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sleet_krkn [62]
3 years ago
10

Which properties justify the steps taken to solve the system?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

This system of equations was solved  the Reduction Method:


 Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.

 Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).

 Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).

 Step 4: The value "a" obtained is substituted in one of the previous equations.

 Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).

 Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)

 The final step is to clear variable "b" to know its value (b= -17/4= -2).

Step-by-step explanation:


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Calculate the rate of change.
Tpy6a [65]

Answer:

2

Step-by-step explanation:

Rise is 10 run is 5 Rate of Change is rise over run.

7 0
3 years ago
If x represents an even number, which expression represents an odd number?
Sauron [17]
Test the choices !
Pick an even number, and see what each choice does to it.

Let's start with, say,  6 .
We'll try each choice, and see which one produces an odd number:

a).  6 to the 2nd power. . . . . .  6 x 6 = 36.  That's not an odd number.

b).  6 + 3  =  9  This could be it.  9 is odd. We'll save this one.

c).  3·6 = 18.  That's not an odd number.

d).  6/3 = 2.  That's not an odd number.

The only one that gave us an odd number is (b).


3 0
3 years ago
PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li
Sonja [21]

Answer:

x=10

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

(8x+50)\°=130\° -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

8x=130-50

8x=80

Divide by 8 both sides

x=80/8

x=10

7 0
3 years ago
The figure shows a square, a regular pentagon and a regular hexagon put together. What is the measure of ∠BAC
Elan Coil [88]

Answer:

42

Step-by-step explanation:

One angle of a regular pentagon = 108°

One angle of a regular hexagon = 120°.

One angle of a square = 90°

∴ ∠BAC = 360 – (108 + 20 + 90) 360 – 318 = 42°

8 0
2 years ago
I think its C, not sure
Alona [7]
Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice:  [C]:  " x³ − 9x² + 23x <span>− 12 " .
___________________________________________________
Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
          (x − 4) (x² <span>− 5x + 3) = 

   x * x</span>² = x³ <span>− 

   x * 5x = 5x</span>² + 

   x * 3   = 3x <span>−

   4 * x</span>²  = 4x² <span>−

   -4 * 5x =  -20x +

   -4 * 3 =  -12; 
________________________________________
</span>          (x − 4) (x² − 5x + 3) = 

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

=  x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x²  + 23x − 12 ;  which is:
__________________________________________________
Answer choice:  [C]:  " x³ − 9x²  + 23x − 12 " .
__________________________________________________
7 0
3 years ago
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