The shortest distance from a point to a straight line is

Answers

Answer 1

Answer:

The shortest distance from a point to a straight line is the measurement of the line segment which connects the point to the straight line. This line segment should be perpendicular to the line and is thus called the perpendicular distance.

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What is the LCD of 2/5 and 1/10 ?

Answers

The answer is 10 because 5×2 is 10 and 10 times one is 10. So that's the lowest common denominator her.

Answer:

Step-by-step explanation:

Slope for -8,18 and -14,-3

Answers

$(\stackrel{x_1}{-8}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{-14}~,~\stackrel{y_2}{-3}) \n\n\n \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{18}}}{\underset{\textit{\large run}} {\underset{x_2}{-14}-\underset{x_1}{(-8)}}} \implies \cfrac{ -21 }{-14 +8} \implies \cfrac{ -21 }{ -6 } \implies \cfrac{7}{2}$

x+7=0 x-4=0 (x+7)(x-4)=0 how would you compare the three questions? what value(s) of x would make each equation true?

Answers

$x+7=0 \n \boxed{x=-7} \n \n x-4=0 \n \boxed{x=4} \n \n (x+7)(x-4)=0$
$x+7=0$ or $x-4=0$
$x=-7$ or $x=4$

S= {-7 ; 4}

$(x+7)(x-4)=0 \Leftrightarrow x+7=0 \vee x-4=0\n x=-7 \vee x=4$

5 is a ________ of 20.
multiple
factor

Answers

5 is a factor of 20

The multiples of 20 are

20, 40, 60, 80, 100, etc.

The table represents some points on the graph of a linear function.х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?

Answers

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

$\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)$

The table represents some points on the graph of a linear function.

х у

-7.5 12

-3.5 0

-1 -7.5

2 -16.5

3.5 -21

Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,

y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)

y = - (1/3)(x + 3.5)

3y = - x - 3.5

x + 3y + 3.5 = 0

The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.

More about the line passing through two points link is given below.

brainly.com/question/12740817

#SPJ5

Answer:

y=-3x-10.5

Step-by-step explanation:

Let's use the first set of numbers.

-7.5 and 12

-3.5 and 0

Our rise here is -12 and run is 4. So, our slope is -3.

Now we just need our intercept.

y = mx + b

y = -3x + b

0 = -3(3.5) + b

b = -10.5

9d + 2 = 56
The solution is d =

Answers

Answer:6

Step-by-step explanation:9x6=54

54+2=56

Answer:the solution is d=6

Step-by-step explanation:9*6+2=56

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