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kakasveta [241]
3 years ago
6

Find the length of BC. A) 8 B) 12 C) 16 D) 18

Mathematics
2 answers:
Kitty [74]3 years ago
5 0
B

6/4=18/X
6x= 72
X=12

Or you can say 4+4+4=12
Ilia_Sergeevich [38]3 years ago
3 0
GEF~CBF, because <F is general and <GEF=<CBF=90°. => GE:CB=EF:BF=6:18=1:3
GE:CB=1:3
4:CB=1:3
CB=12
The answer is B
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Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

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Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

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3 0
3 years ago
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horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

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The points A and B are located where

y=a(x+1)(x-5)=0

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\boxed{a=-0.3575}

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Answer:

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Therefore,

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Divide both sides by 5

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

8 0
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