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Virty [35]
3 years ago
13

7+ax-5x=3+2x-bx

tle="7 + ax - 5x = 3 + 2x - bx" alt="7 + ax - 5x = 3 + 2x - bx" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

a = −bx+7x−4 over x


Step-by-step explanation:

solve for a:

7+ax−5x=3+2x−bx

add 5x to both sides:

ax−5x+7+5x=−bx+2x+3+5x

ax+7=−bx+7x+3

add -7 to both sides:

ax+7+−7=−bx+7x+3+−7

−bx+7x−4

lastly divide both sides by x.

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A line has a slope of -13. There is a second line that passes through points (-7,-5) and (6,-4) . Would these lines be parallel
Elza [17]
<h3>Answer: The lines are perpendicular</h3>

=================================================

Work Shown:

Use the slope formula to find the slope of the line through the two given points.

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-5))/(6 - (-7))

m = (-4 + 5)/(6 + 7)

m = 1/13

The slope of the line through the two given points is 1/13.

This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.

However, the two lines are perpendicular because multiplying the two slope values leads to -1

(slope1)*(slope2) = (-13)*(1/13) = -1

note: It might help to think of -13 as -13/1 to help multiply the fractions.

3 0
3 years ago
Order the numbers from least to greatest<br> √99 , 2 , 9.8
spin [16.1K]

Answer:

2, 9.8, \sqrt{99}

Step-by-step explanation:

The decimal form of \sqrt{99} is 9.949

3 0
2 years ago
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What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

  • <em>r</em> is radius
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  1. Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(11 in)(23 in) + 2π(11 in)²
  2. Evaluate exponents:                                                                                         SA = 2π(11 in)(23 in) + 2π(121 in²)
  3. Multiply:                                                                                                             SA = 506π in² + 242π in²
  4. Add:                                                                                                                   SA = 748π in²
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The <em><u>correct answer</u></em> is:

C. Range

Explanation:

The definition of domain is the set of all possible input values, or x-values, of a function.

The definition of range is the set of all possible output values, or y-values, of a function.

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