Answer:
402.123859659
Step-by-step explanation:
first we use A=πr2
this gives us A = 16π
Then multiply by 8 to get 128π
128π = 402.123859659
You will get $2.03 back in change
Wow. 16,000 a month? Where does he work? Can I come intern?
But anyways, 1/4 of $16000 is $4000 so he has $12,000 left. 3/10 of $12000 is $3600 so he has $8400 left. 5/21 of $8400 is $2000 so therefore he has $6400 left.
Answer:
(4,-2)
Step-by-step explanation:
If we are reflecting a point across the y-axis, that point must be on the same horizontal line that the pre-mage is was, this means the y coordinate must remain the same. Now we want the points on both sides of the y-axis to have the same distance. x and -x have the same distance from 0. This means you will need to take the opposite of x.
So a point (x,y) being reflected over the y-axis will give (-x,y).
( x , y)->(-x,y) means we have:
(-4,-2 )->(4,-2)
You can graph this to confirm it looks like a reflection through the y-axis.
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
