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Nutka1998 [239]
3 years ago
13

Factor (z-5)(z+4)=52​

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Good Afternoon! Here is your answer step by step!

Let's solve your equation step-by-step.

(z−5)(z+4)=52

Step 1: Simplify both sides of the equation.

z2−z−20=52

Step 2: Subtract 52 from both sides.

z2−z−20−52=52−52

z2−z−72=0

Step 3: Factor left side of equation.

(z+8)(z−9)=0

Step 4: Set factors equal to 0.

z+8=0 or z−9=0

z=−8 or z=9

Answer:

z=−8 or z=9

Have a blessed day! ❤

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Romashka [77]

Answer:

x ≈ 11.5

General Formulas and Concepts:

<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

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle = 35°

Opposite Leg = <em>x</em>

Hypotenuse = 20

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

  1. Substitute [sine]:                    sin35° = x/20
  2. Isolate <em>x</em>:                                 20sin35° = x
  3. Evaluate:                                 11.4715 = x
  4. Rewrite:                                  x = 11.4715
  5. Round:                                    x ≈ 11.5
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Step-by-step explanation:

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