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satela [25.4K]
2 years ago
10

Factorise 10xy-12+15x-8y

Mathematics
1 answer:
GaryK [48]2 years ago
4 0

Answer: 10xy-12+15x-8y=(5x-4)*(2y+3).

Step-by-step explanation:

10xy-12+15x-8y=(10xy-8y)+(15x-12)=\\=2y*(5x-4)+3*(5x-4)=(5x-4)*(2y+3).

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A line passes through the point (-9, -3) and has a slope of 2.
tresset_1 [31]

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

4 0
2 years ago
Cookies are sold singly or in packages of 3 or 9. With this​ packaging, how many ways can you buy 18 ​cookies?
Roman55 [17]
You can buy 18 single cookies,
6 packages that contain 3 cookies, or
2 packages that contain 9 cookies.

4 0
3 years ago
Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.
fredd [130]

Answer:

The number of years it would take is  n  =  2 \ years

Step-by-step explanation:

From the question we are told that

         The earning per share  is  P = $3.50

          The growth rate is  r  =  7.0%

           The duration is t =  5 \ years

Generally the future value is mathematically represented as

          A =  P(1 + \frac{r}{100} )^n

 Where P is the present value

              n is the time period

         A is the future value which is mathematically evaluated as

               A =  3 * P

substituting value

            A =  3 * 3.50

            A = $ 10.5 0

So

      A =  P(1 + \frac{r}{100} )^n

       10.5 =  3.5(1 + \frac{7}{100} )^n

       10.5 = 3.225^n

Taking log of both sides

       log 10.5 = nlog 3.225

        1.0212 = n(0.5085)

         n  =   \frac{1.0212}{(0.5085)}

         n  =  2 \ years

     

4 0
3 years ago
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Lisa [10]

Answer:

The third exterior angle is 103^o

Step-by-step explanation:

Given

\theta = 158^o

\alpha = 99^o

Required

The third exterior angle (\beta)

The exterior angles of a triangle add up to 360 degrees.

So:

\theta + \alpha + \beta = 360^o

Make \beta the subject

\beta = 360^o - (\theta + \alpha)

Substitute known values

\beta = 360^o - (158^o + 99^o)

\beta = 103^o

4 0
3 years ago
The net of a square pyramid is shown below:
torisob [31]

28 is the correct answer.


7 0
3 years ago
Read 2 more answers
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