Which statements are true about the components of a circle? Check all that apply.

Find the equation of the straight line that passes through the points (1, 10) and (3, 2)

Aloiza [94]

Answer:

y = -4x + 14

Step-by-step explanation:

using the slope intercept form of a line

y = mx + c

Given points

1, 10
3, 2

slope (m) =

$= \frac{y2 - y1}{x2 - x1} \\ = \frac{2 - 10}{3 - 1} \\ = \frac{ - 8}{2} \\ = - 4$

taking one point as for filling x and y and finding the y intercept (c)

y =mx + c

10 = (-4) × 1 + c

10 + 4 = c

14 = c

therefore the equation is

y = -4x + 14

6 0

3 years ago

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Directions: List all the factors of each number.

tatiyna

Answer:

Step-by-step explanation:

The factors of each numbers are

1) 6 = 1, 2, 3 and 6

2) 35 = 1, 5, 7 and 35

3) 19 = 1, 19

4) 39 = 1, 3, 13 and 39

5) 44 = 1, 2, 4, 11, 22 and 44

6) 64 = 1, 2, 4, 8, 16, 32 and 64

7) 56 = 1, 2, 4, 7, 8, 14, 28 and 56

8) 80 = 1, 2, 4, 8, 10, 16, 20, 40 and 80

prime numbers are whole numbers that only has two factors which are itself and one while composite numbers have more than two factors

The list of composite and prime numbers are

9) 18 composite

10) 3 prime

11) 19 prime

12) 102 composite

13) 41 prime

14) 63 composite

15) 11 prime

16) 51 composite

3 0

4 years ago

PLEASE PLEASE PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINY, AND FRIEND.

Elanso [62]

distance formula

The distance formula is really just the Pythagorean Theorem in disguise. To calculate the distance AB between point A(x1,y1) and B(x2,y2) , first draw a right triangle which has the segment ¯AB as its hypotenuse. Since AC is a horizontal distance, it is just the difference between the x -coordinates: (x2−x1)

slope formula

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation.

midpoint formula

The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.

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│Hope this helped _____________________│

│~Xxxtentaction ^̮^ _____________________│

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8 0

4 years ago

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one mechanic can do a certain job in 4 days, a second mechanic in 6 days, and a third in 8 days. in what time can the three toge

Phantasy [73]

Now the first mechanic takes 4 days to do the job, so after he has worked for 1 day only, he has done 1/4 of the whole thing.

the second mechanic can do it in 6 days, so after 1 day only of work, he has done 1/6 of the whole thing.

the third mechanic can do it in 8 days, so after a day, he has done 1/8 of the total work.

now, if they all three work together, after 1 hour has gone by, the first mechanic has done 1/4 of the whole thing, the second mechanic has done 1/6 of it, and the last one, has done 1/8.

let's say it took all three working together "t" days, that means after 1 hour of work, they all combined have done 1/t of the whole thing, thus

$\bf \stackrel{first~mechanic}{\cfrac{1}{4}}~+~\stackrel{second~mechanic}{\cfrac{1}{6}}~+~\stackrel{third~mechanic}{\cfrac{1}{8}}~=~\stackrel{total~work}{\cfrac{1}{t}}\\\\
-------------------------------\\\\
\textit{let's use our LCD of 24 on the left-hand-side}
\\\\\\
\cfrac{6~+~4~+~3}{24}=\cfrac{1}{t}\implies \cfrac{13}{24}=\cfrac{1}{t}\implies t=\cfrac{24}{13}\implies \stackrel{\textit{1day, 20hrs, 18mins}}{t=1\frac{11}{13}}$

8 0

4 years ago

Y varies inversely with x if y = 7 when x =-4, find y when x = 5

marysya [2.9K]

Answer:

y = - $\frac{28}{5}$