Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
Answer:
35,000^10
Step-by-step explanation:
multiply 7,000 and 50 first (350,000) then erase the last 0 (35,000) then raise it to 10 (35,000^10)
Answer:
about 20.5 hours
Step-by-step explanation:
first find out how much money he earned during the week by subtracting the friday balance and the monday balance
375.75 - 83.50 = $292.25 was the amount earned during the week
divide the amount earned by the amount earned per hour
292.25 / 14.25 ≈ 20.5 hours worked that week
hope this helps <3
Answer:
First, you have to substitue 3 into x
20 - 5(3)
20 - 15
= 5
so the first one is 5
the next one we will do the same but with 4
20 - 5(4)
20 - 20
= 0
Step-by-step explanation:
