x
=
−
8
,
−
2
Explanation:
Given:
x
2
+
10
x
+
16
=
0
To complete the square put the two
x
terms on the left and the constant on the right of the equation:
x
2
+
10
x
=
−
16
Complete the square by multiplying the
x
-term by
1
2
:
1
2
⋅
10
=
5
and adding the square of this number to the right side of the equation:
5
2
=
25
(
x
+
5
)
2
=
−
16
+
25
UNDERSTANDING CHECK:
(
x
+
5
)
2
=
x
2
+
10
x
+
25
.
The
+
25
was not in the original equation. If we add
+
25
to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.
(
x
+
5
)
2
=
9
To solve, square root both sides of the equation:
√
(
x
+
5
)
2
=
±
√
9
x
+
5
=
±
3
x
=
−
5
±
3
x
=
−
5
+
3
=
−
2
,
x
=
−
5
−
3
=
−
8
x
=
−
8
,
−
2
Answer:
C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:
Answer for no.9:
144.5cm^2
Step-by-step explanation:
base of triangle = 34cm-17cm
=17cm
Area =bh/2
=17cm×17cm/2
=289cm^2/2
=144.5cm^2
Answer:
First you need to identify what the known ratio and and the unknown one
Then you need to setup the proportion.
After that cross multiply and then solve
Lastly check your answer by plugging the result into the unknown ratio and you should get your answer.
Answer:
2
Step-by-step explanation:
one bounce=10
2 bounce=5
it halves each time
