Answer:
Step-by-step explanation:
According to Angles of intersecting chords theorem:
∠GAJ = 
Where ∠GAJ = 50 , BD = 24 and GJ = ?
50 = 
Multiplying both sides by 2
100 = 24 + GJ
GJ = 100-24
GJ = 76 degrees
Answer:
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x and y be length and width of rectangle.
Perimeter=2(x+y)
area=xy
2(x+y)=1/2 xy
4(x+y)=xy
4x+4y=xy
x y-4y=4 x
y(x-4)=4 x
Answer:
A number is a mathematical object used to count, measure and also label. The original examples are the natural numbers 1, 2, 3, 4 and so forth. A notational symbol that represents a number is called a numeral.
Answer:
Please check the explanation.
Step-by-step explanation:
Given
a)
f(x) + g(x) = (2x - 1) + (2 - x)
= 2x -1 + 2 - x
= x + 1
b)
f(x) - g(x) = (2x - 1) - (2 - x)
= 2x - 1 - 2 + x
= 3x - 3
c)
g(-5) - f(-5)
Putting x = -5 in g(x) = 2 - x
g(x) = 2 - x
g(-5) = 2 - (-5) = 2+5 = 7
Putting x = -5 in f(x) = 2x - 1
f(x) = 2x - 1
f(-5) = 2(-5) - 1
= -10 - 1
= -11
Thus,
g(-5) - f(-5) = 7 - (-11) = 7+11 = 18
d)
f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2
e)
f(g(x)) = f(2-x)
= 2(2-x)-1
= 4-2x-1
= 3-2x
