<span>-4x -2<8
Add 2 to both sides
-4x<10
Divide -4 on both sides
Final Answer: x > -10/4 or -2 1/2 *Both answers are equivalent to each other.
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For this case we have the following system of equations:

From the first equation we clear "x":

We substitute in the second equation:

We apply distributive property:

We add similar terms:

We add 65 to both sides:

We divide between 22 on both sides:

We look for the value of the variable "x":

Thus, the solution of the system is:

ANswer:

40.25 is 40 1/4 as a decimal
Answer:
As you can see Rectangle L M NO and Rectangle L'M'N'O' are such that
1. Size of Rectangle L M NO > Size of Rectangle L'M'N'O'
2. Sides of, means length and breadth of Rectangle L M N O is not in proportion to Rectangle L'M'N'O'. i.e

3. Out of four possibilities given :
, Reflection and Rotation is not possible because in all the three cases Pre-image and image are not congruent or similar.
As in,Rectangle LMNO →when length and breadth get reduced by scale of 2 and 0 and Dilation by scale factor of< 1 we get Rectangle L'M'N'O'.Centre of dilation may be other than origin.
So, Stretching of preimage i.e Rectangle L M NO→ means Shrinking has taken place to get image Rectangle L'M'N'O'.As shrinking is not an option.
So, Dilation by a factor less than 1, center of dilation other than origin has taken place.
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!