Answer:
ANSWER IS BELOW
Step-by-step explanation:
Find the properties of the given parabola.
Tap for more steps...
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
Select a few
x
x
values, and plug them into the equation to find the corresponding
y
y
values. The
x
x
values should be selected around the vertex.
Tap for more steps...
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
0
,
0
)
(0,0)
Focus:
(
0
,
3
4
)
(0,34)
Axis of Symmetry:
x
=
0
x=0
Directrix:
y
=
−
3
4
y=-34
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
xy-243-1130011333
Answer:
14x
2
+9
Step-by-step explanation:
Answer:
16.
How to find... ↓
The small triangle is 1/3 size of the big triangle.
If this is the case, find the LCF here, 4, and multiply each angle's value by the least common factor, 4.
3 x 4 (bottom) = 12
5 x 4 (right side) = 20
4 x 4 (left side <em>the missing side) </em>= 16
Therefore,
The missing side value, <em>x</em>, is 16.
Answer is 174 ft2.
Area of triangle: 24 ft2
First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft
Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2
Secondly, find the area of the rectangle.
10 x 15 = 150 ft2
Then add up the area of the triangle and rectangle.
150+24= 174 ft2
Answer:
1. 20
2. 23
3. 6
Step-by-step explanation:
We have that:
f(x) = 2x
g(x) = x² + 1
f(g(x)) is the composite function of f and g. So
f(g(x)) = f(x²-1) = 2(x²+1) = 2x² + 2
1. f(g(3))
f(g(x)) = 2x² - 2 = 2(3)² + 2 = 18 + 2 = 20
2. f(3)+g(4)
f(3) = 2(3) = 6
g(4) = 4² + 1 = 17
f(3) + g(4) = 6 + 17 = 23
3. f(5) - 2g(1)
f(5) = 2(5) = 10
g(1) = (1)² + 1 = 2
f(5) - 2g(1) = 10 - 2*2 = 10 - 4 = 6
