Answer:
LCM :
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
Meanwhile
4 x 1 = 4
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
The LCM of 6 and 4 is 12
HCF:
36 : 1,2,3,4,6,9,12,36
24 : 1,2,3,4,6,8,12,24
HCF of 36 and 24 is 12
So therefore Hussein is correct because both the LCM and HCF is 12
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
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units
