Answer:
y≥-4 or (-4,∞)
Step-by-step explanation:
Answer:
0.875 is equivalent to 7/8
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75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3
The final answer is x ≥ 4 1/3~
Answer: 7
Step-by-step explanation:
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
