Answer:
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
−
3
)
2
Add the term to each side of the equation.
x
2
−
6
x
+
(
−
3
)
2
=
22
+
(
−
3
)
2
Simplify the equation.
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x
2
−
6
x
+
9
=
31
Factor the perfect trinomial square into
(
x
−
3
)
2
.
(
x
−
3
)
2
=
31
Solve the equation for
x
.
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x
=
±
√
31
+
3
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
31
+
3
Decimal Form:
x
=
8.56776436
…
,
−
2.56776436
…
Step-by-step explanation:
thats took a while lol
Answer:
-1.85 -7/8 1 3/4
Step-by-step explanation:
It is about which one is to the farest right ▶️ from 0
Answer: " m∠SRW = 95 ° " .
________________________________________________
Since m∠TRV = 95° ;
and: ∠TRV and ∠SRW are vertical angles;
and: we are given: " m∠TRV = 95° " ;
and: vertical angles are congruent;
So, m∠TRV = m∠SRW = 95° .
_______________________________________________
4x² + 43 = 120
4x² = 120 - 43
4x² = 77
x² = 77/4
x² = 19.25
x = ±√19.25
x = ±4.39
<span>
The solutions are ±4.39</span>
Answer:
Sue played 30 games
Step-by-step explanation:
Probability is typically given as a fraction or percentage where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. Since Sue's won 12 games and estimated the probability to be 0.4 or 4/10, you can set up a proportion, or equivalent ratios, to solve for the number of games she played:
Cross multiply: 4x = 120
Divide by 4: 4x/4 = 120/4
Solve for 'x': x = 30 games
