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3 years ago

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: y=mx+c</h3>

x y

point (6,5)

substitute:

5= 1 (6) + c

c = 5 - 6

= 59

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<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:

1) the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

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:

1 X 3 = 3

Column 3:

10 X 3 = 30

Column 4:

60 ÷ 3 = 20

The ratios are:

1 to 3

2 to 6

10 to 30

20 to 60

4 0

3 years ago