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Ivan
3 years ago
14

What is the span of the roof? A. 4 ft B. 12 ft C. 18 ft D. 24 ft

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

  D.  24 ft

Step-by-step explanation:

The slope of 1/3 means the rise is 1/3 the run for each half of the span. The rise is shown as 4 ft, so the half-span is 3·4 ft = 12 ft.

The span of the roof is 24 ft.

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Divide the polynomial x^3+x^2-2x+3 by (x-1)​
Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³.  Divided by x, that's x².  So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again.  First term is 2x².  Divided by x is 2x.  So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0
3 years ago
Write a standard form of a quadratic equation that has roots - 5/2 and 3.
lora16 [44]

Answer:

2x^2 - x - 15 = 0.

Step-by-step explanation:

In factor form this is

(x + 5/2)(x - 3) = 0

x^2 + 5/2x - 3x  - 15/2 = 0

x^2 - 1/2x - 15/2 = 0

Multiply through by 2:

2x^2 - x - 15 = 0.

6 0
3 years ago
Which choice correctly expresses the number below in scientific notation
katovenus [111]
Its C. 4.31 x 10^-5 = 0.0000431
3 0
3 years ago
What is the value of 5.4?
Galina-37 [17]
The value is .54 hope this helped
5 0
3 years ago
Usama needs to read 6 novels each month.
Delicious77 [7]

Answer:

78 novels

Step-by-step explanation:

N= novels

M= month

6N = 1M

? = 13M

6N × 13M= 78NM

78NM ÷ 1M

cancel M, therefore;

the number of novels Usama needs to read in 13 months is 78.

5 0
2 years ago
Read 2 more answers
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