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KengaRu [80]
3 years ago
5

Will mark brainiest

Mathematics
2 answers:
Jet001 [13]3 years ago
8 0
N=55

A^2 + B^2 = C^2

48^2 + B^2 = 73^2

2304 + B^2 = 5329

-2304 -2304

B^2 = 3025

Sqrt B^2= sqrt 3025

B= 55
horrorfan [7]3 years ago
3 0

Answer:

N = 55

Step-by-step explanation:

<h2><u>make use of Pythagoras theorem </u></h2>

which is :

<h3><em>c^2 = a^2 + b^2</em></h3>

where c is the hypotenuse

a is the adjacent

b is the opposite

c = 73

a = 48

b = N

now plug these in the formula

73^2 = 48^2 + N^2

now make N the subject of formula

73^2 - 48^2 = N^2

3025 = N^2

\sqrt{3025} \\ = N

N = 55 --- the murder was not done with a fallen object

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Aleonysh [2.5K]

Answer:

the vertex is:

(2, -1)

Step-by-step explanation:

First solve the equation for the variable y

x^2-16y-4x-12=0

Add 16y on both sides of the equation

16y=x^2-16y+16y-4x-12

16y=x^2-4x-12

Notice that now the equation has the general form of a parabola

ax^2 +bx +c

In this case

a=1\\b=-4\\c=-12

Add (\frac{b}{2}) ^ 2 and subtract (\frac{b}{2}) ^ 2 on the right side of the equation

(\frac{b}{2}) ^ 2=(\frac{-4}{2}) ^ 2

(\frac{b}{2}) ^ 2=(-2) ^ 2

(\frac{b}{2}) ^ 2=4

16y=(x^2-4x+4)-4-12

Factor the expression that is inside the parentheses

16y=(x-2)^2-16

Divide both sides of the equality between 16

\frac{16}{16}y=\frac{1}{16}(x-2)^2-\frac{16}{16}

y=\frac{1}{16}(x-2)^2-1

For an equation of the form

y=a(x-h)^2 +k

the vertex is: (h, k)

In this case

h=2\\k =-1

the vertex is:

(2, -1)

6 0
3 years ago
242.8333333333333 rounded to the nearest hundredth
balandron [24]
The answer would be 242.8
It will not go up because in order to round up it must be 5 or above.
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Answer:

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Step-by-step explanation:

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