Answer:
1. false
2. false
3. true
Step-by-step explanation:
1. If the value of a was negative, then the graph of the quadratic would open downwards because the negative sign would induce a reflection of the graph over the x-axis.
However, we can see from the graph that the quadratic opens up, so a is not negative and this statement is false.
2. The vertex of a quadratic equation is the minimum or maximum point. Here, since the graph points up, the vertex will be the minimum point. That point is actually (3, -1). Clearly, this is not (-1, 3), so the statement is false.
3. The axis of symmetry is essentially the line with the x-value of the vertex. Since the x-coordinate of the vertex is 3, that means the axis of symmetry is the line x = 3. Thus, the statement is true.
Answer:
745 k/hr
Step-by-step explanation:
mathematically, 1 day = 24 hours
1670 days = 1670 * 24 = 40,080 hours
The speed is thus;
(29,870,000)/40,080 = 745.259
= 745 km/h
Answer:
x = ± 1
Step-by-step explanation:
Given
3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )
3(x² - 4) = - 9 ( divide both sides by 3 )
x² - 4 = - 3 ( add 4 to both sides )
x² = 1 ( take the square root of both sides )
x² = ± 
= ± 1
Thus
x = - 1, x = 1
The coordinates of other endpoint S is (3, 2)
<h3><u>Solution:</u></h3>
Given that midpoint of RS is M
Given endpoint R(23, 14) and midpoint M(13, 8)
To find: coordinates of the other endpoint S
<em><u>The formula for midpoint is given as:</u></em>
For a line containing containing two points 
and 
midpoint is given as:
Here in this problem,
m(x, y) = (13, 8)
Substituting the given values in above formula, we get
Comparing both the sides we get,
Thus the coordinates of other endpoint S is (3, 2)
The answer to the question is b
