Answer:
x = -1
Step-by-step explanation:
-2x + 8 = 10
-2x = 2
x = -1
Answer:
A psychiatrist interprets the thing based on its physical appearance and sometimes in a way that is beyond everyone's imagination so in case of paper plate instead of thinking it as a plate used for eating or something, a psychiatrist may only go upon its physical properties that it is made up of paper and end up in describing it as a piece of paper.
So, A psychiatrist might describe a paper plate as a simple piece of paper.
Answer:
The reason is that the since the segment AB and the new line passing through A are both parallel to the segment CD and all points on the new line and the segment AB are the same perpendicular distance from CD and the segment AB and the new line which follow the same direction share a common point, A, then the line drawn must fall on AB
Step-by-step explanation:
The given information are;
The shape of the quadrilateral ABCD = A parallelogram
The direction of the line to be drawn = Parallel to CD
A point on the line to be drawn = Point A
Therefore, given that ABCD is a parallelogram, we have;
Segment AB is parallel to segment CD
All points on AB are equidistant from all points on CD
The perpendicular distance of point A from the lime CD = The perpendicular distance of point B from the lime CD
The line to be drawn is also parallel to CD with point A located on the line, therefore, given that the length of a line is infinite, and all points on two parallel lines have equal perpendicular distance from the each other, the point B on the segment AB which has the same perpendicular distance as the point A from the segment CD will be located on the new line passing drawn passing through A and parallel to the segment CD then the new line drawn must coincide with the segment AB.
Answer:

or

Step-by-step explanation:
<u><em>The correct question is </em></u>
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is

Convert mixed number to an improper fractions


Substitute in the expression above

solve for x
Multiply by (4*6) both sides to remove the fractions

Combine like terms left side

subtract 46 both sides


Divide by 24 both sides

simplify

Convert to mixed number

Answer:
(2, 1)
Step-by-step explanation:
A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x
it starts at the origin
goes 2 units to the right
1 unit above
2 units to the right + 1 unit above = (2, 1)
Final Answer: (2, 1)