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Airida [17]
3 years ago
5

Parallel to y=2/3x+4 and goes through (-9,-2)

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
8 0
Hey there :)

y = \frac{2}{3}x + 4

Since this line is parallel to the line to be found, both have the same slope: \frac{2}{3}

Coordinates: ( - 9 , - 2 )

y - ( -2 ) = \frac{2}{3} ( x - ( -9 ) )
y + 2 = \frac{2}{3} x + 6
y = \frac{2}{3} x + 6 - 2

y = \frac{2}{3}x + 4


alukav5142 [94]3 years ago
6 0
Hi there! The answer is y = 2/3x + 4

When the line we are looking for is parallel to y = 2/3x + 4, the slope is the same as in the line mentioned before. Hence, we get the following formula:
y =  \frac{2}{3}x + b

In this equation, b represents a number. Since the line passes through the point (-9, -2) we can plug in the coordinates into the formula. Then we get the following:
\frac{2}{3} * -9 + b = -2
-6 + b = -2

Now we add 6 to both sides of the equation
b = 4

We've now found our answer, the formula of the line, which is:
y = 2/3x + 4
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Step-by-step explanation:

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5 0
4 years ago
Read 2 more answers
If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or
Alchen [17]

Answer:

\dfrac{7}{6}

Step-by-step explanation:

Let \dfrac{a}{b} be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

\dfrac{a+6}{b}=\dfrac{a}{b}+1

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

\dfrac{a}{b+36}=\dfrac{a}{b}-1

Add these two equalities:

\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36

Substitute it into the first equation:

\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6

Thus, the initial fraction was

\dfrac{7}{6}

6 0
4 years ago
5(y -2)+3(4 -y)<br> Show and explain work <br> (Distributive property)
NikAS [45]

Answer:

Step-by-step explanation:

5 ( y - 2 ) + 3 ( 4 - y )

multiply 5 by both y and -2

5y - 10 + 3 ( 4 - y )

multiply 3 by by both 4 and -y

5y - 10 + 12 - y

hope this helps

7 0
4 years ago
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