Answer:
Step-by-step explanation:
Slope of line through (0,-1) and (1,2) = (-1 - 2)/(0 - 1) = 3
Point-slope equation for line of slope 3 that passes through (0,-1):
y+1 = 3(x-0)
When x = 2:
y+1 = 3(2-0)
y = 3·2 - 1 = 5
When x = 3:
y+1 = 3(3-0)
y = 3·3-1 = 8
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
<h3>How to graph the set on a number line?</h3>
The set is given as:
(1, ∞) ∩ (−10, ∞)
The above means that the numbers inclusive in the set are numbers between the following set:
- (1, ∞): All real numbers greater than 1
- (−10, ∞): All real numbers greater than -10
The intersection of the above set is (1, ∞)
This means that the set (1, ∞) ∩ (−10, ∞) is a set of all real numbers greater than 1
Having done the above illustration, next we plot the set on a number line
See attachment for the graph of the set (1, ∞) ∩ (−10, ∞)
Read more about number lines at:
brainly.com/question/24644930
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Answer:
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent
Step-by-step explanation:
<em>The parallelogram has the following properties:</em>
- <em>Opposite sides are parallel by definition.</em>
- <em>Opposite sides are congruent.</em>
- <em>Opposite angles are congruent.</em>
- <em>Consecutive angles are supplementary.</em>
- <em>The diagonals bisect each other.</em>
A. The figure is a parallelogram because there are two pairs of congruent sides.
- no
B. The figure is a parallelogram because a diagonal is bisected.
- no
C. The figure is not necessarily a parallelogram because the diagonals are not congruent.
-no
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.
-yes