Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.

Answers

Answer 1

Answer:

d = 12c-12a+b

Step-by-step explanation:

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:

m = y2-y1/x2-x1

Given the coordinates  (a,b) and (c,d) and slope m = 12

Substitute into the formula as shown:

m = d-b/c-a

12 = d-b/c-a

Make d the subject of the formula:

12 = d-b/c-a

cross multiply

12(c-a) = d-b

12c-12a = d-b

add b to both sides

12c-12a + b = d-b+b

12c-12a + b = d

Hence d = 12c-12a+b


Related Questions

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

y = (x +
)2 +

Answers

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

What is the vertex form?

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

[tex]y = (x + 3)^2 + 1[/tex]

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087

Find its notation:
(x +6, y + 3)

Answers

Answer: i know the answer but i cant write it all on here

Step-by-step explanation:

The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

Berries : Oranges = 10 : 1

Let the number of berries = x

10 : 1 = x : 25

Product of means = 1*x = x

Product of extremes = 10 * 25 = 250

Product of means =  product of extremes

          x = 250

250 berries

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.

Answers

This question is Incomplete

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?

Answer:

9 cm

Step-by-step explanation:

The depth of snow = 10cm

Rate of melting = 1/3 cm per hour

1 hour = 1/3 cm

3 hours = x cm

Cross Multiply

= 3 hours × 1/3cm = 1 hour × x cm

x cm = 3 hours × 1/3cm/1 hour

x cm = 1 cm

Hence in 3 hours, 1 cm of snow would have melted.

Therefore, the depth of the snow on Cherry Street after 3 hours is

10cm - 1 cm

= 9 cm

Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?​

Answers

There is a 62% chance that the person will not be worried about money.

ILL GIVE BRAINLIST IF RIGHT ASAP

Answers

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

a What fractions can you find that are equivalent to 2/3?

Answers

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\

Answers

Answer:

$36.9735831

rounded: $36.97

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice the length of the shorter side. Write and solve and inequality to determine the maximum length of the shorter side of the fence.

Answers

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

PLEASE HELP ME WITH THIS MATH PROBLEM FOR 26 POINTS AND BRAINLIEST AND EXTRA POINTS IF YOU GET THE BRAINLIEST FIRST!!!!! THIS IS VERY URGENT!!

Answers

Answer:

The answer is  C [ the third choice]

Step-by-step explanation:

Answer: I'm not sure what the answer is so I'd either choose :

C.) n > 6/7 or

D.) n > - 6/7

what is the answer to f(-5)=x^2-5

Answers

Answer:

32

Step-by-step explanation:

How much combined 87.8 and 17.3

Answers

Answer:

105.1

Step-by-step explanation:

87.8+17.3=105.1

Please answer the top half ASAP I need it in 2h please

Answers

Answer:

4/76/1112/1719/3010/177/1511/288/217/323/493/71/24/75/223/73/41/31/103/81/23/84/765/1688/2140/634/31/29/79/521/44

Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.

Answers

Answer:

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

Step-by-step explanation:

The number of bags of Grow Rite brand = x

The number of bags of Great Green brand = y

The equation is given as:

4x + 7y = 308....... Equation 1

5x + 6y = 330....... Equation 2

Using Elimination method.

Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2

4x + 7y = 308....... Equation 1 × 5

5x + 6y = 330....... Equation 2 × 4

20x + 35y = 1540..... Equation 3

20x + 24y = 1320....... Equation 4

Subtract Equation 3 from Equation 4

11y = 220

y = 220/11

y = 20 bags

4x + 7y = 308....... Equation 1

4x + 7(20) = 308

4x + 140 = 308

4x = 308 - 140

4x = 168

x = 168/4

x = 42 bags

The number of bags of Grow Rite brand = x = 42 bags

The number of bags of Great Green brand = y = 20 bags.

what’s the simplified value of 12.4x(-6.3)

Answers

Answer:

-78.12

Step-by-step explanation:

Answer: u just divide the small number to the big number and add and get ur answer that is -78.12

Step-by-step explanation:

If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.

Answers

Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length

Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft

Answers

Answer: the answer is no

Step-by-step explanation:

no, it is not a right triangle

Step-by-step explanation:

39 square+32.5 square=48.5 square

1,521+1056.3=2, 352.3

2577.3=2352.3

it's not the same so the result it no

5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS

Answers

Answer:

-8x + 12

Step-by-step explanation:

It is asking us to simplify.  Therefore, we multiply the terms. -4(2x - 3) =

- 8x + 12

Answer:

-8× + 12

Step-by-step explanation:

-4x (2x - 3) simplify

Apply the distributive property

-4 (2x) - 4 × -3

multiply 2 by -4

-8x -4 × -3

multiply -4 by -3

= -8x + 12

It takes 14 ppl to play a 42 minutes football game. How many ppl would it take to play a 60 minute football game

Answers

Answer:

20 people

Step-by-step explanation:

Step 1:

14/42 = x/60     Equation

Step 2:

42x = 840     Multiply

Step 3:

x = 840 ÷ 42     Divide

Answer:

x = 20

Hope This Helps :)

Answer:

20 people

42/14=3

Then, you divide 60/3=20 people

the volume of a cube is 1331 in .^3. how long is each side?


Each side of the cube is___ in. long.​

Answers

Answer

11 inches

Step-by-step explanation:

No explanation.

Solve the inequality. Q No. 1

-2(x - 5) < -x + 3

Answers

Answer:

x>7

Step-by-step explanation:

-2(x - 5) < -x + 3

-2x + 10 < -x + 3

-2x + x < 3 - 10

-x < -7

-x / -1 < -7 / -1

x > 7

Answer:

X < 7

Step-by-step explanation:

CAN SOMEPLZ HELP ME I RLY NEED HELP

Answers

There would be a total cost of 15 dollars because when you plug in 395= 24n +35 you solve for N and you end up with 360=24n and you divide by 24 and you end up with n=15

i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan ​

Answers

Answer:

kabul is yhe capital city

kabul is the capital city of Afghanistan.

select the story problem that this this division problem represents 3/4 divided by 1/3

Answers

Answer:

3/4 divided by 1/3 would equal 2 1/4 or 2.25.

The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?

Answers

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

Helppp I will give brainiest. I will have three more questions after.

Answers

Answer:

The answer is 71.4

Step-by-step explanation:

357 / 5 = 71.4

Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?

Answers

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?

Answers

the answer is 5 dimes and 1 nickel.

hope this helps <3

Answer:

4 = dimes and 2 = five cents

Step-by-step explanation:

Find the value of a

Answers

Answer:

a=60

Step-by-step explanation:

since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)

you divide the total angle number by 6: 360/6=60

a=60

hope this helps!! <3

What vocabulary words can you use to describe 36 and 27?

Answers

Answer:

Divisible by 3 and 9

Step-by-step explanation:

Answer

multiples of 3 and 9

Step-by-step explanation:

3*12=36

9*3=27

9*4=36

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