Answer:
x < 0
Step-by-step explanation:
Firstly put the values with variable x to one side,
; -12 - x > -12 + 4x
; -12 + 12 > 4x + x
; 0 > 5x
then divide both sides by 5,
; (0 ÷ 5) > (5x ÷ 5)
; 0 > x
; Hence the solution to the inequality above,
; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,
Therefore...( x < 0 )
Answer: 102
Step by Step Explanation:
5y+11=8y-13
-8 -8y
-3y+11=-13
-11 -11
<u> 3y </u>=<u> -24</u> = 8 y=8
3y 3y
5(8)+11=51
Multiple 51 times 2 and you're answer will be the following.
9514 1404 393
Answer:
20 square units
Step-by-step explanation:
The area is given by the formula ...
A = bh
where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...
A = 5·4 = 20 . . . . square units
_____
<em>Additional comment</em>
You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.
The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)
Answer:
28.5 feet
Step-by-step explanation:
A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?
The formula is given as:
Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree
Let the Height of the tower = x
Hence:
x/24 = 9.5/8
Cross Multiply
8x = 24 × 9.5
x = 24 × 9.5/8
x = 28.5 feet
Therefore, the height of the water tower is 28.5 feet
Answer:
28 km per hour
Step-by-step explanation:
Kilometres Brian needs to drive in an hour = total kilometres / total hours
168 km / 6 hours = 28 km per hour
