Mathematics, 19.12.2020 07:10 lizzieee04

The product of two numbers and the difference them are 289 and 20 respectively. find the numbers

Answers: 2

Show answers

Answers

Answer from: Emiann222

x = 10 + √389, y = -10 + √389 // x = 29.7231, y = 9.72308

x = 10 - √389, y = -10 - √389 // x = -9.72308, y = -29.7231

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationStandard Form: ax² + bx + c = 0Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define Systems

xy = 289

x - y = 20

Step 2: Rewrite Systems

x - y = 20

Subtract x on both sides: -y = 20 - xDivide -1 on both sides: y = x - 20

Step 3: Redefine Systems

xy = 289

y = x - 20

Step 4: Solve for x

Substitution

Substitute in y: x(x - 20) = 289Distribute x: x² - 20x = 289Rewrite [SF]: x² - 20x - 289 = 0Define variables: a = 1, b = -20, c = -289Substitute [QF]: $x=\frac{20\pm\sqrt{(-20)^2-4(1)(-289)} }{2(1)}$ Exponents: $x=\frac{20\pm\sqrt{400-4(1)(-289)} }{2(1)}$ Multiply: $x=\frac{20\pm\sqrt{400+1156} }{2}$ Add: $x=\frac{20\pm\sqrt{1556} }{2}$ Simplify: $x=\frac{20\pm 2\sqrt{389} }{2}$ Factor GCF: $x=\frac{2(10\pm \sqrt{389} )}{2}$ Divide: $x=10\pm \sqrt{389}$

Step 5: Solve for y

Possibility 1: x = 10 + √389

Define equation: x - y = 20Substitute in x: (10 + √389) - y = 20Isolate y term: -y = 20 - (10 + √389)Isolate y: y = (10 + √389) - 20Combine like terms: y = -10 + √389Evaluate: y = 9.72308

Possibility 2: x = 10 - √389

Define equation: x - y = 20Substitute in x: (10 - √389) - y = 20Isolate y term: -y = 20 - (10 - √389)Isolate y: y = (10 - √389) - 20Combine like terms: y = -10 - √389Evaluate: y = -29.7231

Step 6: Identify Solutions

Possibility 1:

x = 10 + √389, y = -10 + √389

x = 29.7231, y = 9.72308

Possibility 2:

x = 10 - √389, y = -10 - √389

x = -9.72308, y = -29.7231

Answer from: Quest

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

Answer from: Quest

Distance=slopeslope is -2/4which equals-1/2the distance between these two points is -1/2

Another question on Mathematics

Mathematics, 21.06.2019 15:10

Drag each sequence of transformations to the correct location on the table. classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape i onto shape ii. plz i'll rate u 5 stars need this done for a mastery test

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Sheila wants to bake six muffins but the recipe is for 12 muffins . this means you only need half of the ingredients listed how much of the of each ingredient does she need? one cup and banana chips ,7 tablespoons oil , two eggs, 3/4 cups flour 1/4 cup walnuts show all you work and justify your answer using a baby toulmin.

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Write an expression that represent sarah’s total pay last week.represent her hourly wage with w monday 5 tuesday 3 wednesday 0 noah hours wednesday 8 only with w wage did noah and sarah earn the same amount last week?

Answers: 3

Answer

You know the right answer?

The product of two numbers and the difference them are 289 and 20 respectively. find the numbers...

Questions