Answer: y=(-1/4)x -3
Step-by-step explanation:
Which of the following lines is parallel to the line y=(-1/4)x+5
Two lines are parallel to each other if they have the same slope,
Slope of line 1 = slope of line 2
Looking at y=(-1/4)x+5,
we will compare it with the slope-intercept equation, y= mx+c
Slope of y=(-1/4)x+5 = -1/4
Now let's examine the options to see the one such that has the same value with our slope , -1/4
1) y=4x+7
From this equation, slope = 4
4 × -1/4= -1
This means lines (-1/4)x+5 and y=4x+7 are not parallel to each other since their slopes are unequal
2)y=-4x-5, slope = -4
This means lines (-1/4)x+5 and y=4x-5 are not parallel to each other since their slopes are unequal.
3)y=(-1/4)x-3
slope = -1/4
This means lines (-1/4)x+5 and y= (-1/4)x-3 are parallel to each other since their slopes are equal. This means equations y=(-1/4)x-3 and y=(-1/4)x+5
are parallel.
In conclusion, line y=(-1/4)x-3 is parallel to y=(-1/4)x+5
Answer:
25 yards
Step-by-step explanation:
A parallelogram is a quadrilateral (a four sided object) with parallel sides
Some of the characteristics of a parallelogram includes :
- Opposite sides and angles are congruent .
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- The diagonals bisect each other
Area of a parallelogram = base x height
Area = 525
base = 21 yards
height = ?
525 = 21 x height
divide both sides of the equation by 21 to find the value of the height
525 / 21 = height
height = 25 yards
Answer:
mary=x
andrew=8
jim=2*8=16
together=4*mary
total=8+16=24
24/4=x
x=6
Step-by-step explanation:
Show expanded form in 3,192
Answer:
There are 1,892,800,000 different standard plates that are possible in this system
Step-by-step explanation:
The plates follow the following format:
D - D - L - L - L - D - D - D
For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.
So, there are
10*10*26*26*28*10*10*10 = 1,892,800,000
different standard plates that are possible in this system
