Answer:
32
Step-by-step explanation:

Answer:
The value of X is more than equal to -1.83.
Step-by-step explanation:
We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'
LHS of the inequality will be : -32x-5
RHS of the inequality will be : (52-X)
So,

Adding X both sides

Adding 5 to both sides,

Dividing both sides by -31.

So, the value of X is more than equal to -1.83.
Using linear combination method, the solution to given system of equations are (-7, -15)
<h3><u>Solution:</u></h3>
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated
Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.
<u><em>Given system of equations are:</em></u>
2x - y = 1 ---- eqn 1
3x - y = -6 ------ eqn 2
Subtract eqn 2 from eqn 1
2x - y = 1
3x - y = -6
(-) -------------
-x = 7
<h3>x = -7</h3>
Substitute x = -7 in eqn 1
2(-7) - y = 1
-14 - y = 1
y = -14 - 1 = -15
<h3>y = -15</h3>
Thus the solution to given system of equations are (-7, -15)
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).
First, we find the midpoint M using the midpoint formula:

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if
m and
n are the slopes of 2 parallel lines, then
mn=-1.
The slope of WX is

.
Thus, the slope n of the perpendicular line is

.
The equation of the line with slope

containing the point M(0, -1) is given by:




Answer: 5x-3y-3=0
6+4/4 + 3/3 (substitute variables)
10/4 + 3/3 (add 6+4)
5/2 + 1 (Simplify fractions)
2 1/2 + 1 (Write improper fraction as proper fraction)
3 1/2 (add)
Answer: 3 1/2 (three and a half)