4 years ago

F(x)= -x^2+4x+5 what is the vertex

Mathematics

1 answer:

Pachacha [2.7K]4 years ago

6 0

Answer:

The answer to this is (0,9)

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the picture in the attached figure

we know that

area of the triangle is equal to

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in this problem

A=47 in²

b=x

h=x

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therefore

the answer is

x=9.7 in

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3 years ago

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3 years ago

What is the length of AC?<br><br><br> 3 ft<br><br> 4 ft<br><br> 9 ft<br><br> 18 ft

iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

$\frac{BM}{BA}=\frac{MN}{AC}$

$\frac{BM}{BM+MA}=\frac{MN}{AC}$

$\frac{4}{4+4}=\frac{9}{AC}$

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Thus, The length of AC is 18 ft.

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