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4 years ago

Complete the equation so that it has solutions of -5 and 7 2+

Mathematics

1 answer:

lorasvet [3.4K]4 years ago

7 0

Answer:

x^2 -2x -35 = 0

Step-by-step explanation:

Lets's solve backwards

x = -5

Add 5 to both sides

x + 5 = 5 - 5

x + 5 = 0

and

x = 7

Subtract 7 from both sides

x - 7 = 7 - 7

x - 7 = 0

Finding the product of both linear functions

(x + 5)(x - 7) =0

x^2 -7x + 5x -35 =0

x^2 -2x -35 = 0

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3 years ago

tell whether the system has one solution, infinitely many solutions, or no solution. x = -7y + 24 x + 7y = 32

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This system has no solution.
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3 years ago

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3 years ago

Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4

vaieri [72.5K]

Answer:

1/3 , only one solution

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

Which expression represents the distance between the points (11, 4) and (5,8)?

antiseptic1488 [7]

Answer:

$\displaystyle d = 2\sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-6)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{36+16}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{13}$

4 0

3 years ago