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tekilochka [14]
3 years ago
5

What is the equation of the line that passes through the points (6,5) and (-7,4)?

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

13y= x + 59

Step-by-step explanation:

gradient= y² - y¹ / x²- x¹

=5 - 4 / 6- -7

= 1/ 13

<h3>equation of line: <u>y=mx+c</u></h3>

x y

point (6,5)

<u>substitute</u>:

5= <u> </u><u>1</u><u> </u> (6) + c

13

c = 5 -<u> </u><u>6</u><u> </u>

13

= <u>5</u><u>9</u>

13

y=mx+c

13y= 1x + 59

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(1 point) Let f be a periodic function of period 10 such that f(x)=x2 for −5≤x&lt;5. Then the Fourier series of f is
ehidna [41]

Answer:

The answer is "\frac{25}{3}".

Step-by-step explanation:

please find the complete question in the attached file.

a_0=\frac{1}{10}\int^{5}_{x=-5} x^2 dx\\

   =\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}

7 0
3 years ago
Which equation illustrates the multiplicative identity property?
svlad2 [7]
I think that it’s the last
3 0
3 years ago
A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside
saw5 [17]

Answer:

<em>1) the exact distance = 9.428571429 feet</em>

<em>the approximate distance = 9.4 feet</em>

<em></em>

<em>2) the exact area = 7.071428571 ft^2</em>

<em>the approximate area = 7 ft^2</em>

<em></em>

Step-by-step explanation:

Required diameter d = 3 feet

1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.

circumference of a circle is given as = πd = \frac{22}{7} x 3 = 9.428571429 feet

the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) The area of the circle that will be formed = \pi d^{2}/4 = \frac{22 *3^{2} }{7*4} = 7.071428571 ft^2

the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

5 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Scorpion4ik [409]

Answer:

P(even) is 1/2.

Step-by-step explanation:

To get the probability of even numbers, you divide the amount of even numbers by the total amount of numbers. You should get 2 (amount of even numbers) /4 (total amount of numbers.) This simplifies to 1/2. I hope this helps and that you have a marvelous day!! Stay safe!!

3 0
3 years ago
Show calculations for each of the ratio table
Sladkaya [172]

Answer:

From left to right:

3, 30, 20

Step-by-step explanation:

Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:

yellow to red = 2 to 6 = 1 to 3

2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.

This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.

To go from yellow to red, do yellow X 3.

To go from red to yellow, do red ÷ 3.

Column 1:

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The ratios are:

1 to 3

2 to 6

10 to 30

20 to 60

4 0
3 years ago
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