Answer:
x>-5
Step-by-step explanation:
-5(x+7)<-10
divide by -5 (and because we divided by a negative number swap the inequality sign)
x+7>2
x> -5
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer:
x=12 or x= -12 (answer A)
Step-by-step explanation:
|x| – 5 = 7
|x| = 12
x=12 or x= -12 (answer A)
Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to
isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:</span>

<span>Add
-4 to both sides to isolate the variable.
</span>

<span>
Simplify.
</span>

Divide both sides by
2 to isolate the variable on one side.


Hope this helps.
-Benjamin
Answer:
9√10 (nine square root ten)
Step-by-step explanation:
(3√3 .√5.√3.)√2
= (3√3*3.√5)√2
=(3*3.√5)√2
=(9√5) √2
=9√5*2
=9√10