The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.
2x - 4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9 ⇒ <u>1x + 2y + 3z = 9</u>
3x + 5z = 12 1x - 2y - 2z = 2
1x - 2y - 2z = 2
2x - 4y + 1z = 11 <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9 ⇒ 1x + 2y + 3z = 9 x - 4z = 1
3x + 5z = 12 ⇒ <u>3x + 5z = 12</u> x - 4z + 4z = 1 + 4z
-2x + 2y - 2z = -3 x = 1 + 4z
<u /> 1 + 4z - 2y - 2z = 2<u />
1 - 2y + 4z - 2z = 2
1 - 2y + 2z = 2
<u>- 1 - 1</u>
-2y + 2z = 1
-2y + 2z - 2z = 1 - 2z
<u>-2y</u> = <u>1 - 2z</u>
-2 -2
y = -0.5 + z
x + 2(-0.5 + z) - 2z = 2
x - 1 + z - 2z + 2 = 2
x - 1 + z = 2
<u> + 1 + 1</u>
x + z = 3
x - x + z = 3 - x
z = 3 - x
<u />
Answer:
$23.27
Step-by-step explanation:
yes
9514 1404 393
Answer:
(A) -2, 3/7, 1/2, 1.2
Step-by-step explanation:
The numbers are in increasing order when they are listed left-to-right as they appear on the number line.
The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.
The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.
The correct ordering is found in choice A.
We can first get the percentage of the emergency room visits that involves an injury.
6 out of 10.
This will be (6/10)×100 = 60%
So, if there are 930 emergency room visits, the expected visits <span>included a prescription for medication is;
</span>
60% of 930 = 60/100 × 930
= 0.6 ×930
= 558