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andrew11 [14]
2 years ago
11

Use the function rule y=5x+1. What is y when x=3

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
7 0

Answer:

y = 16

(3, 16)

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

Step-by-step explanation:

<u>Step 1: Define</u>

y = 5x + 1

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    y = 5(3) + 1
  2. Multiply:                               y = 15 + 1
  3. Add:                                     y = 16
FromTheMoon [43]2 years ago
5 0
Y=16


Explanation: if x=3 we plug it in so the problem now becomes 15+1 which is why our answer is 16 have a nice day and good luck to you (:
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zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

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cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

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AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

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AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

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