Answer:
(- ∞, - 4 ] ∪ [7, + ∞ )
Step-by-step explanation:
Determine the zeros by equating to zero, that is
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
The zeros divide the domain into 3 intervals
(- ∞ , - 4 ], [ - 4, 7 ], [ 7, + ∞)
Choose a test point in each interval and compare value with required solution
x = - 5 : (- 5)² - 3(- 5) - 28 = 25 + 15 - 28 = 12 > 0
x = 0 : 0 - 0 - 28 = - 28 < 0
x = 10 : 10² - 3(10) - 28 = 100 - 30 - 28 = 42 > 0
Solutions are the first and third interval, that is
x ∈ (- ∞, - 4 ] ∪ [ - 7, + ∞)
Yes as long as the length remained the same each time
The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.
<h3>Steps in constructing perpendicular lines</h3>
- Place your compass on the given point
- Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc
- From each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.
- Use your ruler to join the given point to the point where the arcs intersect.
- Use your compass and ruler to draw a perpendicular line from each given point to the line segment
From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect
Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.
Learn more about construction here:
brainly.com/question/27164219
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Answer:
I think the answer is right.isn't The rectangle width 8 and length 11 inches
1560 bc 300 divided by 5 equals 60 and 60 times 26 equals 1560
