Answer:
9^2= 81, √25= 5, 21^2= 441, √4= 2, √144= 12, 16^2= 256, √625= 25, (-11)^2=121
Use the quadratic formula to find:
x
=
1
±
√
85
5
Explanation:
5
x
2
−
10
x
−
12
is of the form
a
x
2
+
b
x
+
c
with
a
=
5
,
b
=
−
10
and
c
=
−
12
This has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
(
−
10
)
2
−
(
4
×
5
×
−
12
)
=
100
+
240
=
340
=
2
2
⋅
85
This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
10
±
√
340
10
=
10
±
2
√
85
10
=
1
±
√
85
5
Answer:
Negitive
Step-by-step explanation:
Given:
Number of trips = 7
Distance from the school to the museum = 36 miles.
To find:
Write and solve equations to find how many miles the bus driver drove for the 7 trips.
Solution:
Let x be the number of trips and y be the total number of miles the bus driver drove.
Distance from the school to the museum = 36 miles.
1 trip means from the school to the museum and then from the museum to the school.
Distance covered in 1 trip = 2×36 = 72 miles.
Distance covered in x trips = 72x miles.
Substitute x=7 in the above equation to find the total distance the bus driver drove for the 7 trips.
Therefore, the bus driver drove 504 miles for the 7 trips.