Ask question

Ask question

All categories

2 years ago

7

45+5t=45solving for t

1 answer:

Naya [18.7K]2 years ago

8 0

Answer:

t=0

Step-by-step explanation:

The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.

You might be interested in

Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

$2*sin(x)+y*cos(x)-cos(y)=C_1$

7 0

3 years ago

Given the equation of the circle, identify the coordinates of the center. (x+2)2+(y-6)2=49

sveta [45]

Answer:

(-2, 6)

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

In this case, the center is (-2, 6).

3 0

2 years ago

A taxi company charges $3 for pick-up plus $0.65 for each mile. Select the expressions that represent the cost in dollars for a

alexira [117]

the equation is y=0.65x+3

8 0

3 years ago

There are 28 student desks in a class. Each desk measures 26.17 inches. If you were to line up all the desks end to end how long

nekit [7.7K]

732. 76 inches which would equal 61.06 feet

6 0

2 years ago

find the slope of the lines that pass through each pair of points. (-1,4) and (5,1); (-3,4) and (0, 10), m1= and m2=

Amiraneli [1.4K]

For these equations, we are going to use the slope formula, as defined below ( $m$ is slope and $(x_1, y_1)$ and $(x_2, y_2)$ are coordinate points):

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

We can simply "plug in" the coordinates we are given:

$m_1 = \dfrac{1 - 4}{5 - (-1)} = \dfrac{1-4}{5+1} = - \dfrac{3}{6} = - \dfrac{1}{2}$

$m_2 = \dfrac{10 - 4}{0 - (-3)} = \dfrac{10-4}{3} = \dfrac{6}{3} = 2$

Our answers are:

$\boxed{m_1 = - \dfrac{1}{2}}$

$\boxed{m_2 = 2}$

7 0

2 years ago