Answer: Last option
The number -8.4 is a solution to the inequality because -8.4 is located to the left of on the number line.
Step-by-step explanation:
Note that:
The inequality is:
The inequality is:
This means that the inequality includes all values of the number line that are less than -3.25 or that are to the left of -3.25
__-8.4_________-3.25_-3____0___0.9____________7.1__
Note that the number -8.4 is less than -3.25, because it is to its left on the number line.
Then the correct statement is:
The number -8.4 is a solution to the inequality because -8.4 is located to the left of on the number line.
Answer:
Step-by-step explanation:
Equation of the line CD is given as
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by
But this line passes through (4,5)
Substituting the values in the equation:
=>
So the overall equation of the parallel line is given by
Answer:
(a) and (b) are correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Select the correct options
A clock is divided into two equal parts.
(1) 1 - 6
(2) 7 - 12
<em>When the hour hand is on (1), then the time is "after"</em>
<em>When the hour hand is on (2), then the time is "before"</em>
<em />
From the attached clock, we have:
(1) The hour hand on 9
(2) The minute hand 1 unit above 9 i.e. 46 minutes
(1) implies that, the time is before 9 i.e. past 8
(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8
In (1) and (2) above, we have two interpretations.
1: (60 - 46) minutes before 9
This gives:
14 minutes before 9
2: 46 minutes past 8
i.e. 8 : 46
In the elimination method one variable is eliminated from the system of equation to find the value of other.
The first equation must be multiplied by 18 and second equation must be multiplied by 8.
<h3>What is elimination method?</h3>
To solve the system of equation and find the value of the variables, the elimination method is used.
In this method one variable is eliminated from the system of equation to find the value of other.
Given information-
The system of equation given in the problem is,
......1
Let the above equation as equation 1.
The second equation given in the problem is,
......2
Let the above equation as equation 2.
To eliminate the y term, make the coefficient of <em>y</em> of both the equation equal.
As the coefficient of <em>y</em> of the equation 2 is 3/8. Thus multiply second equation with 8 to eliminate coefficient. Thus,
.....3
Multiply equation 1 with 18 to make the coefficient of y equal. Thus,
......4
Add equation 3 and equation 4 as,
Hence the first equation must be multiplied by 18 and second equation must be multiplied by 8.
Learn more about the elimination method here;