Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
Complete question is;
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units.
Find the total surface area of the rectangular prism attached.
Answer:
72 cm²
Step-by-step explanation:
From the rectangular prism attached, we can see that it has 6 sides.
Now, each side has a mirrored part which is of same dimensions with it.
Thus, unfolding to get a net, we have;
2 faces with dimension: 3cm × 6cm
2 faces with dimension: 2cm × 6 cm
2 faces with dimension: 2cm × 3cm
Thus,total surface area is;
2(3cm × 6cm) + 2(2cm × 6cm) + 2(2cm × 3cm) = 36 + 24 + 12 = 72 cm²
Anytime you want to show a fraction as a picture, the rule is as follows:
The numerator -- The number of things you want after you divide
The denominator - How many ways you want to divide.
Let's assume you have three PAYDAY candy bars. (I choose this because it's a six letter word - you can use whatever candy bar or food you wish.) We can divide the candy bars into six equal pieces. So the first candy bar is divided like below:
P - first part
A - second part
Y - third part
D - fourth part
A - fifth part
Y - sixth part
Now we can repeat the process for the other two candy bars. To keep things straight, I'll add a number to the pieces - 1, 2, 3 for the first, second, and third bar. Why 3? First, 18/6 simplifies to 3/1. That means there are three whole candy bars. Second, I chose a six letter candy bar because of the original number and 6 * 3 = 18. Our three candy bars (read it top down) look like the one above, and as such:
P1
A1
Y1
D1
A1
Y1
P2
A2
Y2
D2
A2
Y2
P3
A3
Y3
D3
A3
Y3
Answer:
Second choice: <span>It is possible for an obtuse angle to have both a complement and a supplement.
</span>
Explanation:
Let's examine the given choices:
First choice:
<span>It is possible for angles to be both vertical and complementary.
Vertical angles are equal angles.
Complementary angles means that the two angles add up to 90 degrees.
Two angles can be both vertical and complementary if the measure of each is 45. By this, the two angles are equal and their summation is 90 degrees.
Therefore, this statement is correct
Second choice:
</span><span>It is possible for an obtuse angle to have both a complement and a supplement.
</span>Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an obtuse angle is greater than 90, therefore, it cannot have a complement.
Therefore, this statement is not correct
Third choice:
<span>It is possible for an acute angle to have both a complement and a supplement.
</span>Complement angles means that their sum is 90 degrees.
Supplement angles means that their sum is 180 degrees.
Since the measure of an acute angle is less than 90, therefore, it can have both a complement and a supplement.
Therefore, this statement is correct
Fourth choice:
<span>It is possible for angles to be both congruent and supplementary
</span>Congruent angles means that they are equal
Supplement angles means that they add up to 180 degrees.
Two angles can be both congruent and supplement if the measure of each is 90. By this, the two angles are equal and their summation is 180 degrees.
Therefore, this statement is correct
Based on the above, the only incorrect statement is the second choice.
Hope this helps :)
