What is the expression for the area of this rectangle?

Mathematics

1 answer:

raketka [301]3 years ago

5 0

Answer:

Step-by-step explanation:

mcccccccccccccccccccccccccccccccccccccccccccccc

You might be interested in

A sequence is defined by the equation a1=50 and an=an-1+(-4) what is term a5?

ZanzabumX [31]

Answer:

Step-by-step explanation:

an=an-1+(-4)

a2 = a1 + (-4) = 50 - 4 = 46

a3 = a2 - 4 = 46 - 4 = 42

a4 = a3 - 4 = 42 - 4 = 38

a5 = a4 - 4 = 38 - 4 = 34

6 0

2 years ago

Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

$= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C$

substitute u = 1-2x⁵ into the result

$= \dfrac{1}{40(1-2x^5)^4} +C$

Hence $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ $= \dfrac{1}{40(1-2x^5)^4} +C$

5 0

2 years ago

What is the simplified form of this expression?

loris [4]

$\bf \cfrac{6x+12}{3x-6}\implies \cfrac{6(x+2)}{3(x-2)}\implies \cfrac{6}{3}\cdot \cfrac{(x+2)}{(x-2)}\implies \cfrac{2}{1}\cdot \cfrac{(x+2)}{(x-2)}\\\\\\ \cfrac{2(x+2)}{(x-2)}$