Answer:
circumference of circle = 2π×r
here r = 7
so 2 ×22÷7 × 7
= 2×22
= 44
therefore the circumference is 44 inches
Answer:
B, C, E, F
Step-by-step explanation:
x^2 >= 49
A. 6: 6^2 = 36 No
B. 20: 20^2 = 400 Yes
C. -7: (-7)^2 = 49 Yes
D. -5: (-5)^2 = 25 No
E. -16: (-16)^2 = 256 Yes
F. 7: 7^2 = 49 Yes
Answer:
11
Step-by-step explanation:
(2×3)^2 = 6^2 = 36
5^2 = 25
(2×3)^2 - 5^2 = 36 - 25 = 11
Below are suppose the be the questions:
a. factor the equation
<span>b. graph the parabola </span>
<span>c. identify the vertex minimum or maximum of the parabola </span>
<span>d. solve the equation using the quadratic formula
</span>
below are the answers:
Vertex form is most helpful for all of these tasks.
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>
<span>a) Factor: </span>
<span>.. (x -h +√(-k/a)) * (x -h -√(-k/a)) </span>
<span>b) Graph: </span>
<span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>
<span>c) Vertex and Extreme: </span>
<span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>
<span>d) Solutions: </span>
<span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span>
<span>.. x = h ± √(-k/a)</span>
Answer:
A, C, D and K
Step-by-step explanation:
First, plot the solution set to the system of two inequalities.
The inequality 
determines solid line and bottom shaded region under this line.
The inequality 
determines dotted line and top shaded region under this line.
The intersection of these two regions is the solution set to the system of two inequalities.
Points A, C, D and K belong to this region.
