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N76 [4]
3 years ago
10

Find the distance between two points A ( 1 , 4 ) and B ( 7, 12 )

Mathematics
1 answer:
Archy [21]3 years ago
4 0

d^2= (7-1)^2 + (12-4)^2

d^2= 6^2+8^2= 36+64= 100

d=\sqrt{100} = 10

M= ((4+6)/2, (4+8)/2)

M= (5, 6)

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Answer:

5 \sqrt{2}  +  \: 3 \sqrt{2}  =  \: 8 \sqrt{2}

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4 years ago
Find the area of a sector with an arc length of 40 cm and a radium of 12 cm
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3 years ago
The function F is defined by F(x)=x^2+3X-10
vesna_86 [32]

Answer:

k = 13

smallest zero = -6

Step-by-step explanation:

f(x) is basically the function of x.

x could be any integer. f(x) is the solution of the function of x.

f(x) is defined as x² + 3x - 10

f(x) = x² + 3x - 10

Now, f(x+5) = x² + kx + 30

This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.

f(x) = x² + 3x - 10

f(x+5) = (x+5)² + 3(x+5) - 10

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x² + 13x + 30 = x² + kx + 30

hence, k = 13

Smallest zero = The smallest x value.

f(x+5) = x² + 13x + 30

Let's take f(x+5) = 0

x² + 13x + 30 = 0

which two numbers products give us 30 and add up to 13?

== 6 and 5

(x+6)(x+5) = 0

x+6 = 0

x = -6

x+5 = 0

x = -5

The two solutions are -6 and -5

The smallest out of these two is -6.  

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4 years ago
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6 0
4 years ago
Help plz asap!!!!!--
MA_775_DIABLO [31]

Answer:

width = 16 inches

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