All categories

1 year ago

I need help question 4

Mathematics

1 answer:

fredd [130]1 year ago

8 0

Answer:

-51

Step-by-step explanation:

If the limits are reversed, then place a negative sign in front of the integral.

$\int\limits^a_bf ({x}) \, dx =-\int\limits^b_a f({x}) \, dx$

$\int\limits^a_3 f({x}) \, dx = 51\\$ where $\alpha =10\\$

$\int\limits^3_\alpha f( {x}) \, dx =-51$ where $\alpha =10$

You might be interested in

Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.

Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

$(a^{m})^{n} = a^{m*n}$

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0

2 years ago

1. Five more than three times a number is sixty- five.

nalin [4]

First equation
a. 3x+5=65
b.3x=60 x=20

7 0

3 years ago

Write an equation of the line through (6,-2) with a slope of 4

torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

$y-y_0=m(x-x_{0)}$

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

$y-(-2)=4(x-6)$

which we can work out a little more:

$y+2=4x-24$

And even a little more to finish the equation of the line in its standard slope-intercept form:

$y=4x-24-2=4x-26$

So the equation of the line is:

$y=4x-26$

3 0

11 months ago

PLEASE help me out!!!!!!!!!

ExtremeBDS [4]

Answer: Screams internally

Step-by-step explanation:

6 0

2 years ago

The three sides of a triangular lot are represented by x , 2 x , and 3 x + 2. Find each side if the perimeter of the triangular

Leona [35]

Answer:

60 ft, 120 ft, 182 ft

Step-by-step explanation:

Hi there,

To find the perimiter of a polygon, you need to add of all of the sides.

So, let's do that:

x + 2x + 3x+2

Since we are given the perimeter, we make what we just did above, equal to the perimeter

x + 2x + 3x +2 = 362

Combine lke terms...

6x + 2 = 362

Subtract 2 from both sides to start to isolate the variable...

6x = 360

Divide both sides by 6 to isolate x...

x = 60

But we're not done yet...

The length of the first side is 60 ft, the length of the second side is 2*60 which is 120 ft, and the length of the third side is 3*60 + 2 which is 182 ft.

Let's check...

Does 60 + 120 + 182 = 362?

362 = 362

Our answers are right

Hope this helps! Stay safe!

- Emily

5 0

3 years ago