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velikii [3]
3 years ago
13

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
Slope is 3-(-1)/-2 -4= 4/-6 =-2/3
so in the point slope the equation is 
y-4 = -2/3(x-(-1))
y-4 =-2/3 (x +1)
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100 POINTS, WILL MARK BRAINLIEST! If h(x) = f[f(x)] use the table of values for f and f ′ to find the value of h ′(1).
victus00 [196]

Answer:

The value of h^\prime(1)=5

Step-by-step explanation:

Given that  h(x)=f(f(x))

now to find h(x)=f(f(x)) from the given functions f(x) and f'x

let h(x)=f(f(x))

Then put x=1 in above function we get

h(1)=f(f(1))

=f(3) (from the table f(1)=3 and f(3)=6)

Therefore h(1)=6

Now to find h'(1)

Let

h^{\prime}(x)=f^{\prime}(f^\prime(x)) (since  h(x)=f(f(x)) )

put x=1 in above function we get

h^{\prime}(1)=f^{\prime}(f^\prime(1))

=f^{\prime}(2)    (From the table f^\prime(1)=2 and f^\prime(2)=5)

h^{\prime}(1)=5

Therefore h^{\prime}(1)=5

4 0
3 years ago
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(the dimensions are shown in the picture)
Oksanka [162]

Answer:

Total surface area of the prism =145.32 Square centimeters

Step-by-step explanation:

The given figure is a rectangular prism with the given dimensions of :

length(L)= 10.3 cm

Width(W)=2.2 cm

Height(H)=4 cm

Total surface area of the rectangular prism is:

= 2(L*W+W*H+H*L)\\\\=2((10.3*2.2)+(2.2*4)+(4*10.3))\\\\=2(22.66+8.8+41.2)\\\\=2(72.66)\\\\=145.32cm^2\\\\

Total surface area of the prism is 145.32 Square centimeters

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The correct answer is A
Hope this helped :)
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