Answer:
- no real solutions
- 2 complex solutions
Step-by-step explanation:
The equation can be rearranged to vertex form:
x^2 -4x = -5 . . . . . . . . . subtract 4x
x^2 -4x +4 = -5 +4 . . . . add 4
(x -2)^2 = -1 . . . . . . . . . show the left side as a square
x -2 = ±√-1 = ±i . . . . . . take the square root; the right side is imaginary
x = 2 ± i . . . . . . . . . . . . . add 2. These are the complex solutions.
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<em>Comment on the question</em>
Every 2nd degree polynomial equation has two solutions. They may be real, complex, or (real and) identical. That is, there may be 0, 1, or 2 real solutions. This equation has 0 real solutions, because they are both complex.
Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
q : All vertical angles are congruent.
r: 4x = 36, then x = 9.
Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".
Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>
Answer:
x = 4
Step-by-step explanation:
The given equation is as follows :
4(3x - 6) = 24
If we want to solve the above equation, the steps are:
Using distributive property first as:
4(3x)-4(6)=24
12x-24=24
Adding 24 both sides,
12x-24+24=24+24
12x=48
x=4
So, the value of x = 4. All given steps are correct.
Answer:
62
Step-by-step explanation:
1. Divide the shape into 3 individual shapes.
2. To get the area you must multiply the width and the length.
3. Let's gather the width and the length of each shape.
Shape 1: 7 and 8
Shape 2: 2 and 3
Shape 3: 2 and 3
4. For Shape 1: 7 times 8 is 56.
5. Shape 2 and Shape 3 are equal to each other.
6. For Shape 2 + Shape 3: 2 times 3 is 6
7. Now you must add the area of all the shapes together.
Area of Shape 1: 56
Area of Shape 2: 3
Area of Shape 3: 3
8. 56 + 3 + 3 = 62
This means the area of the shape is 62.
There is 1000 meters in one kilometer
so 2.6 in meters is 2600 so
2600+475= 3075
its 3075 meters divide by 1000 to equal
3.075 kilometers
hope it helps
