All categories

3 years ago

17 points please show your work Solve. x^2+5x+6=0

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer:

Step-by-step explanation:

$x^2+5x+6=0\\\\x^2+2x+3x+6=0\\\\x(x+2)+3(x+2)=0\\\\(x+2)(x+3)=0\iff x+2=0\ \vee\ x+3=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3$

You might be interested in

Find the distance between the two points rounding to the nearest tenth (if necessary).

jek_recluse [69]

Answer:

$\displaystyle d \approx 9.8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Plane

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

Identify

Point (5, 7)

Point (-4, 3)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-4 - 5)^2 + (3 - 7)^2}$
[√Radical] (Parenthesis) Simplify: $\displaystyle d = \sqrt{(-9)^2 + (-4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{81 + 16}$
[√Radical] Simplify: $\displaystyle d = \sqrt{97}$
[√Radical] Approximate: $\displaystyle d \approx 9.8$

3 0

3 years ago

At the beginning of a basketball season, the panthers won 40 games out of 100 games. At this rate, how many games will they win

denis23 [38]

At the rate of winning, they should win 44 games in normal 110-game season.

7 0

3 years ago

A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of

Burka [1]

3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36

4 0

3 years ago

If AC = 24, find the value of x. Then find AB and BC

anzhelika [568]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the correct question is:

If B is between A and C, and AB=3x+1, BC=2x-7, and AC=24, then find the value of x and the value of AB

Answer: The line segment addition postulate states that if a point B is placed between a line segment with end points A and C, then the distance between the points can be expressed by the equation:

AB + BC = AC

But AB=3x+1, BC=2x-7, and AC=24, Hence:

3x + 1 + 2x - 7 = 24

3x + 2x + 1 - 7 = 24

5x - 6 = 24

5x = 24 + 6

5x = 30

x = 6

AB = 3x + 1 = 3(6) + 1 = 18 + 1 = 19

BC = 2x - 7 = 2(6) - 7 = 12 - 7 = 5

5 0

3 years ago

-2y+4x=14 solve for y:Show your work

bija089 [108]

subtract 4x from both sides

-2y=14-4x

divide each side by -2

y=2x+7

3 0

4 years ago

Read 2 more answers