Answer: X=11
Step-by-step explanation:
7x+ 13 = 90
(bring like terms together)
7x=90-13
7x=77
therefore x= 11
HOPE THIS HELPS YOU....
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Answer:
x = -2 0r x = 6
Step-by-step explanation:
from the question
X² – 4x – 12=0
solve by completing the square method
we have;
X² – 4x – 12=0
X² – 4x = 12
to make the left hand side a perfect square we add 4 to both sides.
X² -4x + 4 = 12 + 4
X² -4x + 4 = 16
from left hand side X² -4x + 4
= (x -2) × ( x -2)
it can be simply expressed as
( x-2)²
so since X² -4x + 4 has been simplified to be ( x-2)²
then,
( x-2)² = 16
x - 2 = √ 16
since square root has two values it can either be positive or negative
so we have
x = 2 + √16
or
x = 2 - √16
therefore
x = 2 + √16
x = 2 + 4
x = 6
0r
x = 2 - 4
x = -2
Answer:
Rectangle: 112m
Trapezoid: 28m
Step-by-step explanation:
The area of the rectangle is 8*14, which is 112. The area of the trapezoid is ((base1 + base2)* height)/2. That is ((4+10)*4)/2, which is 28.
It takes 107.692 minutes approximately to fill the pond
<em><u>Solution:</u></em>
Given that inlet pipe can fill an artificial pond in 70 min
So the inlet pipe can fill 
of the pond in 1 min
An outlet pipe can empty the same pond in 200 min
So the outlet pipe can empty 
of pond in 1 min
Here negative sign denotes "empties the pond"
To find: With both pipe open, time taken to fill the pond
Let "x" be the time taken by pipes to fill the pond
With both pipes are left on, so together their rate is:
On solving,
Thus it takes 107.692 minutes approximately to fill the pond
