Answer:

Step-by-step explanation:
using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (- 4, 2)
d =
=
=
← in exact form
Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 = 
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,

Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,

Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,

Therefore, the unknown number is 13.
Now, we can verify our answer.

Therefore, the answer is correct.
The solution of a system of equations is the point at which the two lines intersect. Since y is already isolated, we can set the equations equal to each other by doing:
4x=4x+1
Subtract 4x from both sides
0=1
Since 0 cannot equal 1 in any case, the lines never intersect. There is no solution to the problem.
Answer:
-20
Step-by-step explanation:
Answer:
Step-by-step explanation:
y
=mx+b
y=-4x+2