Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
Select a few
x
values, and plug them into the equation to find the corresponding
y
values. The
x
values should be selected around the vertex.
Tap for more steps...
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
4
)
Focus:
(
3
,
−
15
4
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
17
4
x
y
1
0
2
−
3
3
−
4
4
−
3
5
0
Answer: <u>13,5</u> (first one)
Step-by-step explanation:According to given table for Relation g, we have following order pairs
(2,2)
(3,5)
(4,9)
(5,13)
Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.
We need to check the option, which gives an order pair of inverse relation of g.
In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.
x value goes in y place and y value goes in x place.
So, the order pairs of inverse relation of given relation of g can be written as
(2,2) --> (2,2)
(3,5) --> (5,3)
(4,9) --> (9,4)
(5,13) --> (13,5).
In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).
Therefore, correct option is first option (13,5)
ANSWER
5
EXPLANATION
We want to simplify:
when x=2.
We substitute x=2 into the absolute value expression to obtain:
The about value of 5 means what is the distance of 5 from zero on the real number line.
6 divided by 4175 is 0.00143712574
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
