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Elodia [21]
3 years ago
14

Factor 13x2 + 13x + 9x + 9 = 0​

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

\Large \boxed{x=\frac{-9}{13} \ \ \mathrm{or} \ \ x = -1}}

Step-by-step explanation:

13x^2  + 13x + 9x + 9 = 0

Factor the expression.

13x(x+1)+9(x+1)=0

Take (x + 1) as a common factor.

(13x+9)(x+1)=0

Set factors equal to 0.

First possibility:

13x + 9 = 0

13x=-9

\displaystyle x=\frac{-9}{13}

Second possibility:

x+1=0

x=-1

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Marina86 [1]

Answer:

2x = 150

divide both sides by 2

x = 75

Step-by-step explanation:

hope this helps :)

3 0
3 years ago
Read 2 more answers
Find the centroid of the region bounded by y = 3x^2, y = 0, x = 4
ANTONII [103]
To determine the centroid, we use the equations:

x⁻ = 1/A (∫ (x dA)) 
y⁻ = 1/A (∫ (y dA)) 

First, we evaluate the value of A and dA as follows:

A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3  from 0 to 4
A = 64

We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA)) 
x⁻ =  1/64 (∫ (x (3x^2 dx))) 
x⁻ =  1/64 (∫ (3x^3 dx)
x⁻ =  1/64 (3 x^4 / 4) from 0 to 4
x⁻ =  1/64 (192) = 3

y⁻ = 1/A (∫ (y dA)) 
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx))) 
y⁻ = 1/64 (∫ (9x^4 dx) 
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5

The centroid of the curve is found at (3, 144/5).
7 0
2 years ago
Which are examples of unit rates? Check all that apply. A) 100 students for every 2 buses B) 1 teacher per 25 students C)4 penci
AleksandrR [38]

Answer:

C) 4 pencils for each student

D) 8 students per team

Step-by-step explanation:

A unit rate is the number of unit of the first type of a quantity corresponding to one unit of the second type of quantity.

That is, if a and b are two quantities,

Then, unit rate of quantity a = x units of 'a' per 1 unit of 'b' or x units of 'a' for 1 unit of 'b'

By the above statement,

The example of unit rates from the given options are,

4 pencils for each student,

8 students per team

6 0
3 years ago
Read 2 more answers
Will mark as brainliest if correct
sergeinik [125]

Answer:

A, B and F.

Step-by-step explanation:

The bill total  + 20% of the bill total must be less than or equal to $60.

So we have the inequality:

x + 0.20x ≤ 60

1.20x ≤ 60

x ≤ 60/1.20

x ≤ 50 dollars.

6 0
3 years ago
Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coord
ElenaW [278]

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

8 0
2 years ago
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