All categories

3 years ago

Find the equation of the line described.

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

y = - $\frac{1}{3}$ x + $\frac{19}{3}$

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

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

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

To find c , substitute (4, 5) into the partial equation

5 = - $\frac{4}{3}$ + c ⇒ c = 5 + $\frac{4}{3}$ = $\frac{19}{3}$

y = - $\frac{1}{3}$ x + $\frac{19}{3}$ ← equation of perpendicular line

You might be interested in

3x^5+6x^3 PRIME b 3x^4(3x + 2) 3(x^5 + x^3) d 3x^3(x^2 + 2x)

Gelneren [198K]

Answer:

Im guessing 33(2+2)

8 0

3 years ago

What is x over 2+ 4<7

N76 [4]

x/2 + 4 < 7

multiply both sides by 2
x/2 * 2 + 4 * 2 < 7 * 2
which equals
x + 8 < 14
subtract 8 from both sides
x + 8 - 8 < 14 - 8
x < 6

4 0

3 years ago

18 divide by 2 * 3/5-2 simplify show all work

liraira [26]

Answer:

Step-by-step explanation:

I would guess it looks like this - if not then tell me

$\frac{18}{ \frac{2 \times 3}{5 - 2} }$

2×3=6

5-2=3

Then there's only

$\frac{18}{ \frac{6}{3} }$

Which is equal to

$\frac{18}{1} \times \frac{3}{6} = \frac{54}{6} = \frac{9}{1} = 9$

6 0

3 years ago

Read 2 more answers

Translate the following sentence into an algebraic inequality: Three times a number, v, added to eight is greater than or equal

Kazeer [188]

Hi there!

»»————-　★　————-««

I believe your answer is:

$3v + 8 \geq 22$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22$

$\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago

I'm stumped. Honestly. Please help

Ugo [173]

Answer:

1: Tip, $2.23

2: Tax, $0.74

3: Total, $17.87

4: Split, $5.95

Step-by-step explanation:

To find the tip, you must multiply the tip percentage by the bill, (which has not been taxed yet). The tip is 15%, which is equivalent to 0.15. The tip multiplied by the bill (0.15×14.90) equals $2.23.

To find the tax, you do the same as you did with the tip. The tax is 5%, which equals 0.05. The tax multiplied by the bill, (0.05×14.90) equals $0.74. The total cost is the bill, tip, and tax added together, (14.90+2.23+0.74) equals $17.87. To find out how much each person will pay equally, you must divide the total bill by the amount of people, (17.87÷3) which equals $5.95.

8 0

3 years ago