Step-by-step explanation:
Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the intercept
Rewrite the equation given
y-1 = 1(x+2)
y-1 = x+2
y = x+2+1
y = x+3
Comparing to the standard form, the slope m = 1.
For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1
Substitute
1(M) = -1
M = -1
For us to know the line that is perpendicular to the given line, its slope must be -1.
<em>Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).</em>
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Answer: B. 
Step-by-step explanation:
1. By definition, the associative property of addition is:
2. Therefore, if you have the following expression:
You apply the Asociative property of addition by regrouping the numbers as following:
3. Then, you can conclude that the correct option is B.
Answer:
x=1
Step-by-step explanation:
Look at the bottom of the triangle you will see that 1 = x
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
