Question

LET US TEST YOUR SKILLS!
Direction: Write the letter of the correct answer beside each number. Please use CAPITAL LETERS,
For item numbers 1-2, refer to the problem below.
The rectangular urban garden has an area of (2x2 +7x45)m?
5. What is the answer to the problem
Its length is (2x+5) melers. Find the dimensions.
a.3 11.
1. What type of factoring must be applied in the problem?
b. 6 ft.
C.901.
a. difference of squares
d. 12 11
b. sum of cubes
6. Lala has a square shaped picture frame measuring
C. common monomial
(x2+4x+4) In?. Find the lactors of its side,
d. general trinomial
a. (x-2)(x-2)in
2. Which of the ff. gives correct factors of the area?
b. (2x-1)(2x-1)in
a. (2x-5)(x-1)
C. (2x+1)(x+1)in
b. (2x-5)(x+1)
d. (x+2)(x+2)in
7. The square of a number increased by 12 is equal to 61,
c. (2x+5)(x-1)
Find the numbers.
d. (2x+5)(x+1)
a.-9 & 9
For itern numbers 3-5, refer to the problem below.
b. -8&8
A rectangle has a length that is 3 feet longer that its width.
C.-7 & 7
The area of the rectangle is 54 sq. ft. What is the measure
d. -6&6
of the width?
8. The length of a rectangle is (5x + 2) cm and its width is
(3x + 1) cm. Find its perimeter.
3. What is the mathematical statement of the length of the
a. (5x + 4) cm
rectangle?
b. (16x + 6) cm
a. (3x) ft
C. (8x + 3) cm
b. (3-x) ft
d. (6x + 3) cm
C. (x+3) ft
9-10. The area of a square is 4x2 - 9 square units. Which
d. (3x+1) ft
expression represents the dimension of the sides
4. Which of the following is the correct mathematical
a. (3x + 2) units
statement of the problem?
b. (2x + 3) units
a. (x)(x-3)=54
c. (3x - 2) units
b. (x)(3--x)=54
d. (2x - 3) units
c. (x)(x+3)=54
d. (x) (3x+1)=54​

Answer 1

Given  : 2x² + 7x + 5

x² + 4x + 4

To Find : Factorize

Solution:

2x² + 7x + 5

= 2x² + 2x + 5x + 5

= 2x(x + 1) + 5(x + 1)

= (2x + 5)(x + 1)

x² + 4x + 4

= (x + 2)²

= (x + 2)(x + 2)

The length of a rectangle is (5x + 2) cm and its width is  (3x + 1) cm.

Perimeter = 2 (5x + 2 + 3x + 1)  = 16x + 6   cm

Learn More:

Find the perimeter of the rectangle whose length is 12.5 metre and ...

https://brainly.in/question/13655039

find the perimeter and area of the rectangle of which is diagonal has ...

https://brainly.in/question/7290668

Answer 2

Answer:

let the number be x

(-6)^-1 * x = ( 9 )^-1

= > 1 / 6 * x = 1 / 9

= > x = 1 / 3 x ( - 2 ) / 1

= > - 2 / 3 .

Step-by-step explanation: