All categories

3 years ago

Given the ordered pairs A (-6, 4) and B(8, 9). Show all work!

Mathematics

1 answer:

Elena L [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Two points A and B are given

Using two point formula for straight lines we get

$\frac{x+6}{8+6} =\frac{y-4}{9-4} \\5(x+6) = 14(y-4)\\5x+30 = 14y-56\\5x-14y+86 =0$

b) A line parallel to AB would be of the form

5x-14y +k=0

Since the line passes through (14,-6) substitute to get k

5(14)-14(-6)+k=0 Or k = -154

Line is 5x-14y-154 =0

c) A line perpendicular to AB would have form as

14x+5y =k1

Substitute (-5,-10) to get k

14(-5)+5(-10) =k1

Or k1 = -120

Hence equation is 14x+5y = -120

You might be interested in

A letter is drawn at random from the word MATHEMATICS .Find the probability that the letter is vowel given that it appears only

Lapatulllka [165]

It should be 1 over 2 or 1 over 11 but im pretty sure its the first one I picked

5 0

4 years ago

Which of these is a complex number? <br><br> A. <br><br> B. <br><br> C. <br><br> D.

Step2247 [10]

Answer:

option D

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - $\frac{9}{\sqrt{7} }$

2 - $\frac{1}{\sqrt{11} }$

9 + $3\sqrt{\frac{5}{2} }$

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

A Complex Number is a combination of a Real Number and an Imaginary Number

<h3>Example </h3>

a + ib

where a is real number

b is imaginary number

i is 'lota' which is √-1

<h3>So according to the definition above </h3>

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$ is complex number in which

$\frac{8}{3}$ is real part

$\sqrt{\frac{7}{3} } \sqrt{-1}$ = $\sqrt{\frac{7}{3} } i$ is the imaginary part

7 0

4 years ago

X+4/6=2/3+x-1/4 slove for X

Blababa [14]

Answer:

No solution

Step-by-step explanation:

x + 2/3 = 2/3 + x - 1/4

x = x - 1/4

0 ≠ -1/4

7 0

4 years ago

what is the volume of the cone? use 3.14 for pi and round to the nearest hundredth. do not enter units

Free_Kalibri [48]

Answer:

Volume = PI * radius^2 * height / 3

Volume = PI * 9^2 * 6 / 3

Volume = 3.14 * 162

Volume = 508.68

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

6 0

3 years ago

What is the equation of the

kati45 [8]

Answer:

y = $\frac{1}{3}$ x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$ , then

y = $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

to find c substitute (3, 5 ) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = $\frac{1}{3}$ x + 4 ← equation of perpendicular line

6 0

2 years ago