Answer:
Yes they are equivalent
Step-by-step explanation:
8x + 18 + x = 9x + 18
9(2+x) = 18 + 9x = 9x + 18
Therefore, 8x + 18 + x is equivalent to 9(2+x)
Y = -1 is a horizontal line going through "-1" on the y axis
Note that the point (1,2) is exactly 3 units of distance above the line y = -1
When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1. Since we are not shifting left or right, the x coordinate of our original point will not change. The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)
The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1
Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1 Again, the x coordinate does not change, and our final image coordinates are (1, 6)
I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
Answer:
10
Step-by-step explanation:
x- intercept is where the equation intersect the x-axis. So, at x-axis y = 0
2x + 4*0 = 20
2x = 20
Divide both sides by 2
2x /2 = 20/2
x = 10
<span>Three- toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down.
A three-toes sloth usually sleeps 101 hours per week.
Since the baby sloth clings to its mum for 36 weeks and we know that it sleeps 101 hours per week, therefore, we can simply calculate the duration of its sleep as follows:
duration of baby sloth's sleep in 36 weeks = 36 x 101 = 3636 hours</span>
4 quarts=1 gallon
1 liter is slightly bigger than 1 quart
so
1L>1qt
times 4 both sides
4L>4qt=1gal
4L>1gal
4 liters is bigger
