What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21?

Answers

Answer 1

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0


Related Questions

What is a solution of the equation x + y = 7?

A)3,3
B)1,6
C)5,-2
D)2,4

Answers

Answer:

b

Step-by-step explanation:

plug in 1 for x and 6 for y

1 + 6 = 7

xoxo, your highness...

solve for x.show your work please

- 1/2x < -12

Answers

Answer:

x <24

Step-by-step explanation:

first cancel negative signs

then transfer 2 to right side

Greetings.

The answer is x > 24.

Explanation:

Solving Inequality is almost the same as equation. However, you have to know one thing about solving an Inequality.

That is whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality.

[tex]-\frac{1}{2}x<-12[/tex]

Reminder that

[tex]-\frac{1}{2}x=-\frac{x}{2}[/tex]

We use negative x above 2 instead (Easier in solving)

[tex]-\frac{x}{2}<-12[/tex]

Then we move 2 to divide -12.

[tex]-x<-12(2)\\-x<-24[/tex]

Because the coefficient for x is in negative. We move -1 to divide -24 as we get 24 (Because negative divide negative = positive)

But remember that "whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality."

So we change from < to > instead.

[tex]x>24[/tex]

7x-2+4x+5x-10=180


what is the measure of 4x

Answers

Answer:

1) 7x-2+5x-10=180

2)16x-2-10=180

3)16x - 12 = 180

16x=192

x=12

What is the measure of this

Answers

Answer 21
Explanation: a triangles angels equals 180 in total so you would add the two angles you already know 117 plus 42 which equals 159. Then subtract from 180 which would be 21 your answer!

Hope this helps :)

Solve 2x>8 or 2x< 4. ​

Answers

Answer:

2x=8

x=8/2

x=4

2x=4

x=4/2

x=2

helppppppansjfnnsnwkgn

Answers

Answer:

the third one P N M

Step-by-step explanation:

Answer:

NPM

Step-by-step explanation:

i got you fammmmmmmmm

Sofia exchanged 1,000 US dollars for the currency of South Africa, which is called the rand. The exchange rate was 7.45 rand to $ 1.

Part 1 of 2
How many South African rand did Sofia get? Explain how you know.

For every $ 1 that Sofia exchanges,____ she received _____
rand. So, you multiplied $ 1,000 ×______=?
. Sofia got _____
rand.

Answers

For every one dollar, she gets 7.45 rand, she received $7450
1000x7.45

find the slope of the line through each pair of points ( -5, 10) , (-16, 8)

Answers

Answer:

-2/-11 or 2/11

Step-by-step explanation:

8-10=-2

-16--5=-11

-2/-11

change 5 out of 19 to one decimal place
change 72 out of 123 to one decimal place

Answers

Answer:

6

Step-by-step explanation:

i will give brainilist to the first person who wants to do my delta math

Answers

what's ur username lol

Solve in simultaneou linear equation.
The total cost of bag and an umbrella is Rs 2000.If the cost of the bag is Rs 1000 less five times the cost of the umbrella ,find the cost of each of these two items.

Answers

Answer:

The bag costs 1500, while the umbrella cost 500

Step-by-step explanation:

Let the cost of the bag be b and the cost of the umbrella be u

Total cost is;

b + u = 2,000 •••••(i)

From the second part of the question;

b = 5u-1000 ••••••(ii)

Substitute ii into i

5u-1000 + u = 2000

6u = 2000 + 1000

6u = 3000

u = 3000/6

u = 500

To get b, substitute the value of u into equation ii

b = 5(500)-1000

b = 2500-1000

b = 1500

Paul joins a gym that has an initial membership fee of $75 and a monthly cost of $40. How much will they have paid after 4 months? *

Answers

$235 total. 75 + 40(4). then simplify. 75 + 160 = 235

what is 6 to the 3rd power divided by 6 to the 5th power

Answers

the answer to you question is 0.02777778
your welcome

Answer: = 1/36

Step-by-step explanation:

3. Point P(2, -1) is the image of point
P(3, 4) under a translation. What
is the image of (5,2) under the
same translation?
A(4, -1)
B (6,-3)
C(4, -3)
D (-3, 4)

Answers

the answer is c!! :)

y2 – x2 = 16 please help

Answers

-8
Because x - y = -8

50.2 x 1 10² tenths equal?

Answers

Answer:

607,420

Step-by-step explanation:

hope it is correct and helps

How do I find the measure of angle H?

Answers

Answer: 110 degrees

Step-by-step explanation:

Similar polygons have the exact same angles. So we can fill in 60 for angle E, because it matches up with angle A.

The angles in a quadrilateral add to 360 degrees.

So 60 + 100 + 90 + Angle H = 360

If we solve for angle H, we get that angle H = 110 degrees.

What is another way to express 48 + 32?

(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)​

Answers

Answer:d

Step-by-step explanation: tufryvztgv

Answer: Its B. not D the other person was off and probably doesn’t know how to math lol

The worst feeling in the world: Getting earbuds ripped out of your ears. Whats yours?

Answers

Answer:

When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:

Mood killer

Answer:

being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general

Step-by-step explanation:

The people are: Frank, Ruby, Tom, and Wendy

The cost of their food: $5.99, $6.99, $7.99, $8.99

Each person bought a different food item: banana, apple, mango, and grapefruit

Each person also bought a different drink: milk, green tea, water, and iced tea



See if you can match the person with the cost of their meal, food and drink. I will give you two free answers. The first one is Tom paid 8.99. The second one is Ruby had the grapefuit.



1. The person who had the milk paid $1 more than Wendy.
2. Ruby paid more than the person who had the milk.
3. The person who ordered the banana was either the person who had the milk or the
person who paid $5.99.
4. The four friends were the person who paid $8.99, the person who ordered the
apple, the person who ordered the grapefruit, and Wendy.
5. Tom paid $1 more than the person who ordered the grapefruit.
6. The person who ordered the grapefruit paid $2 more than the person who had the water.
7. The person who paid $7.99 was either the person who had the iced tea or the person who
had the water

Group of answer choices
wendy (cost)

[ Choose ]
wendy (drink)

[ Choose ]
wendy (food)

[ Choose ]
frank (cost)

[ Choose ]
frank (drink)

[ Choose ]
frank (food)

[ Choose ]
ruby (cost)

[ Choose ]
ruby (drink)

[ Choose ]
ruby (food)

[ Choose ]
tom (cost)

[ Choose ]
tom (drink)

[ Choose ]
tom (food)

[ Choose ]

Answers

Answer:

yo it took me 3 tires and 15 minutes, but i got it. like 5 seconds ago

Step-by-step explanation:

okay one is wrong this an 11/12, but i sped thru it to get the answers, you have to figure out which is incorrect

wendy

(cost)

5.99

wendy

(drink)

water

wendy

(food)

banana

frank

(cost)

6.99

frank

(drink)

milk

frank

(food)

apple

ruby

(cost)

7.99

ruby

(drink)

iced tea

ruby

(food)

iced tea

tom

(cost)

8.99

tom

(drink)

green tea

tom

(food)

mango

Wendy (cost) = $7.99

Wendy (drink) = water

Wendy (food) = banana

Frank (cost) = $6.99

Frank (drink) = iced tea

Frank (food) = apple

Ruby (cost) = $8.99

Ruby (drink) = milk

Ruby (food) = grapefruit

Tom (cost) = $5.99

Tom (drink) = green tea

Tom (food) = mango

Based on the given information and the provided clues, we can match the people with the cost of their meal, food, and drink as follows:

wendy (cost) = $7.99

wendy (drink) = water

wendy (food) = banana

frank (cost) = $6.99

frank (drink) = iced tea

frank (food) = apple

ruby (cost) = $8.99

ruby (drink) = milk

ruby (food) = grapefruit

tom (cost) = $5.99

tom (drink) = green tea

tom (food) = mango

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

(30 points!) Powers of i worksheet

Answers

Answer:

x+7=14

x=7

(7)+7=14

Step-by-step explanation:

HELP THIS IS DUE TODAY!

Answers

Answer:

I think its B

Step-by-step explanation:

I hope it helps

What is the slope in the equation? y + 2 = 5(x - 1)​

Answers

Answer:

m=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Let's write the equation in the slope-intercept form by solving for y.

y + 2 = 5(x - 1)

y = 5x - 5 - 2

y = 5x - 7

Answer: The slope is 5

PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?

Answers

What do you mean by ( ,11)?

Answer: 4

Step-by-step explanation:

You mix soda water, fruit punch concentrate, and ginger ale in a ratio of 1:2:5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch

Answers

I don’t understand sorry

Answer:Fruit punch conertrat is 8

Step-by-step explanation: I did it and got 8 for fruit punch c

What is an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14?

Answers

Answer: y = -1/2x -4

Step-by-step explanation:

Parallel lines have the same slope.

So first let’s find the slope of that given line.

x + 2y = 14

2y = -x+14

y = -1/2x + 7

The slope of our parallel line then will be -1/2.

Now let’s use the point they gave us to get “b” so we can finish the problem.

y= -1/2x + b

plug in (-8,0) so -8 for x and 0 for y

0 = -1/2(-8) + b

0 = 4 + b

b = -4

done!

An equation of the line that passes through the point (-8,0) and is

parallel to the line x + 2y = 14 is 2

Equation of a line

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)m is the slope(x1 y1) is the point on the line

Given the equation

x + 2y = 14

2y = -x + 14

y = -1/2x + 7

Slope of the line is -1/2

Substitute the point (-8, 0) and m = -1/2 into the formula

y - 0 = -1/2 (x+8)

2y = -x - 8

2y + x = -8

Hence an equation of the line that passes through the point (-8,0) and is

parallel to the line x + 2y = 14 is 2y+ x = -8

Learn more on equation of a line here: https://brainly.com/question/19417700

The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.

Answers

Answer:

15.625 grams

Step-by-step explanation:

The decay is First order reaction

The half life of the first order reaction is given by

T(1/2)  = ㏑2/K

where K is the reaction constant for the first order reaction

T(1/2) = 2

2 = ln 2 /K

K = ln2/2

The equation of the first order reaction is given by

Kt = ln ([tex]\frac{Ro}{R}[/tex])

where

t = time = 10years

Ro = initial concentration

R = amount left after time t

upon substituting the values

[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]

5ln2 = ln (500/R)

ln [tex]2^5[/tex] = ln (500/R)          (a*lnb = ln[tex]b^a[/tex])

[tex]2^5 = 500/R[/tex]

R = 500/32  = 15.625grams

Therefore the amount of pesticide left after 10 years is 15.625grams

What angle pair relationship is shown?
A Alternate Interior
B. Alternate Exterior
C. Corresponding
D. Same Side Interior

Answers

Answer:

hmmmmmmmmmmmm ( thanks heavily in mind) if I can remember correctly I'm pretty sure it would be c

Step-by-step explanation:

I done this question for

Solve: x^2-x-6=0
Show your wrok

Answers

Answer:x=-2

or

x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0x=-2x-3=0x=3.

Evaluate and simplify the following complex fraction.

Answers

Answer:

Thus,

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]=\frac{\frac{2}{3}}{-\frac{4}{9}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]

[tex]=-\frac{\frac{2}{3}}{\frac{4}{9}}[/tex]

[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=-\frac{2\cdot \:9}{3\cdot \:4}[/tex]

[tex]=-\frac{18}{12}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:6[/tex]

[tex]=-\frac{3}{2}[/tex]

Thus,

[tex]\frac{\frac{2}{3}}{\frac{4}{-9}}=-\frac{3}{2}[/tex]

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