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beks73 [17]
2 years ago
9

Factor this trinomial. x² + 11x + 18

Mathematics
2 answers:
jeka57 [31]2 years ago
6 0

Answer:

(x + 9)(x + 2)

Step-by-step explanation:

x² + 11x + 18

consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (+ 11)

the factors are + 9 and + 2 , since

9 × 2 = 18 and 9 + 2 = 11 , then

x² + 11x + 18 = (x + 9)(x + 2)

liubo4ka [24]2 years ago
3 0
Greeting to you! My name is Cecille and I’m here to answer that question

For more explanation, please see the attachment

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Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the
Dmitriy789 [7]

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

5 0
3 years ago
Can someone please help me it's urgent!<br> Classify triangle ABC. Justify your classification.
NikAS [45]

Answer:it's an equilateral triangle

Step-by-step explanation:

Can I have brainliest I'm almost upgraded

4 0
3 years ago
Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this
Katen [24]

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

8 0
3 years ago
The Hoskins family spend $600 per month on groceries for their family. If this is 15% of their monthly budget, what is there mon
Varvara68 [4.7K]

Hi!

We will find the monthly budget using proportions, like this:

15% = 0,15___________600$

100% = 1_____________x$

__________________________

x = (600*1)/0,15

x = 600/0,15

x = 4000

Their monthly budget is 4000$.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Please help asap pleaseeeew
wel

Answer:

6.

Step-by-step explanation:

1) OA=d/2=20/2=10;

2) AB=AC/2=16/2=8;

3) \ OB=\sqrt{OA^2-AB^2} =6.

3 0
2 years ago
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