The midpoint would be -8 because it is 2 away from both ends.
Answer:
k > 12
Step-by-step explanation:
If a quadratic equation has no real roots the values of b^2 - 4ac
( for the general form ax^2 + bx + c = 0) is negative,
So we have the inequality:
(-12)^2 - 4*3* k < 0
144 - 12k < 0
12k > 144
k > 12
Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
Answer: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
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