What is the area of the figure? 26 ft 2 18 ft 2 32 ft 2 24 ft 2

What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?

malfutka [58]

Answer:

$6$ .

Step-by-step explanation:

A line that goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ where $x_{0} \ne x_{1}$ would have a slope of $m = (x_{1} - x_{0}) / (y_{1} - y_{0})$ .

The slope of the line that goes through $(8,\, 4)$ and $(-1,\, 1)$ would thus be:

$\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}$ .

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is $(-1)$ .

Thus, if $m_{1}$ and $m_{2}$ denote the slope of the first and second lines in this question, $m_{1}\, m_{2} = (-1)$ since the two lines are perpendicular to one another. Since $m_{2} = (1/3)$ , the slope of the first line would be:

$\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}$ .

Given that the first line goes through the point $(1,\, 0)$ , the point-slope equation of that line would be:

$(y - 0) = (-3)\, (x - 1)$ .

$y = -3\, x + 3$ .

Substitute in $x = (-1)$ to find the $y$ -coordinate of the point in question:

$y = -3\times (-1) + 3 = 6$ .

4 0

3 years ago

Pls help asap giving brainlist if it lets me

ra1l [238]

Answer:

F and D

Step-by-step explanation:

When a negative number is multiplied by a positive number, the result is a negative number. When a negative number is multiplied by another negative number, the result is positive.

4 0

3 years ago

Read 2 more answers

Also round answers to three decimal places

jek_recluse [69]

Answer:

?

Step-by-step explanation:

5 0

3 years ago

On monday it took 5 builders to 3 1/2 hours to build a wall

zubka84 [21]