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3 years ago

Naomi lives 5 1/2 blocks north of school. Marco lives 8 blocks north of school. How far does Naomi live from Marco

Mathematics

1 answer:

jeka57 [31]3 years ago

4 0

Answer:

2 1/2

Step-by-step explanation:

8-5 1/2 = 2 1/2

Hope this helps!

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Select all of the following equation(s) that are quadratic in form.

Whitepunk [10]

An equation is quadratic if the greatest power of the coefficients is 2. Hence, for the given equations, only 6(2x + 4)2 = (2x + 4) + 2 is quadratic in nature.

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3 years ago

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The two rectangular prisms shown have bases with the same area. the height of Y=6 cm. The height of Z=24. Which statement is tru

erma4kov [3.2K]

Answer:

I think it is B.

Step-by-step explanation:

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2 years ago

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SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

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3 years ago

The length of a rectangle is three more than twice its width the perimeter of a rectangle is 42 cm what is the length of the rec

Maurinko [17]

Answer:

The length of the rectangle is 15 cm.

Step-by-step explanation:

breadth(b)=?

length(l)= 3+2b

perimeter(P)= 42 cm

Now,

P = 2 ( l+b )

or, 42= 2 ( 3+2b+b)

or, 42 = 2 ( 3+3b)

or, $\frac{42}{2}$ = 3+3b

or, 21 = 3+3b

or, 21-3 =3b

or, 18 = 3b

or, $\frac{18}{3}$ = b

or, 6 = b

Here, Breadth(b)= 6 cm

Length (l) = 3 + 2*6

= 3 + 12

=15 cm

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3 years ago

Explain answer <br> GIVING BRAINIEST

AveGali [126]

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the $\frac{Rise}{Run}$ technique. Moving up 2 units and to the right 1 unit, which would be represented by $\frac{2}{1}$ .

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2 years ago

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