Answer:
a = 2
Step-by-step explanation:
If M is the midpoint, 1/2 of FG = FM since FG is the whole length.
FG = 14a + 1
1/2 FG = 1/2(14a + 1)
1/2 FG = 7a + 1/2
The length of the segment FM = 14.5 and that is the same length as 1/2 FG
7a + 1/2 = 14.5
1/2 = 0.5
7a + 0.5 = 14.5 Subtract 0.5 from both sides
7a = 14.5 - 0.5
7a = 14 Divide by 7
a = 14/7
a = 2
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:
$120 - A
Step-by-step explanation:
20% of 120 is 20.
120-20 + 100
