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natulia [17]
3 years ago
15

Factor completely...................

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

Final answer is A. 9(3x+1)(3x-2).

Step-by-step explanation:

Given expression is 81x^2-27x-18.

81x^2-27x-18

=9(9x^2-3x-2)

We can factor that by splitting middle term into two parts then do grouping as shown below:

=9(9x^2-6x+3x-2)

=9(3x(3x-2)+1(3x-2))

=9(3x+1)(3x-2)

Which correctly matches with choice A. 9(3x+1)(3x-2).

Hence final answer is A. 9(3x+1)(3x-2).

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What is the length of chord XY
Sergeeva-Olga [200]

Answer:

|XY|=18cm

Step-by-step explanation:

Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.


Let d be the length of half of the chord. See diagram in attachment.


Then from Pythagoras Theorem,

d^2+12^2=15^2


\Rightarrow d^2+144=225


\Rightarrow d^2=225-144


\Rightarrow d^2=81

We take the positive square root of both sides to obtain,

d=\sqrt{81}=9


The length of the chord is

2d=2(9)=18cm

The correct answer is A

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Answer:

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What is the inverse of the function f(x) = 2x + 1?
soldier1979 [14.2K]

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

f(x)=2x+1

y=f(x)

y=2x+1

Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

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PLS HELP LAST DAY OF APEX a.graph this system of inequalities y&lt;-x+4 y&gt;-x-2 b. How many solutions does this system of ineq
Ede4ka [16]

Answer:

Part ) The graph in the attached figure

Part b) The system has infinitely solutions

Step-by-step explanation:

Part a) Graph this system of inequalities

we have

y < -x+4 -----> inequality A

The solution of the inequality A is the shaded area below the dotted line

y=-x+4

The y-intercept of the dotted line is the point (0,4)

The x-intercept of the dotted line is the point (4,0)

The slope of the dotted line is negative (m=-1)

y > -x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dotted line

y=-x-2

The y-intercept of the dotted line is the point (0,-2)

The x-intercept of the dotted line is the point (-2,0)

The slope of the dotted line is negative (m=-1)

using a graphing tool

The graph in the attached figure

Part b)  How many solutions does this system of inequalities have?

we know that

The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)

therefore

The system has infinitely solutions

4 0
3 years ago
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