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AleksAgata [21]
3 years ago
9

In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t

he nearest tenth.
Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer: perimeter of triangle ABC to the nearest tenth = 27.4

Step-by-step explanation: Given that

vertices are

A(- 4, 5), B(- 4, - 4) , and C(3,-4)

Length AB = root( [-4-5]^2 + [-4+4]^2)

Length AB = sqr(9^2) = 9

Length AC = root( [-4-5]^2 + [3+4]^2)

Length AC = sqr( 9^2 + 7^2)

Length AC = sqr(130) = 11.4

Length BC = root( [-4+4]^2 + [3+4]^2)

Length BC = sqr( 7^2) = 7

Perimeter = 9 + 11.4 + 7 = 27.4

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<h3>Define the term concurrent validity?</h3>
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5 0
1 year ago
Find the reciprocal of this number 2 1/4
Anarel [89]

\frac{4}{9}
6 0
3 years ago
Read 2 more answers
2. R(1, 1), 5(1,7), Т(5,7), U(5, 1); k =<br> 45<br> у<br> о<br> Help
Gekata [30.6K]
(5,7) because when you divide that’s the answer you get
8 0
3 years ago
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
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Solve for w. 7(-2w + 3) = 1 - 4w <br>what is the value of w? ​
blondinia [14]

Answer:

w=2

Step-by-step explanation:

-14w + 21 = 1 - 4w

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w = -20/-10

w=2

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3 years ago
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