All categories

3 years ago

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

The equation of the line would be y = -2x + 10

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = -2(x - 1)

y - 8 = -2x + 2

y = -2x + 10

You might be interested in

Tan(pi/2) = A)1 B) -1 C)0 D) Undefined

Alexus [3.1K]

Answer:

D) Undefined

Step-by-step explanation:

$\tan \: \bigg( \frac{\pi}{2} \bigg) = \infty \: or \: undefined\\$

5 0

3 years ago

Math help please What is the length of AC¯¯¯¯¯ ?

irina1246 [14]

Answer:

AC = 6

Step-by-step explanation:

given ∠A = ∠C then triangle is isosceles with BC = AB, hence

3x - 8 = x + 4 ( subtract x from both sides )

2x - 8 = 4 ( add 8 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

⇒ AC = x = 6

7 0

3 years ago

7 3/4 write as a decimal

Ad libitum [116K]

Answer:

7.75

mark me brainlest

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Darya and Kana are both practicing to swim in a

alexandr402 [8]

Answer:

45.7 s

Step-by-step explanation:

Darya:

Number of laps = 13

Average time per lap = 23.5 seconds

Total time to swim 13 laps = Number of laps × Average time per lap

= 13 × 23.5

= 305.5 seconds

Kana:

Number of laps = 10

Average time per lap = 25.98 seconds

Total time to swim 10 laps = Number of laps × Average time per lap

= 10 × 25.98

= 259.8 seconds

It took longer for Darya to swim

13 laps than for Kana to swim 10 laps.

How much longer?

= 305.5 seconds - 259.8 seconds

= 45.7 seconds

7 0

3 years ago

The equation of line WX is 2x+y=-5. What is the equation of a line perpendicular to line WX in slope-intercept form that contain

Karo-lina-s [1.5K]

Answer:

see explanation

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 )

Rearrange 2x + y = - 5 into this form by subtracting 2x from both sides

y = - 2x - 5 ← in slope- intercept form

with slope m = - 2

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = - $\frac{1}{2}$ , hence

y = $\frac{1}{2}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (- 1, - 2) into the partial equation

- 2 = - $\frac{1}{2}$ + c ⇒ c = - $\frac{3}{2}$

y = $\frac{1}{2}$ x - $\frac{3}{2}$ ← equation in slope- intercept form

6 0

3 years ago