Answer:
c. 18 units
Step-by-step explanation:
Points F and K are 3 units apart. (Both are on the horizontal line at y=2, so the segment length is the difference of x-coordinates: 4 -1 = 3.)
Points F and K are adjacent vertices of the hexagon, so the perimeter will be 6 times the length of KF: 6·(3 unit) = 18 units.
Answer:
Option B: Only (-2, 9)
Step-by-step explanation:
Given the linear equation, y = -2x + 5:
We'll plug in the given options to see which of the ordered pairs will satisfy the equation:
Substitute option A: (2, -9) into the equation:
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1 (False statement). Therefore, (2, -9) is not a solution.
Substitute option B: (-2, 9) into the equation:
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.
The other two options are irrelevant at this point since we've proven that option B is the correct answer.
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First, you find 5% of $50.
To do this, you times 50 by 0.05. This is because if you were to turn 5% into a decimal, with 1.0 being 100%, 5% would become 0.05.
50 x 0.05 = 2.5
After you have the amount, simply add it onto the original $50.
50 + 2.5 = 52.5
The new price is $52.5.
Answer:
10.5 cm
Step-by-step explanation:
area of parallelogram = Bh
12 x 7 = AB x 8
AB = 12x7 / 8 = 21/2 = 10.5
Since there are 4 cups in a quart, then this is 12 cups.