find the equation of the line passing through (3,-6) with the gradient of -1/2​

Answers

Answer 1

Answer:

2y+x+9=0

Step-by-step explanation:

eqn is given by

[tex]m = \frac{y - y1}{x - x1} [/tex]

given

[tex] - \frac{1}{2} \: as \: m[/tex]

and

[tex]{3 \: and \: - 6} \: as \: x \: and \: y \: respectively[/tex]

subtitute values into the formula

[tex] - \frac{1}{2} = \frac{y - - 6}{x - 3} [/tex]

cross multiply giving

[tex] - 1{x - 3}= 2{y + 6[/tex]

[tex] - x + 3 = 2y + 12 \\ 2y + 12 + x - 3 = 0 \\ 2y + x + 9 = 0[/tex]

Find The Equation Of The Line Passing Through (3,-6) With The Gradient Of -1/2

Related Questions

find the slope of the line

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.

does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

Is -51/5 rational or irrational

Answers

It is part of the set of real numbers alongside rational numbers. It can also be defined as the set of real numbers that are not rational numbers. When an irrational number is expanded in decimal form, it is a non-terminating decimal that does not repeat. Hope that helps!

Please.....................

Answers

Answer:

B

Step-by-step explanation:

Plz help me with this one

Answers

Answer:

5/6

Step-by-step explanation:

-5x-3=-9

Add 3 to both sides.

-5x=-6

Divide both sides by -5.

x=5/6

-5x - 3 = -9
+3 +3
———————-
-5x = -6
—— ——
-5 -5

x = 1.2

x = 6/5

Simplify the following expression.

-3m + (-2x) + 4m + 2x

Answers

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

To learn more on Rectangles click:

https://brainly.com/question/20693059

#SPJ5

The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle

Answers

Let the base be x cm,
Therefore height= 8x cm

Area of triangle = 8x(x) / 2 = 784 cm2
8x^2 = 1568
x = 14

Base = 14 cm
Height = 14x8 = 112 cm

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm

Write the following number in expanded form.

176,945,596​

Answers

Answer:

= 176,945,596

Step-by-step explanation:

100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596

= 176,945,596

(Hope this helps can I pls have brainlist (crown)☺️)

During a day a student spends 7 hours sleeping ¼ of the day studying and 1/12 of the time travelling what fraction of the day is left for other things (in fraction)

Answers

There is 24 hours in a day.

Spending 7 hours sleeping means you have 7 hours less for other things.
24 - 7 = 17

1/4 of the day is basically saying 1/4 of 24 hours, which is 6 hours.
17 - 6 = 11

1/12 of the day is basically saying 1/12 of 24 hours, which is 2 hours.
11 - 2 = 9

You have 9 hours of the day left, in fraction form being:

3/8 of the day left

Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.

Answers

Answer:

He earned 200 dollars

Step-by-step explanation:

He got a 20% profit.

can anyone help me please anyone

Answers

Answer:

x=104

Step-by-step explanation:

In case you didn't know, "m || n" means that line "m" is parallel to line "n".

Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.

Help maths please eeeee

Answers

Answer: row 4 is “14441’’

Step-by-step explanation: so first square is 4 second is 4 and third is 1

Answer:

1  4  6  4  1

Step-by-step explanation:

By summing the 2 numbers above them, as instructed , then

1 + 3 = 4 and 3 + 3 = 6

The row is then

1  4  6  4  1

how do u add and subtract rational numbers

Answers

Answer:

ration number such as 2 and 3

2 plus 3 is 5

3 minus 2 is 1

3 by 5 plus 2 by 5 is 5 by 5 which is 1

3 by 5 plus 2 by 4 take lcm and add the numerator .

(-1, 5) (3,y) m=5 whats the value of my and whats the slope <3

Answers

Answer:

slope: 5

y = 25

Step-by-step explanation:

slope is m, and m = 5, so slope is 5.

y-5=5(x+1)...........set up point slope form

y-5=5x+5............distribute 5

y=5x+10..............add 5 to both sides

y=5(3)+10............plug in 3

y=25.....................simplify

Step-by-step explanation:

I am not sure you posted the question correctly.

m is the slope already. this comes from the point slope form

y - y1 = m(x - x1)

where x1, y1 are the coordinates of a point on the line.

so, the slope is 5 (and cannot be <3).

so, using the first point we get

y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5

therefore

y = 5x + 10

for (3, y) we put 3 in as x

y = 5×3 + 10 = 15 + 10 = 25

it is (3, 25) for m = 5.

Of the houses in Kimberly's neighborhood, 5/12 are pink and another 1/3 are red. What fraction of the houses are either pink or red?

Answers

Answer:9/12

Step-by-step explanation:

You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.


Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?

Answers

Answer:

9x-10

Step-by-step explanation:

(4x+10) - (-5x+20)

Open the brackets

4x+10+5x-20

Collect like terms

4x+5x+10-20

9x-10

Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867

Answers

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

PLEASE MARK ME AS BRAINLIST

Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2

Answers

Answer:

0.2,0.3,0.11,0.12

hope that helps

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3

I hope this helps!

Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Answers

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

whT is the largest interger less then or equal to 30?

Answers

Answer:

30

Step-by-step explanation:

since it can be equal to 30 that means the answer is 30

Answer:

30

Step-by-step explanation:

if the interger can be equal to 30, it can be 30

How to factorise n(2n+1)(n+1)+n(2n+1)? I know the answer is n(2n+1)(n+2) but can someone explain every step fully, thanks:)​

Answers

Here is the answer,hope this help

we have n(2n+1)(n+1) +n(2n+1) = n(2n+1)(n+1)+n(2n+1).1

= n(2n+1)(n+1 +1) = n(2n+1)(n+2)

P/s: sorry i don't know how to explain but i can give you some example so you can understand the question easily

3x(x+1) + (x+1).2 = (x+1)(3x+2)

(5x-4).1 - (5x-4).8 = (5x-4)(1-8) = 7(5x-4)

ok done. Thank to me :>

Help me with school (math)!!!

Answers

Answer: y=-4x+7

Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

Please Explain How To Solve This

Answers

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

mark me brainliest :D

Answer:

listed below

Step-by-step explanation:

x values are domain and y values are range

1) Domain = {-2, -1, 0, 1}

Range = {-7, -5, -3, -1}

4) Domain = {5, 6, 7, 8, 9}

Range = {-3, 1, 2, 4, 5}

Which relation is not a function?
A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}
B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}
C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}
D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)}

Answers

Answer: Choice D

Explanation:

We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).

Answer:

the correct is C. because they are lines going to 2.

15.
(05.04 MC)

Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!

Answers

Answer:

82 r 8

Step-by-step explanation:

i took the flvs test and its right!

Help me I don’t understand please explain the answer to me

Answers

Answer:

a

Step-by-step explanation:

r and t are same- side exterior angles and sum to 180 , so

t + r = 180 , that is

t + 91 = 180 ( subtract 91 from both sides )

t = 89

t and u are vertically opposite angles and are congruent , so

u = t = 91

Then

t + u = 89 + 89 = 178 → a

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

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