The correct answer is:  [D]:  " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;

↔ c² = 6² + 4² ;

= (6*6) + (4*4) ;

= 36 + 16 ;

= 52 ;

c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;

  √(c²) = √52 ;

c = √52 ;

At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;

The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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5 0

3 years ago

In a paragraph explain the "system of equations"

MakcuM [25]

A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

4 0

3 years ago

.Solve the system of equations. Use elimination

Elina [12.6K]

Answer:

a) (-9,3)

Step-by-step explanation:

x + 2y = -3

- (x - y = -12)

x + 2y = -3

- x + y = 12

3y = 9