find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b

i will give brainlest for the best answers with best explanation ​

Answers

Answer 1

Answer:

a = - 3, b = - 8

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 )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

------------------------------------------------------------------

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8


Related Questions

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.

Answers

Answer:

You need more information for this question to be solved.

Step-by-step explanation:

Are any of the variables given?

Write 5×100+9×1+3×1/100+7×1/1000 in standard form

Answers

Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

find the unit rate for this problem


45 tacos for 15 people ______ to is per person


No link please!!!​

Answers

Answer:

45/15 = 3

Step-by-step explanation:

3 tacos per person

Answer:

3 tacos for 1 person

Step-by-step explanation:

45 tacos / 15 people

Divide the top and bottom by 15

(45/15)   / ( 15/15)= 3/1

3 tacos for 1 person

What is the nth term rule of the lines
5, 8, 11, 14, 17....
Tn​

Answers

I think the answer is 3n+2.

Answer:

3n+2

Step-by-step explanation:

Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?

Answers

Answer: 3 pounds

Step-by-step explanation:

brainliest me

Answer:

3

Step-by-step explanation:

14.04 divided by 4.68 is 3

What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY

Answers

Answer:

D) (4, -6, -1)

BRAINLIEST
Two questions to solve
Please no trolling

Answers

Answer:

Step-by-step explanation:

question 13:

the triangle with x is a 30-60-90 triangle which means

x= 17√3

then the traingle with y and z is a 45-45 triangle

z=34

y= 34√2

question 14:

x= 18√3

z=9

y= 18

two and twenty-seven hundredths

Answers

Twenty=20Twenty seven hundred hundreths=2700

Actual number

[tex]\\ \sf\longmapsto 202700[/tex]

Number in words=two hundred and two thousands and seven hundreds

Plzzzzzz help one more time​

Answers

D
Non linear means not a straight line

(6x + 7) + (13x + 21) = 180
x =

Answers

Answer:

Step-by-step explanation:

x=4

What is 564.2+3.006-1.6?

Answers

Answer:

565.606, is shown step by step in the picture

What substitution should be used to rewrite x10−13x5+12=0 as a quadratic equation?

u=x10

u=x2

u=x5

u=x20

Answers

Answer:

C

Step-by-step explanation:

put x^5=u

Answer:

[tex]u=x^{5}[/tex]

Step-by-step explanation:

[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]

the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem

Answers

Answer:

y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed

Step-by-step explanation:

in this equation:

weight= t(months) + 7

this is an equation written as y=mx +b

in a line equation like this b is the y intercept , or the y value when x=0

in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn

Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food

Answers

Answer:

I think youre trying to ask the weight of one of the bags

Step-by-step explanation:

the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10

Answers

the answer is D. Hope this helps

11/12 x 24 + 16/3 - 9/4 =

Answers

Answer:

301/12

Step-by-step explanation:

Determine the measure∠d.

Answers

14°is the correct answer.

Please mark my answer as brainest and follow me to get the answer faster

Answer:

∡d  = 83°

Step-by-step explanation:

∡d is 180 - 97 = 83°

∡d and the 97° angle are supplementary, meaning their sum is 180 degrees

Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?

Answers

EFD the the nearest number balance it to 12/15

A digital music service sells 12 songs for $9. 96. At this rate, how many songs can you purchase for $4. 15?.

Answers

The amount of songs you can purchase for $4.15 is 5 songs as 1 song is $0.83 and 5 will be $4.15

Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?

Answers

Answer:

$21.00

Step 1- Solve 40% of $15.00

=$6.00

Step 2- Add the 40% to the discount amount

=$6.00+$15.00=$21.00

A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?​

Answers

This I think could be technically answered in a couple of ways. Fill the 4 gallon bucket up and then fill the 7 gallon bucket up 1/7 of the way. Or fill the 4 gallon bucket up and transfer to the 7 gallon bucket and fill the 4 gallon bucket up 1/4 of the way. Either way the 1/4 or the 1/7 will be a close estimate to get your 5 gallon bucket. I hope this helps.

HELPPPP PLS!! TY

Look at triangle ABC.

Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.

What is the length of side AB of the triangle? (1 point)

Square root of 6

3

Square root of 18

6

Answers

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.

Answers

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

find the percentage change and classify as an increase or decrease

2004 cost: $18.77
2006 cost: $19.17

Answers

Answer:

this is 2% increase

Step-by-step explanation:

to find percent change,

big - small

---------------

original

19.17-18.77

-------------- = 0.021

18.77

round: 0.02 or 2%

( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?

Answers

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

Please help I've never been more confused

Answers

Step-by-step explanation:

2.

Two pairs of corresponding angles

i. angle C angle D

ii. angle G angle F

Two pairs of alternate angles

i. angle B angle D

ii. angle H angle F

Two pairs of interior angles

i. angle C angle H

ii. angle D angle E

Kim kardashian weight lifts 150N. Her muscles use 100J of energy. Calculate the distance she moves her weight

Answers

Answer:

2/3 meters

Step-by-step explanation:

Work=Force*Distance

we can also say:

Distance=Work/Force

Distance=100j/150N

D=2/3 meters

The distance she moves her weight is 2/3 meters.

What is energy?

Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Given, Kim Kardashian weight lifts 150N.

Her muscles use 100J of energy.

We know work = force×distance.

∴ 100 = 150×distance.

distance = 100/150.

distance = 2/3 meters.

learn more about force here :

https://brainly.com/question/13191643

#SPJ2

At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?

Answers

Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.

Answers

Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.

An increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem:

The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 16(1 + 0.02)^t[/tex]

[tex]A(t) = 16(1.02)^t[/tex]

It will be 30 million after t years, for which A(t) = 30, hence:

[tex]A(t) = 16(1.02)^t[/tex]

[tex]30 = 16(1.02)^t[/tex]

[tex](1.02)^t = \frac{30}{16}[/tex]

[tex](1.02)^t = 1.875[/tex]

[tex]\log{(1.02)^t} = \log{1.875}[/tex]

[tex]t\log{1.02} = \log{1.875}[/tex]

[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]

[tex]t = 31.7[/tex]

It will take 31.7 years for the state's population to be of at least 30 million people.

A similar problem is given at https://brainly.com/question/14773454

given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?

Answers

Answer:

-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6

All the numbers

Step-by-step explanation:

A rational number is a number that can be expressed as in a fraction or decimal (m/n form)

All numbers above can be defined.

A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.

It is a rational number.

-14.5 = -145/10

It is in the form of p/q.

It is a rational number.

-2 = -2/1

It is in the form of p/q.

It is a rational number.

-2/3 = -2/3

It is in the form of p/q.

It is a rational number.

0 = 0/1

It is in the form of p/q.

It is a rational number.

19 = 19/1

It is in the form of p/q.

It is a rational number.

15 = 15/1

It is in the form of p/q.

It is a rational number.

20 = 20/1

It is in the form of p/q.

It is a rational number.

1/6

It is in the form of p/q.

It is a rational number.

We see that all the numbers given are rational numbers.

Thus,

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

Other Questions
Which of the following is a good way to prevent tonsillitis? S. aureus is gram positive. What differences in strains might account for differences in phage susceptibilities? Fill in the blank: Based on these insights, you create a clear and direct _____, which will guide your data story. A family buys a studio apartment for 120,000. They pay down payment of 18,000.A. Their down payment is what percent of the purchase price?B. What percent of the purchase price would a 48,000 down payment be? importance of change management in an organisation 1. write a mathematical expression that explains the following sentence:The sum of 4 and d, then multiply the result by 2 i need help please no bots Macy gave her dog a treat each time she came to Macy when she called her by name. Soon the dog came every time Macy called the dog by name. This is an example of: A chamber contains equal molar amounts of ch, ch, and h. If the total chamber pressure is 5. 00 atm, then the partial pressure of ch is:. The measures of angles x and y in the above figure is: What sets blockchain solutions apart from conventional record-keeping solutions? Some animal species are divided into whatA.varietiesB.sub species C.identical speciesD.twin species Are bath bombs pure substances or mixtures 14 Write important qualities of Souza's painting The Landscape in Red? a United States senator serves a term of How did Glotto show the emotion in the piece above? Which of the following is an element of the "wraparound approach"?O establishing an emotional support teamO establishing a process planning teamO establishing a coping mechanism building teamestablishing an evaluation and analysis team A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x Jaden has a number of baseball cards. He has 35 more than his brother, who has 52. how many cards does Jaden have?What is the unknown number? _______________Equation: __________ n = _____ President Roosevelt delivered this speech to Congress on January 6, 1941, at a time when the U.S. had not officially entered World War II. Given the historical context, which of the following best explains Roosevelt's emphasis on these four specific freedoms?A. He wanted to end World War II before the U.S. became involved.B. He believed that people were being oppressed throughout the world.C. He wanted to prevent the U.S. from entering World War II.D. He believed that other nations should adopt the U.S. Bill of Rights.