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2 years ago

Graph the equation using the point and the slope.

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the equation of the line in point slope form

$y-5=\frac{1}{5}(x-5)$

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

<em>To graph the line</em>

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure

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What is the answer

Reika [66]

Answer:

35 mi²

Step-by-step explanation:

Let's subdivide the figure, as shown.

The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².

The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.

Area of trapezoid:

12 mi + 18 mi

------------------------ = 15 mi Width of trapezoid = 3 mi

Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²

and the total area of the entire figure is

45 mi² + 90 mi² = 135 mi²

3 0

2 years ago

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

3 years ago

Please help ASAP <3 Correct answer gets brainliest :3

Goshia [24]

Answer:

1. 1,016 sq. m.

2. 119 sq. m.

Step-by-step explanation:

14 x 18 = 252

18 x 8 = 144

14 x 8 = 112

2 ( 252 ) + 2 ( 144 ) + 2 ( 112 )

504 + 288 + 224 = 1,016 sq m

4 (7 x 5 divided by 2) + (7 x 7) =

7 x 5= 35 divided by 2 = 17.5 x 4 = 70 + 49 = 119 sq. m.

I hope this helps

sorry if i'm wrong

6 0

2 years ago

Which are considered good credit practices? Check all that apply. Pay less than the minimum amount due. Make payments on or befo

Margaret [11]

Answer:

Make payments on or before the due date; Pay off the full amount with the first monthly statement; Have a plan of how you will repay the money.

Explanation:

Good credit practices will help build your credit.

You must pay at least the minimum amount due each month in order to avoid late fees and derogatory marks on your credit report. This means the first option is not correct.

Making payments on or before the due date will keep your account in good standing. This option is correct.

Paying off the full amount with the first monthly statement, while it does not help y

our credit score much, will keep your account in good standing. This option is correct.

Having a plan of how you will repay the money you borrow is essential before you start borrowing. This option is correct.

Choosing the credit card with the highest interest rate will cause you to pay more over the lifetime of the balance. This is not something you want; this option is not correct.

9 0

3 years ago

Read 2 more answers

HELP HELP HELP HELP HELP ITS URGENT :((((

Ber [7]

Answer: well if you listened on school you wouldn't need help sooo

Step-by-step explanation: LISTEN IN SCHOOL

8 0

2 years ago