Ask question

Ask question

All categories

4 years ago

15

How do you solve this using substitution? -x+y=1 x+y=-1

1 answer:

Alexeev081 [22]4 years ago

4 0

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (-1,0)
Equation form: x=-1,y=0

You might be interested in

My attempts at solving this integral keep failing... I'd really appreciate some help :)

inysia [295]

$\bf \displaystyle \int \cfrac{csc^2(x)}{1+cot(x)}\cdot dx\\\\
-----------------------------\\\\
u=1+cot(x)\implies \cfrac{du}{dx}=-csc^2(x)\implies \cfrac{du}{-csc^2(x)}=dx\\\\
-----------------------------\\\\
\displaystyle \int\cfrac{csc^2(x)}{u}\cdot \cfrac{du}{-csc^2(x)}\implies -\int \cfrac{1}{u}\cdot du
\\\\\\
-ln|u|+C\implies -ln|1+cot(x)|+C$

5 0

3 years ago

Find the trigonometric integral. (Use C for the constant of integration.)

Olin [163]

Suppose we let $u=\sin\theta+\cos\theta$ , so that $\mathrm du=(\cos\theta-\sin\theta)\,\mathrm d\theta$ .

Also, recall the double angle identity for cosine:

$\cos(2\theta)=\cos^2\theta-\sin^2\theta=(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)$

So, we can rewrite and compute the integral using the substitution, as

$\displaystyle\int\cos(2\theta)(\sin\theta+\cos\theta)^3\,\mathrm d\theta$

$=\displaystyle\int u\cdot u^3\,\mathrm du$

$=\displaystyle\int u^4\,\mathrm du$

$=\dfrac{u^5}5+C$

$=\boxed{\dfrac{(\cos\theta+\sin\theta)^5}5+C}$

4 0

3 years ago

Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years.

Kobotan [32]

So their age can be no more than 22. And Martin is 6 years younger, which means you subtract.

22 ≥ x + x - 6

5 0

3 years ago

Point N is on line segment MO. Given MO = 3x - 10, NO = x, and M N = 8,

alexandr402 [8]

Answer:

MO = 17

Step-by-step explanation:

First, you need to define what if the unknown x.

segment MN and NO are equal to MO.

thus, your equation for the combination is x +8

Now set the values equal to each other

x + 8 = 3x - 10 (subtract x from both sides)

8 = 2x - 10 ( get your x value alone, add 10 to both sides)

18 = 2x (simplfy)

x = 9

Now plug x value into MO

3 (9) - 10 = 17

Check with opposing equation:

9 + 8 = 17 √

3 0

3 years ago

Perimeter of a triangle with side length of 13.9in,10.4,8.5in

AlladinOne [14]

Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)

6 0

3 years ago

Read 2 more answers