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Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Answer:
Annika was 14 days late with her book.
Step-by-step explanation:
The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.
4.00 - 1.00 = 3.00
3.00/0.30 = 10
Therefore, Annika was 4 +10 = 14 days late with her book.
Answer:
Step-by-step explanation:
- <em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
- <em>A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.</em>
Point J is midpoint of side HI as HJ = JI
Point K is midpoint of side GI as GK = KI
JK is midsegment as connects the midpoints of the sides
JK = 1/2HG as per property of midsegment
- 6x - 4 = 10x/2
- 6x - 4 = 5x
- 6x - 5x = 4
- x = 4
JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m
Answer: The first one is 2 2/3 and the second one is 10 1/2
Step-by-step explanation: So 2/3 divided by 1/4. First you would do keep, change, flip. Then that would give you 2/3 times 4/1. 2/3 times 4/1 would be 8/3 which can be simplified to 2 2/3. The second one 7 divided by 2/3. Again do keep, change, flip. 7 times 3/2. This would give you 21/2 when you simplify you get 10 1/2.
