Which of the following indicates the division property of equality when solving –12x = 48? Question 1 options:

A)

B)

C)

D)

Question 2 (5 points)
If x = 2 and 2 = a, which of the following statements is true according to the transitive property?
Question 2 options:

A)

x = a – 2

B)

2x = a

C)

x = 2a

D)

x = a
Question 3 (5 points)
The statement "A line segment AB is congruent to itself" represents the property of congruence.
Question 3 options:

A)

distributive

B)

transitive

C)

reflexive

D)

symmetric
Question 4 (5 points)
If a + b = c and b = 5, then a + 5 = c is known as the property.
Question 4 options:

A)

transitive

B)

reflexive

C)

substitution

D)

symmetric
Question 5 (5 points)
Which of the following represents the symmetric property of congruence?
Question 5 options:

A)

If ≅ , then ≅

B)

If ≅ and ≅ , then ≅

C)

≅

D)

If ≅ , then ≅

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a

step-by-step explanation:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0