12 = x² - x
12 - 12 = x² - x - 12
0 = x² - x - 12
x² - x - 12 = 0
x = <u>-(-1) +/- √((-1)² - 4(1)(-12))</u>
2(1)
x = <u>1 +/- √(1 + 48)</u>
2
x = <u>1 +/- √(49)
</u> 2
x = <u>1 +/- 7</u>
2
x = 0.5 +/- 3.5
x = 0.5 + 3.5 x = 0.5 - 3.5
x = 4 x = -3
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Answer:
I think the answer is A if my math is wriye
Step-by-step explanation:
Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
−
2
x
=
3
+
−
2
x
(Add -2x to both sides)
y
=
−
2
x
+
3
Step: Substitute
−
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
−
2
x
+
3
)
=
1
−
2
x
+
9
=
1
(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4
Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
+
3
y
=
−
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
−
5
Answer:
35.5 cm
Step-by-step explanation:
The perimeter (P) is calculated as
P = (2 × 6.75 ) + (2 ×
)
= 13.5 + (2 × 11) = 13.5 + 22 = 35.5 cm