Mathematics, 20.11.2019 02:31 koolja3

Which point is on the line that passes through point r and is perpendicular to line pq?

(–6, 10)
(–4, –8)
(0, –1)
(2, 4)

Which point is on the line that passes through point r and is perpendicular to line pq?

Answers: 2

Show answers

Answers

Answer from: tinytoonjr8052

(–4, –8)

Step-by-step explanation:

Let the coordinates of common point of the given lines are (x,y),

Thus, the slope of the line passes through the points (a,b) and R(4,2) is,

$m_1 = \frac{2-b}{4-a}$

Again, the slope of the line passes through two points P(-6,4) and Q(4,-4),

$m_2 = \frac{-4-4}{4-(-6)} = \frac{-8}{4+6} = \frac{-8}{10} = \frac{-4}{5}$

Since, both lines are perpendicular to each other,

⇒ $m_1\times m_2=-1$

⇒ $\frac{2-b}{4-a}\times \frac{-4}{5} = - 1$

⇒ $\frac{4(2-b)}{5(4-a)} = 1$

⇒ $\frac{8-4b}{20-5a} =1$

⇒ 8-4b = 20 - 5a

⇒ 5a-4b=12 ---------(1)

For, a = -6 and b = 10,

$5\times -6-4\times 10=-70\neq 12$

For, a = -4 and b = -8,

$5\times -4-4\times -8=12= 12$

For, a = 0 and b = -1,

$5\times 0-4\times-1=4\neq 12$

For, a =2 and b = 4,

$5\times 2-4\times 4=-6\neq 12$

⇒ Second Option is correct.

Answer from: Quest

the input value is the number of times you fold it. the input value is also known as the x-value.

the output value is its thickness. the output value is the y-value.

when you don't fold it all, the thickness will remain the same, which is 1. the ordered pair would be (0,1).

when you fold it once, the thickness will double from 1 to 2. the ordered pair would be (1,2).

when you fold it a second time, the thickness will double from 2 to 4. the ordered pair would be (2,4).

fold it one more time, and the thickness will be 8. the ordered pair is (3,8)

fold it the fourth time, and the thickness doubles. 8 x 2 = 16. the ordered pair is (4,16)

fold it the fifth time, and the thickness goes from 16 to 32. the ordered pair is (5,32)

the ordered pairs would be:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

and so on : p

the question asks for 6 ordered pairs, so i bolded the first six.

now, the equation for this would be

if we graph that, and we do the vertical line test, then we know this is a function.

it is a function because each x-value has a different y-value. there are no y-values that have the same x-values.

i have attached the graph of that line.

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Quadrilateral wxyz is on a coordinate plane. segment yz is on the line x+y=7 and segment xw is on the line x+y=3. which statement proves how segments yz and xw are related

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

40) linda was making chocolate truffles for the first day of school. the recipe for 20 chocolate truffles is: i cup of cream 2 cups of dark chocolate she noticed this will not be enough truffles for the 42 sure that all students in each homeroom next year. to be sure that all students receive a truffle, linda must adjust her recipe. a. complete the recipe for 42 truffles cups of cream - cups of dark chocolate work:

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

How many square centimeters of wrapping paper will be used to wrap the shoe box?

Answers: 2

Answer

Mathematics, 22.06.2019 02:20

At a cost of 200, your club bought 175 frisbees to sell at the pep rally. you plan on selling them for $5 each. what is the domain of the function?

Answers: 1

Answer

You know the right answer?

Which point is on the line that passes through point r and is perpendicular to line pq?

...