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Sidana [21]
3 years ago
7

Factor the expression. x squared plus 7 x plus 10

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

<u>x² + 7x + 10 = (x + 2) (x + 5)</u>

Step-by-step explanation:

Given: x squared plus 7 x plus 10

The algebraic expression is ⇒ x² + 7x + 10

To factor the expression, we need to find two numbers, their product = 10

and their sum = 7

Factor the number 10

10 = 1 * 10  ⇒ 1 + 10 = 11

10 = 2 * 5  ⇒ 2 + 5 = 7

So, the numbers are 2 and 5

<u>So, x² + 7x + 10 = (x + 2) (x + 5)</u>

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A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approxima
Blababa [14]

Answer:

Option C is correct

76 feet

Step-by-step explanation:

Area of square(A) is given by:

A =s^2

where, s is the side of the square.

As per the statement:

A square ceiling has an area of 360 square feet.

⇒A = 360 square feet.

then;

s^2 = 360

⇒s = \sqrt{360} =18.973666

Perimeter(P) of square is given by:

P = 4s

then;

P = 4 \cdot 18.973666 = 75.894664 \approx 76 ft

Therefore, 76 feet molding does he need.

7 0
3 years ago
A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of
Fofino [41]

Answer:

The answer is "\bold{100\ ft \times 200\ ft}"

Step-by-step explanation:

A = area of the pigpen 

x = its perpendicular length of the sides of the stone wall

Maximize function:

\to A = x (400-2x)\\\\Where\ \ 0

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is "\bold{100\ ft \times 200\ ft}"

3 0
2 years ago
What are the factors of 2x2 + 3x – 54? Select two options. 2x – 9 2x – 6 2x + 6 x – 6 x + 6
andrew-mc [135]

Answer:

2x − 9 and x + 6

Step-by-step explanation:

2x² + 3x − 54

Factor using the AC method.

2 × -54 = -108

Factors of -108 that add up to 3 are +12 and -9.

Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.

Therefore, the factors are x + 6 and 2x − 9.

8 0
3 years ago
Draw or write two ways to use a doubles fact to find 6+7
PtichkaEL [24]
Here are a few doubles facts:

5+5=10
2+2=4
3+3=6

A double is simply a pair of identical numbers added together. There's a pair of doubles you can <em>subtract </em>1 from to get 6+7, and there's a pair you can <em>add</em> 1 to get the same answer. What are those pairs?

Hint: If you take the example 3+4, you can either <em>subtract 1</em> from the double 4+4 or <em>add 1</em> to the double 3+3 to obtain your answer.
4 0
3 years ago
12-x=15 <br> What does x equal?
babymother [125]
12-x=15 \\ \\ -x = 15 - 12 \\ \\ -x = 3 \\ \\ x = -3 \\ \\

The final result is: x = -3.
3 0
3 years ago
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