Start at (-3,9). The increase in x from this point to the midpoint (3,3) is 6. Add 6 to the x-coordinate of (3,3), obtaining 9, which is the x-coordinate of the other endpoint of the line segment.
Next, notice that y decreases by 6 from 9 to 3 as we travel from (-3,9) to (3,3). Decrease y again by 6: 3 less 6 is -3. So the y-coordinate of the other endpoint is -3.
Thus, the coordinates of the other endpoint are (9, -3).
Let's check whether this is correct or not. According to the midpoint formula, e find the x-coordinate of the midpoint by summing up the endpoint x values and dividing this sum by 2: (-3+9)/2 = 3. This agrees with the given midpoint (3,3).
Answer:
a) 25/35
b) 30/42
Step-by-step explanation:
a)
Variable x = denominator if numerator is 25
5/7 = 25/x
5 × x = 7 × 25
5x = 175
x = 35
b)
Variable y = numerator if denominator is 42
5/7 = y/42
5 × 42 = 7 × y
210 = 7y
30 = y
Answer:
<u>$916.50
</u>
<u>
</u>
<u>$3,783.50</u>
explanation:
<u>down payment:
</u>
<u>
</u>
<u>4700 x .195 = $916.50
</u>
<u>
</u>
<u>still owed:
</u>
<u>
</u>
<u>4700 - 916.5 = $3,783.50</u>
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz