Answer: the vertex is (12,−144)
Step-by-step explanation:
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form 
, where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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brainly.com/question/3569195
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