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Brums [2.3K]
3 years ago
9

Write the equation of the line that is parallel to the graph of y=-4x-9 and whose y intercept is 3

Mathematics
1 answer:
nalin [4]3 years ago
8 0
Y = -4x - 9 
The new line has the same slope as the one above, that is - 4
A y intercept means the point (in this case) is 0,3 [The x value is 3]
 
y = -4x + b Now use (0,3)
3 = 0 + b
b = 3

y = - 4x + 3 is the line you want.
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3 lol

Step-by-step explanation:

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2 years ago
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Help on number 9 please!
lutik1710 [3]

2x+2

Work:

Factor 2x^2+10x+12: 2(x+2)(x+3)

Cancel all x+3, leaving 2(x+2)

2x+2

4 0
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2 years ago
Solving Rational equations. LCD method. Show work. Image attached.
Dmitry [639]

Answer:

b=1

Step-by-step explanation:

The given rational equation is

\frac{2b-5}{b-2} -2=\frac{3}{b+2}

The Least Common Denominator is (b+2)(b-2).

Multiply each term in the equation by the LCD.

(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}

Simplify;

(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}

(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)

Expand and group similar terms

2b^2-5b+4b-10 -2(b^2-4)=3b-6

2b^2-5b+4b-10 -2b^2+8=3b-6

-b-2=3b-6

3b+b=-2+6

4b=4

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3 0
3 years ago
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
expeople1 [14]

Answer:

8.5m^{2}+ m -5

Step-by-step explanation:

Since perimeter, P=19m^{2}+ 2m -10 and we know that P=2(l+w) then P=2(l+m^{2})=2l+2m^{2}

The length will be 2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10

Now l=8.5m^{2}+ m -5

6 0
3 years ago
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