Answer:
2x−3=x
Move all terms containing x
to the left side of the equation.
Subtract x
from both sides of the equation.
2x−3−x=0
Subtract x
from 2x
x−3=0
Add 3
to both sides of the equation.
x=3
Answer:
1. A = 2x; P = 4x+2. A = 4; P = 10.
2. A = y² +2; P = 4y +2. A = 27; P = 22.
Step-by-step explanation:
1. The area is the sum of the marked areas of each of the tiles:
A = x + x
A = 2x
__
The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...
P = 1 + (x-1) + x + 1 + (x+1) + x
P = 4x +2
__
When x=2, these values become ...
A = 2·2 = 4 . . . . square units
P = 4·2+2 = 10 . . . . units
_____
2. Again, the area is the sum of the marked areas:
A = y² + 1 + 1
A = y² +2
__
The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...
P = y +(y-2) +1 +2 +(y+1) +y
P = 4y +2
__
When y=5, these values become ...
A = 5² +2 = 27 . . . . square units
P = 4·5 +2 = 22 . . . . units
Answer:
Length= 28 inches
Step-by-step explanation:
Hope it helps!!!!
Answer:
Step-by-step explanation:
The function t, where t(x) = 9.50x represents the amount of money Fernando earns given the number of hours, x, that he works.
The domain of a function are the set of possible values of x, the independent variable that satisfies the function.
Fernando works between 12 and 25 hours each week. It means that the statement that best represents the domain of this function for any given week would be
12 ≤ x ≤ 25
Answer:
z' = 2iz +11 -2i
Step-by-step explanation:
Dilation multiplies each point by the scale factor. Rotation by 90° CCW is equivalent to multiplication by i.
When the center is not the origin, the transformation is applied to the difference from the center, then the result is added to the center.
z' = 2i(z -(3+4i)) + (3+4i)
Simplifying gives ...
z' = 2iz -6i +8 +3 +4i
z' = 2iz +11 -2i
_____
<em>Check</em>
For example, consider the point 1 unit east of the center of dilation/rotation. That point is z = 4+4i. Applying the transformation moves this point to ...
z' = 2i(4 +4i) +11 -2i = 8i -8 +11 -2i
z' = 3 +6i . . . . . 2 units north of the center of dilation/rotation
This is where it is expected to be after dilation by a scale factor of 2 and rotation 90° CCW.
