Step-by-step explanation:
34 + 9 = 43
43 + 9 = 52
52 + 9 = 61
so next 3 numbers in the given sequence are 43 , 52 and 61
M < 1 = m < 1 -- reflexive ( or identity) property of equality
if m <ABC = m < XYZ, then 5 * m<ABC = 5 * m<XYZ -- multiplication property of equality
Answer:

Step-by-step explanation:
Given
See attachment
To answer this question, we start by equating the denominators of each option to 0; then, solve for x
(a):

This gives

Set the denominator to 0

Solve for x

Factorize:


This implies that:

From above, one of the values of x is 7.
This implies that x = 7 is an excluded value for this quotient.
<em>Other options do not need to be checked, since there is only one answer.</em>
Answer:
<em>Proved below</em>
Step-by-step explanation:
<u>System of Equations</u>
There are several ways to solve a system of linear equations. One of the most-used is the method of elimination which consists in adding two or more equations to eliminate one or more variables.
The system shown in the question has evidently no solutions because we have the same variables related in the exact same way in the left side of both equations and a different number as a result of those operations.
To prove the statement, let's multiply the first equation by -1

Adding both equations:

This false result comes from the fact that we tried to solve a system with no solutions. The only way we could have solved it is that both right sides had been equal
1 hour equals 70 miles so 70 times 4 equals 280 and half of 70 is 35 since you traveled 4.5 hours and 280+35 equals 315