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4 years ago

Factor completely. − 3 x 2 + 6 x + 9 =

Mathematics

2 answers:

Dmitry_Shevchenko [17]4 years ago

6 0

-3x-3=9 because you factor the polynomial

Nady [450]4 years ago

3 0

Answer:

3(-2x+2x+2x+3)

Step-by-step explanation:

-3*2+6x+9

-3*2x+3*2x+3.3

3(-2x+2x+2x+3)

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Simon has a rectangular garden that is 10 feet wide. The perimeter of the garden is 50 feet. What is the area of Simon’s garden?

LuckyWell [14K]

The area of the garden is 150 ft squared

Explanation:
The formula for perimeter is Length+length+width+width = 50 ft (in this case the perimeter is 50 ft, as stated in the question). We also know that the width of the garden is 10, so length + length + 10 + 10 = 50. Next we can turn it into an algebraic equation to find the length : x + x + 10 + 10 = 50

Solve the equation:
1) combine like terms
2x + 20 = 50

2) We want to isolate x by moving all of the other numbers to the other side of the equation. Since 20 is the only other number on the left side, we subtract 20 from both sides
2x + 20 - 20 = 50 - 20
2x = 30

3) Now, to find x, we want to just have one x on the left side instead of two, so we divide the equation by two to find that
2x/2 = 30/2
x = 15

Now we know that the length is 15 ft, and the width is 10 ft. Since the formula for finding area is length x width, we do 15 x 10 to get 150. Therefore, the area is 150 ft squared.

Have a nice day

5 0

3 years ago

Read 2 more answers

Even numbers with the 2 in the ten-thousands place

Gala2k [10]

It can be, but it depends on the last number. if its even the number is then even.

4 0

3 years ago

Find the slope of the described line by x - 6y = -12

Simora [160]

Answer:

Slope m = 1/6

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

x - 6y = -12

Step 2: Rearrange

Find slope-intercept form.

Subtract x on both sides: -6y = -x - 12
Divide -6 on both sides: y = 1/6x + 2

Step 3: Break Function

Identify Parts.

Slope m = 1/6

y-intercept b = 2

8 0

3 years ago

A 12-centimeter stick has a mark at each centimeter. By breaking the stick at two of these eleven marks at random, the stick is

Lana71 [14]

Answer: The probability that the lengths of the three segments are the side lengths of a triangle is 0.25.

Step-by-step explanation:

Consider the event "S" as "The three segments are the sides of a triangle." Remember that the probability of an event occurring is calculated according to:

$P(S)=\frac{Cases\ in\ favor\ of\ S}{Total\ cases}$

By dividing the stick into three segments, the possible cases that can be obtained writing each case in parenteses and the length of each piece as a number are:

(1, 1, 10), (1, 2, 9), (1, 3, 8), (1, 4, 7), (1, 5, 6), (2, 2, 8), (2 , 3, 7), (2, 4, 6), (2, 5, 5), (3, 3, 6), (3, 4, 5), (4, 4, 4).

which corresponds to a total of 12 total cases.

The necessary condition so that a triangle can be formed is that the sum of its two minor sides is greater than the greater side, therefore the favorable cases would be:

(2, 5, 5), (3, 4, 5), (4, 4, 4)

which corresponds to a total of 3 favorable cases. Using the probability formula we obtain:

$P(S)=\frac{Cases\ in\ favor\ of\ S}{Total\ cases}=\frac{3}{12}=0.25$

8 0

3 years ago

Find the slope of the line that passes trough (66,68) and (21,-4)

Georgia [21]

Answer:

8/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-68)/(21-66)

m=-72/-45

simplify

m=8/5

7 0

3 years ago