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Sergeeva-Olga [200]
3 years ago
7

7. Which expresses the calculation add 7 to b? A b +7 B - 7 © 7b D 6+7

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

b =7

Step-by-step explanation:

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Solve the triangle.<br> a = ?
alexandr402 [8]

9514 1404 393

Answer:

  a = 7

Step-by-step explanation:

The Pythagorean theorem tells you the value of 'a' is ...

  a^2 = b^2 - c^2

  a^2 = 25^2 -24^2 = 625 -576 = 49

  a = √49 = 7

The length of side 'a' is 7 units.

6 0
3 years ago
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
4 years ago
Determine the domain of the following graph
erica [24]

Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

5 0
3 years ago
in 2003, a gallon of gas cost $1.75. In 2013 a gallon of gas cost $3.25. Write an equation to model this situation.
djverab [1.8K]

We can easily solve this by assuming a linear equation. The general form is:

y = m x + b

where y is the price of gas, x is the year, m is the slope or increase in price every year and b is the y-intercept

We can solve the slope by:

m = (3.25 – 1.75) / (2013 – 2003)

m = 0.15

 

y = 0.15 x + b

Using any pair data, we get the b:

3.25 = 0.15 (2013) + b

b = -298.7

 

y = 0.15 x – 298.7

8 0
3 years ago
If a triangle has side lengths 27, 79, and 84 is it a right triangle
timofeeve [1]

Answer:

Nope

Step-by-step explanation:

A right triangle must have a 90 degree angle.

4 0
4 years ago
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