Keywords: Real zeros of Polynomials

Learn more about Real zeros of Polynomials at:

  • brainly.com/question/1464739
  • brainly.com/question/2568692
  • brainly.com/question/10771256

#learnwithBrainly

8 0
3 years ago
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(-4).(f∘g)(−4). f(x)= f(x)= \,\,3x^2+4x-3 3x 2
rewona [7]

Answer:

(f∘g)(−4) = 12

Step-by-step explanation:

Given the functions

f(x)= 3x^2 + 4x - 3

g(x) = -2x-11

Required

(f∘g)(−4)

(f∘g)(x) = f(g(x))

f(g(x)) = f(-2x-11)

f(-2x-11) = 3(-2x-11)^2 + 4(-2x-11) - 3

f(g(x)) = 3(-2x-11)^2 + 4(-2x-11) - 3

f(g(-4)) = 3(-2(-4)-11)^2 + 4(-2(-4)-11) -3

f(g(-4)) = 3(8-11)^2 + 4(8-11) - 3

f(g(-4)) = 3(-3)^2 + 4(-3) - 3

f(g(-4))  = 3(9) - 12 - 3

f(g(-4))  = 27 - 15

f(g(-4)) = 12

Hence (f∘g)(−4) = 12

8 0
2 years ago
John bought 27.5 m of cloth. How many centimetres of cloth did he buy ?​
horrorfan [7]

Answer:

2750

Step-by-step explanation:

It is 2750 because there is 100cm in 1m, which means if you do 27.5 times 100 you will then get the answer of 2750.

6 0
3 years ago
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