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Cerrena [4.2K]
3 years ago
12

Find the slope of the line that passes through the points  (0, 4) and (2, -3).

Mathematics
2 answers:
kifflom [539]3 years ago
8 0
(0,4)(2,-3)
slope = (-3 - 4) / (2 - 0) = -7/2
arsen [322]3 years ago
6 0
C.-2/7 would be your answer
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Evaluate the integral. pls help me see the steps. thank you​
Alona [7]

Answer:

-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C

Step-by-step explanation:

Use the method of integration by parts. The method is based in the following rule of derivation of two functions f and g :

(fg)' = f'g+fg'\implies fg'=(fg)'-f'g\implies \\\int fg' dx = fg -\int f'g dx

Identify suitable f and g in the original expression. I use:

f=x\,\,\,, \,\,\,g=\sqrt{1-x}\\f'=1\,\,\,,\,\,\,g'=-\frac{2}{3}(1-x)^\frac{3}{2}

and write the integration by parts :

\int x\sqrt{1-x} dx = -\frac{2}{3}x(1-x)^\frac{3}{2}+\frac{2}{3}\int (1-x)^\frac{3}{2}dx=\\ =-\frac{2}{3}x(1-x)^\frac{3}{2}-\frac{4}{15}(1-x)^\frac{5}{2}+C=\\=-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C

with C an arbitrary integration constant.

8 0
2 years ago
SimplifyLaTeX: \dfrac{\cos^2\alpha}{1-\sin\alpha}-1
Troyanec [42]
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3 0
2 years ago
What did the harlem renaissance celebrate accomplished and lead to in the early 1900’s
natima [27]

Answer:

The migration of the African-Americans to Harlem in the USA empowered the African-Americans in the society in the early 1900s. This was one of the greatest accomplishments of the African-Americans in history.

Explanation:

The "Harlem Renaissance" was originally called the "New Negro Movement." During the "Reconstruction Era," many of the African Americans felt a newfound empowerment in the society. They started leaving the South, where most of them were enslaved and maltreated. Many of them moved to other places such as "Harlem" in New York City. It became an ideal destination for many "Negros" and their number increased over time.<u> This then became an African-American neighborhood</u>.

African-Americans started producing plays with actors of their descent. Several Negro poets emerged describing the life of the African-Americans. Negros became more literate and able when it comes to expressing themselves in the society. They even had their own newspaper known as<em> "The New Negro Movement."</em>

8 0
3 years ago
What is the slope of the line below
tatyana61 [14]

Slope is change in y over change in c.

Using the two dots shown:

(5,8) (3,2)

Slope = (2-8)/(3-5) = -6/-2 = 3

The slope is 3

5 0
2 years ago
Round 13.406 to the nearest hundredths
hjlf
13.41 is 13.406 rounded to nearest hundreth
8 0
3 years ago
Read 2 more answers
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