All categories

2 years ago

How do i factor the following expression x^2-36

1 answer:

8 0

Factor the following:
x^2 - 36
x^2 - 36 = x^2 - 6^2:
x^2 - 6^2
Factor the difference of two squares. x^2 - 6^2 = (x - 6) (x + 6):
Answer: (x - 6) (x + 6)

You might be interested in

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

25-3x-2-4x+5 has how many coefficients and how many expressions

adoni [48]

Answer:

This expression has 2 coefficients, (-3 and -4), because any number with a variable is a coefficient. That means 25, -2, and 5 are all constants, because they don't have variables.

Variables are the x's in this case.

I hope this answers your question :) Also if you like, can you mark me brainliest, please? It would really mean a lot to me :)

3 0

2 years ago

Which scenario depicts two independent events? A teacher is calling on students to present their reports. He calls on Mario firs

Vsevolod [243]

Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy

4 0

3 years ago

Read 2 more answers

Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet?

Temka [501]

To find the total cost multiply $12 x 180 square feet

3 0

2 years ago

Find the perimeter of the isosceles trapezoid

Genrish500 [490]

Answer:

A =136 cm^2