Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:
The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.
Step-by-step explanation:
To solve, first solve the equation for the absolute value portion of the equation.
2|x| + 1 < 5
2|x| < 4
|x| < 2
Now since there is an absolute value around it, we have to complete it for the positive and negative versions.
x < 2 OR x > -2
Answer:
B.
• x+2y=-6
• x-2y=-6
Step-by-step explanation:
Try the solution in the equations and choose the set of equations that is true.
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A. -6+0 ≠ 0 . . . not this system
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B. -6 +2·0 = -6 . . . true
-6 -2·0 = -6 . . . true . . . . . this system has solution (-6, 0)
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C. -6 -6·0 ≠ 1 . . . not this system
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D. 4(-6)+3·0 ≠ -18 . . . not this system
The triangle is an obtuse since its greater than 90 degrees but less than 180.
WORK:
61 + 53 = 114
798 ÷ 114 = 7
ANSWER:
They will be 798 miles apart in 7 hours.
