Mathematics, 30.12.2019 05:31 mmelody5

Would some one understand me and me with this one i have been try to solve it for a week.

Would some one understand me and me with this one i have been try to solve it for a week. <

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Answer from: emma4113

The value of x in all the cases is $\frac{22}{4}$ .

Step-by-step explanation:

The given equation is:

$ 4x + 10 = 32 $

a. Add 4 on both the sides. The equation becomes $ 4x + 14 = 36 $

The operation of addition (or subtraction) done on both the sides of the equation will not alter the value. They will still be equal. However, adding a non - zero term to only one side of the equation will result in the equation becoming unequal.

b. Equivalent Equations are those equations which have the same roots or solutions. Note that, the equations $ 4x + 10 = 32 $ and $ 4x + 14 = 36 $ have the same solution. Then these equations can be named 'equivalent equations'.

c. Subtraction:

Subtract any number from both the sides of the equation, say, 5.

$\implies 4x + 5 = 27$ . The solution is still not altered.

Multiplication:

Multiply through by 2. We get: $ 8x + 20 = 64 $ . The value of x is still the same.

Division:

Divide through out by -2. The solution is unaltered.

Note that operations of Multiplication and Division are to be done by non -zero numbers. Otherwise it would be altered.

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

Answer from: Quest

it is x=-4

step-by-step explanation:

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Would some one understand me and me with this one i have been try to solve it for a week.
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