Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include
1 answer:
Yes it does include the test point (0, 0)
- equation: y > -3x -5
- y > -3(0) -5
- y > -5
- y > -3x -5
<u>switch sides</u>
- -3x - 5 < 0
- -3x < 5
<u>Multiply both sides by -1 reverses the inequality</u>
- x > -5/3
Thus, the following (0, 0) comes under the following x > -5/3 and y > -5
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Answer:
C. 92 degrees
Step-by-step explanation:
Given that the 92° which is one of the angles of the quadrilateral WXYZ
The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.
The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.
So,
By using the given value,
92°
Hence, option (C) is correct.
Answer:
Step-by-step explanation:
Given,
Principal ( P ) = $ 6000
Amount ( A ) = $ 14550
Time ( T ) = 10 years
Rate ( R ) = ?
<u>Finding </u><u>the </u><u>Interest</u>
The sum of principal and interest is called an amount.
From the definition,
plug the values
⇒
Swap the sides of the equation
⇒
Move 6000 to right hand side and change its sign
⇒
Subtract 6000 from 14550
⇒
Interest = $ 8550
<u>Finding </u><u>the </u><u>rate </u>
plug the values
⇒
Calculate
⇒
⇒
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