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Fudgin [204]
3 years ago
13

X^2 = 6x + 27; COMPLETING THE SQUARE

Mathematics
2 answers:
serg [7]3 years ago
5 0

Answer:

Step-by-step explanation:

x^2 = 6x + 27

x^2 - 6x = 27

x^2 - 6x + 9 = 27 + 9

(x - 3)^2 = 36

x - 3 = ± √ 36

x = 3 ± 6

x = 3 + 6 = 9

x = 3 - 6 = -3

solutions are : x = -3 or x = 9

DedPeter [7]3 years ago
3 0

x^2 = 6x + 27

x^2−6x−27=0

(x−9)(x+3)=0

x=9,−3

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Every Sunday John goes to church from his home . He move 2 miles east. How much distance is between home and church
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Answer:

2 miles

Step-by-step explanation:

Because I said so

8 0
3 years ago
HELP I NEED HELP ASAP
Vaselesa [24]

Answer:

The answer is D

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3 years ago
The graph of F(x), shown below, resembles the graph of G(x)= x², but it has
NNADVOKAT [17]

The equation of the function is  F(x) = -3(x-4)² +4 , the correct answer is Option D

The missing graph is attached with the answer

<h3>What is a function ?</h3>

A function is a law that relate the independent variable and the dependent variable.

It is given that

The graph of F(x), shown below, resembles the graph of G(x)= x², but it has been changed

From the graph, it is seen that,

G(x) when shifted by -4 on the negative x axis.

and graph shifted by +4 on the positive y axis.

F(x) is scaled by a factor of -⅓ of G(x)

it is reflected across the x-axis.

So the equation of the function is

F(x) = -3(x-4)² +4

Therefore ,  the correct answer is Option D.

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8 0
2 years ago
The value of 9 in 495,123 is blank times the value of 9 in 63,129
mafiozo [28]
The answer is 90,000. 
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6 0
3 years ago
1/2−3(1/2+1)^2<br><br><br> Enter your answer, as a simplified fraction
o-na [289]

Answer:

- \frac{25}{4}

Step-by-step explanation:

\frac{1}{2} -3 (\frac{1}{2} + 1)²

Calculate sum

\frac{1}{2} -3x (\frac{3}{2})²

To raise a fraction to a power raise numerator and denominator to that power

\frac{1}{2} -3 x \frac{9}{4}

Calculate product

\frac{1}{2} - \frac{27}{4}

Subtract fractions

-\frac{25}{4}

4 0
3 years ago
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