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Nady [450]
2 years ago
7

Slope intercept form

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
4 0

Answer:

9) y=-\frac{1}{8} x+\frac{13}{8}

10) y = -1

11)  y=-\frac{5}{2}x

12) y= -\frac{4}{3}x+1

Step-by-step explanation:

Parallel lines have same slope and slopes of perpendicular lines are negative reciprocals of each other.

<u>9) through (-3, 2), parallel to   </u>y=-\frac{1}{8} x +4<u />

y-y_1=m(x-x_1)

y-2=-\frac{1}{8} (x+3)

y=-\frac{1}{8} x-\frac{3}{8} +2

<u>10) through (-5, -1), parallel to   </u>y=0<u />

y+1=0 (x+5)

y = -1

<u>11) through (2, -5), perpendicular to   </u>y= \frac{2}{5} x +5<u />

y+5=-\frac{5}{2} (x-2)

y=-\frac{5}{2}x+5-5\\y=-\frac{5}{2}x

<u>12) through (-3, 5), perpendicular to   </u>y= \frac{3}{4} x<u />

y-5=-\frac{4}{3} (x+3)

y= -\frac{4}{3}x-4 +5

y= -\frac{4}{3}x+1

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Find the missing side length of the triangle 10m 7.5m
xxTIMURxx [149]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
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Step-by-step explanation:

<u>Step 1: Identify</u>

Leg <em>a</em> = 7.5

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Hypotenuse <em>c</em> = <em>c</em>

<em />

<u>Step 2: Solve for </u><em><u>c</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                              7.5² + 10² = c²
  2. Rewrite:                                                                                                             c² = 7.5² + 10²
  3. Evaluate exponents:                                                                                         c² = 56.25 + 100
  4. Add:                                                                                                                   c² = 156.25
  5. [Equality Property] Square root both sides:                                                    c = 12.5
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