Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
Answer:
y= -6x+23
Step-by-step explanation:
perpendicular: opposite signs and reciprocal
m= 1/6 and y-intercept = 23
y= -6x+23
Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base = 
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=
Answer:
y=-5x+12
Step-by-step explanation:
just use a graphing calculator and basic knowledge of slope intercept form
Advertising is x and revenue is y
(0,2)(2,6)
slope = (6 - 2) / (2 - 0) = 4/2 = 2
y = mx + b
slope(m) = 2
(0,2)...x = 0 and y = 2
now we sub and find b, the y int
2 = 2(0) + b
2 = b
so ur equation is : y = 2x + 2
spends 10 mill on advertising.....so x = 10
y = 2x + 2
y = 2(10) + 2
y = 20 + 2
y = 22.....so the revenue (y) of the company is 22 (million)