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densk [106]
3 years ago
8

Find the equation of the line that has a slope of -½ and passes through the point (-6,9)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

y = -1/2x +6

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +b

Substitute the point into the equation

9 = -1/2 (-6) +b

9 = 3+b

9-3 =b

6 =b

y = -1/2x +6

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Concrete pour requires 9.83 cubic yards of cement. How many one cubic foot sacks must be order?
OverLord2011 [107]

Answer:

  266

Step-by-step explanation:

There are (3 ft)^3 = 27 ft^3 in 1 cubic yard. Then 9.83 cubic yards will be ...

  (9.83 yd^3)(27 ft^3/yd^3) = 265.41 ft^3

265 sacks will not be enough. 266 sacks must be ordered.

5 0
2 years ago
What’s the pattern 1,2,3,6,7, 14 , 15
Eddi Din [679]
1 to 2
Multiply by 2

2 to 3
Add by 1

3 to 6
Multiply by 2

6 to 7
Add by 1

7 to 14
Multiply by 2

14 to 15
Add by 1

Do you see the pattern?

Multiply by 2 and then add by 1; repeat the process.

Have an awesome day! :)
4 0
3 years ago
Please answer this correctly
Anna [14]

Answer:

66.7%

Step-by-step explanation:

The numbers less than 7 on the list are 3, 4, 5, and 6.

4 numbers are less than 7 out of total 6 numbers.

4/6 = 2/3 = 0.667 = 66.7%

3 0
3 years ago
Read 2 more answers
A rectangular poster is to contain 512 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
goldfiish [28.3K]

Answer:

Poster dimensions:

w = 18 in

h  = 36 in

A(min) = 648 in²

Step-by-step explanation:

Printed area for the rectangular poster is:

512 in²

If we call "x" and  "y" dimensions of printed area we have:

512 = x*y       ⇒   y  =512/x

According to problem statment dimensions of the poster will be:

w  = x + 2       and   h  = y + 4

Then area of the poster is:

A(p) = w*h       ⇒   A(p) = (  x + 2 ) * ( y + 4 )

A(p) =  x*y + 4*x + 2*y + 8

And as y = 512/x we can express A(p) as a function of x

A(x) = x* (512/x) + 4*x + 2*(512/x) + 8

A(x) = 512 +4*x + 1024/x + 8    ⇒   A(x) = 520 +4*x + 1024/x   (1)

Taking derivatives on both sides of the equation (1) we get:

A´(x) = 4 - 1024/x²

A´(x) = 0       ⇒    4 - 1024/x² = 0

4*x² = 1024

x² = 1024/4

x² = 256

x = 16 in      and  y = 512/16       y  =  32 in

The value of A´(16) = 0   since  1024 /256 = 4

And A´´(x)  = - [ - 1024(2x)/ x⁴] will be A´´(x)  > 0

Then the function has a minimum for x = 16

And dimensions of the poster are:

w = x + 2      w = 18 in

h =  y + 4      y  = 36 in

A (min) = 36*18

A (min) = 648 in²

6 0
3 years ago
Which of the following points lies on the line whose equation is y = 2x - 3? (0, 3) (1, -1) (-1, 4)
babunello [35]
The answer would be (-1,4)
7 0
3 years ago
Read 2 more answers
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