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quester [9]
3 years ago
8

Consider the following pair of equations:

Mathematics
1 answer:
frozen [14]3 years ago
3 0
X+4=y=-2x-2
x+4=-2x-2
add 2x to both side
3x+4=-2
minus 4 both sides
3x=-6
divide 3
x=-2

sub back
y=x+4
y=-2+4
y=2

(x,y)
(-2,2)
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Tell me all the properties of algebra
Keith_Richards [23]

Answer:

  • Commutative Property of Addition.-  
  • 2 + 3 = 3 + 2
  •  Commutative Property of Multiplication.- ex. 5 × 7 = 7 × 5  
  • Associative Property of Addition.- ex.(2 + 3) + 6 = 2 + (3 + 6)  
  • Associative Property of Multiplication.- ex. (7 × 3) × 10 = 7 × (3 × 10)
  • Distributive Properties of Addition Over Multiplication- ex. 2 × (2 + 8) = 2 × 2 + 2 × 8  
  • (2 + 8) × 10 = 2 × 10 + 8 × 10
  • The reciprocal of a non zero real number a is 1/a.- ex. reciprocal of 5 is 1/5 and 5 × (1/5) = 1

Step-by-step explanation:

7 0
3 years ago
Can Someone help me ​
mrs_skeptik [129]

Answer:

1. congruent

2. congruent

3. not congruent

4. not congruent

5. congruent

6. congruent

7. congruent

8. congruent

9. congruent

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and
Ahat [919]

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

5 0
3 years ago
The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.​
katovenus [111]

The difference between the 6th term and the 9th term of the sequence is 135

<h3>How to determine the difference</h3>

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

4 0
2 years ago
Help me please . quick :)
ycow [4]

Answer:

x= 1

QS = 10 cm

QRS = 40cm

Step-by-step explanation:

4x + 1 = 5x

x= 1 cm

QS = 4x + 1 + 5x

= 9x + 1

= 9 + 1

= 10cm

QRS perimeter

QS + RQ + RS but ( RQ = RS)

= 10 + 15 + 15

= 40cm

3 0
3 years ago
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