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erik [133]
3 years ago
15

How do I work out A & B ?

Mathematics
2 answers:
Sonja [21]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 5x + 6

Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)

The factors are 3 and 2, since

3 × 2 = 6 and 3 + 2 = 5, hence

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

(b)

To solve

x² + 5x + 6 = 0 ← use the factored form, that is

(x + 3)(x + 2) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

melomori [17]3 years ago
4 0

Answer:

a)

(x + 2)(x + 3)

b)

x = 2 \: or \: x = 3

Step-by-step explanation:

a){x}^{2}  + 5x + 6

=  {x}^{2} + 2x + 3x + 6

= x(x + 2) + 3(x + 2)

= (x + 2)(x + 3)

b)

{x}^{2}  + 5x + 6 = 0

{x}^{2} + 2x + 3x + 6 = 0

x(x + 2) + 3(x + 2) = 0

(x + 2)(x + 3) = 0

so \: either \: x + 2 = 0 \: or \: x + 3 = 0

therefore \: x =  - 2 \: or \: x =  - 3

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dem82 [27]

Answer:

256 degrees.

Step-by-step explanation:

The figure is a parallelogram so m < 1 = 180-52 = 128 degrees (same side angles).

Also m < 2 = m < 1  (opposite angles of a parallelogram), so their sum is 2*128

= 256 degrees.

6 0
3 years ago
Priya has completed 9 eczema questions.THis is 60% of the questions on the exam? how many questions are on the exam?
qwelly [4]

Answer:

15 questions

Step-by-step explanation:

9x100=900

900/60=15

9/15=60%

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Brenda purchased a total of 5 computers for $3,300. She received a 20% trade discount. What did Brenda pay for the computers
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5 0
2 years ago
Read 2 more answers
This is for a Geometry-H class
crimeas [40]

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

<h3>How to Apply the Linear Angles Theorem?</h3>

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

Learn more about the linear angles theorem on:

brainly.com/question/5598970

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