Answer:
k=42.5573 and x=0.015699
Step-by-step explanation:
Step: Solve k=35.5x+42for k:
k=35.5x+42
Step: Substitute 35.5x+42 for k in k=991x+27:
k=991x+27
35.5x+42=991x+27
35.5x+42+−991x=991x+27+−991x(Add -991x to both sides)
−955.5x+42=27
−955.5x+42+−42=27+−42(Add -42 to both sides)
−955.5x=−15
−955.5x
−955.5
=
−15
−955.5
(Divide both sides by -955.5)
x=0.015699
Step: Substitute0.015699 for x in k=35.5x+42:
k=35.5x+42
k=(35.5)(0.015699)+42
k=42.5573(Simplify both sides of the equation)
Hope this helps!
:)
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:
9514 1404 393
Answer:
10 1/16 cm
Step-by-step explanation:
The Pythagorean theorem can be used.
(8 +x)² = x² +15²
64 +16x +x² = x² +225
16x = 161
x = 161/16 = 10 1/16 = 10.0625 . . . cm
Answer:
net amount $885.98 tax at 8.5% is $75.31 gross amount is $961.29
