What type of system of linear equations is this? y = –5x – 4
y=1/2x+3
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A. consistent and independent
B. consistent and dependent
C. inconsistent
D. independent and inconsistent
(this is all the ino the question gives me, there's no graph or anything)
Answers
y = 1/2x + 3...slope = 1/2 and y int = 3
if the slopes and the y intercepts are different, then there is 1 solution making this independent and consistent
Answer:
Option A is correct.
Step-by-step explanation:
y =-5x -4
y=x+3
As we know that slope intercept form of line is y =mx+b
where m = slope and b = Y intercept.
on comparing the equations given with standard equation ,we get
for first equation ; slope = 5 and Y intercept = -4
for Second equation; slope =
And we know that if slope and Y intercept of two equations are distinct
then solution is consistent and independent .
Here we can see that slope and intercept of both equations are different
therefore system of equations is consistent and independent.
option A is correct.
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• l = s + 4
• l = 3s
• l = 3s + 4
• l = 4s + 3
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Answer:
Step-by-step explanation:
10 miles divided by 2.5 hours is 4 miles per hour.
10/2.5 = 4
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Final answer:
To find the number of strings of lights needed for the square patio, divide the perimeter of the square by the length of each string of lights. Round up to the nearest whole number.
Explanation:
To find the number of strings of lights needed, we need to divide the perimeter of the square patio by the length of each string of lights. Since the patio is a square, all sides are equal in length. To find the side length, we can take the square root of the area.
In this case, the area is 225m², so the side length of the square patio is √225m = 15m. The perimeter of the square is 4 times the side length, which is 4 × 15m = 60m. Dividing the perimeter by the length of each string of lights, we get 60m ÷ 25m = 2.4. Since we can't have a fraction of a string of lights, we round up to the nearest whole number. Therefore, 3 strings of lights are needed.
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Answers
= 5 : 3 ( divided both numbers by 3 )
hence, 5 : 3 is the simplest form of 75 : 45
Or you can write it in the fraction form = 5 / 3