Answer:
2
Step-by-step explanation:
Because 3-1 is 2 and 1/4-1/4=0
So 2
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Arranging the given distances from sea level on the number line, we have;
- The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.
<h3>How can the number line be used to find the distance from the sea level?</h3>
The given elevation of the lowest points in the six countries are;
Country. Lowest point elevation (m)
China. →. -154
Egypt →. -133
Azerbaijan → -28
Serbia. →. 35
Israel. → -408
Laos. →. 70
Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;
Israel → -408
China → -154
Egypt → -133
Azerbaijan → -28
Serbia. → 35
Laos. →. 70
On a number line, we have;
Israel < China < Egypt < Azerbaijan < Serbia < Laos
Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.
However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).
The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.
Learn more about the number line here:
brainly.com/question/4727909
#SPJ1
<h2>
The required poynomial equation is
.</h2>
Step-by-step explanation:
Given,
The zeros of the polynomial are - 4, - 2, 1 and 4
To find, the polynomial equation = ?
We know that,
The polynomial equation = (x - A)(x - B)(x - C)(x - D)
= (x + 4)(x + 2)(x - 1)(x - 4)
= [(x + 4)(x - 4)] [(x + 2)(x - 1)]
= (
)(
)
= (
)(
)
= 
= 
Thus, the required poynomial equation is
.
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.