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mr_godi [17]
3 years ago
6

Help What is the point-slope form of the equation of the line with a slope of 5/3 that goes through point (0,3)?

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0
Y - 3 = 5/3 (x - 0)
this is point slope

y - 3 = 5/3x
y = 5/3x + 3
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Factor the binomial b^2 - 9
aliina [53]

Answer:

(b-3)(b+3)

Step-by-step explanation:

b^2+3b-3b-9

7 0
2 years ago
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The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room
m_a_m_a [10]
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
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(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
6 0
2 years ago
Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre
anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

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4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0
3 years ago
Hey can someone pls help me asap
vfiekz [6]

Answer:

non-Proportional

Step-by-step explanation:

It doesn't go through the origin (0,0)

3 0
2 years ago
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The Adventures of Huckleberry Finn, written by Mark Twain, has an ISBN of 978-014243717a, where a is the check number. What is t
Simora [160]

Answer: D. 9

Step-by-step explanation:

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