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geniusboy [140]
3 years ago
15

Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

Answer:

y = -x - 2

Step-by-step explanation:

Note that the given line, y=-x+3, has a slope of -1.  Any new line parallel to this one must also have that slope, -1:

y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:

3 = 5 + C, or C = -2

Thus, the desired equation of this new line is y = -x - 2

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Jennie has 7 tickets for carnival rides. The Ferris wheel costs 4 tickets, The roller coaster costs 6 tickets. the merry-go-roun
algol13

Answer: 6

Step-by-step explanation:

7 - 3 = 4

3 - 4 = 0

0 - 6 = -6

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
3 years ago
What's the range of the function y= -2(2)^x+2
Aleksandr [31]

Answer:

Step-by-step explanation:

Simply substitute the x and y values into the equation, Infinity is a number that gets closer & closer to zero and the y-intercept is always 2.  

Infinity is a number that gets closer & closer to zero and the y-intercept is always 2.  

y=-2(2)(-infity)+2

y=2

4 0
3 years ago
Write 16 3/5 as a decimal
zhuklara [117]
16.6 is the answer. 16 is the whole number so u just divide 3 and 5 and get .6
3 0
3 years ago
Read 2 more answers
Y³+3x²y+3xy²+y³-3x²y what is the answer
bazaltina [42]
y^{2}  (2y + 3x) 
7 0
4 years ago
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