Okay, all we need to do is divide 8 from both sides:
-104/8=-13
So x=-13
:D
Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e .
The line is perpendicular to x-axis and cuts the x-axis at .
Therefore , the angle between the line and x-axis is .
So , slope i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
4a-8=28
add 8 to both sides to start to isolate the variable (a)
-8+8 cancels each other out
28+8=36
4a=36
to completely isolate the variable divide both sides by 4
4a÷4=a
36÷4=9
a=9
Answer:
The answers would be as follows:
3
3
1
1
Step-by-step explanation:
We can tell that the first two have an infinite number of solutions because when we try to solve, we get a true statement. The first one is done for you below.
-6x + 7 = -6x + 7 ------> Add 6x to both sides
7 = 7 (TRUE STATEMENT)
We can tell the next two have no solution due to the fact that they develop a false statement when trying to solve.
-3x + 7 = 3x + 7 ----> Subtract 7 from both sides
-3x = 3x ---> Divide by 3
-x = x (UNTRUE STATEMENT)
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9