A line passes through the point (4,8) and has a slope of -3/2

Write an equation in Ax+By=C

Answers

Answer 1

Answer:

The answer is

3x + 2y = 28

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

3x + 2y = 28

Hope this helps you


Related Questions

Victor owes a total of $44.00 to 4 different friends. If Victor owes each friend an equal amount, which
answer choice represents the change in Victor's money when he pays one friend?

Answers

Answer:

11

Step-by-step explanation:

Let x be the amount of money he owes his friends each.

4x = 44

Divide by 4 on each side

x = 11

Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?​

Answers

Answer:

729000 year it's price will Rs 729000

can someone help me please.

Answers

Answer:

A. 11.18

Step-by-step explanation:

(1, -2) will be x1 and y1.

(-9, 3) will be x2 and y2

The formula is

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute in all the variables.

[tex]\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]

Solve.

[tex]\sqrt{(-10)^2+5^2}[/tex]

[tex]\sqrt{100+25}[/tex]

[tex]5\sqrt{5}[/tex]

11.18033988.....

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

11.18 units

Step-by-step explanation:

d = distance

d = √((x2 - x1)² + (y2 - y1)²)

Where the first point = (x1, y1)
Where the second point = (x2, y2)

Points: (1, -2) & (-9, 3)

d = √((-9 - 1)² + (3 - -2)²)

d = √((-10)² + (5)²)

d = √((100) + (25))

d = √125

d = 11.18

The distance is 11.18 units








Does anyone know the answer plz ?

Answers

Answer:

false it would be something like x root 2

Step-by-step explanation:

2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2​

Answers

Answer:

The equation is y= 120x+ 635

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

how can i learn math well?

Answers

Redo the answers over and over until you understand the situation

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work

Answers

Answer:

The answer is 4.75

Step-by-step explanation:

Since six months is 28.50 then 1 month is equal to x

       28.50: 6 months

           x     : 1 month

 After this  you cross multiple so u divide by 6 both side to get 4.75

   6x/6: 28.50/6

   x=4.75

A ball is dropped from a height of 8 feet .The ball bounce to 80% of its previous height with each bounce how high does the ball bounce on the 5th bounce.

Answers

Answer:

3.2768 feet

Step-by-step explanation:

The situation can be model by h(x)=8*(4/5)^(n-1). For the 5th jump, n=5. The height will be 8*(4/5)^4=3.2768

The sum of 3 consecutive even numbers is 132

pleaase help!!!

Answers

Answer:

42,44,46

Step-by-step explanation:

we first divide the 132 by the 3 which gives 44

since the numbers involved are even numbers and we know even numbers are numbers divisible by 2 we subtract 2 from the 44 and also add 2 to the 44 the get the rest of the two numbers which is from the above explanation

(44-2),44,(44+2)

42,44,46

we can check whether the above numbers are correct by adding to see whether we get 132

42+44+46=132 which are consecutive even numbers

Answer: 42, 44, and 46

Explanation: Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even numbers here.

So we can represent our numbers as follows.

X ⇒ first even integer

X + 2 ⇒ second even integer

X + 4 ⇒ third even integer

Since their sum is 132, our equation reads x + (x + 2) + (x + 4) = 132.

Solving from here, we find that x = 42.

So x + 2 is 44 and x + 4 is 46.

Pls answer I really need help
Brainlist and thank you will be the reward thank you so much!!!

Answers

Answer:

0.667 ✅

Step-by-step explanation:

This is best solved using a proportion.

The formula is soy/vinegar = soy/vinegar where one of these is a variable.

Here we have:

[tex]\frac{150}{100} = \frac{1}{x}[/tex]

Now, we solve this by cross multiplying.

150x = 100

Dividing both sides by x, we get x = 2/3 or about 0.667.

Checking:

[tex]\frac{150}{100} = \frac{1}{0.667}[/tex]

1.5 = 1.5 ✅

I'm always happy to help :)

9.2 x 6.07 please answer with the way how you are doing

Answers

Answer:

answer of this question is 55.844

Step-by-step explanation:

may this answer is helpful for you

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

Please help! Change 3/8 to a decimal fraction.

Answers

Answer:

0.375

Step-by-step explanation:

0.125 x 3 = 0.375

Answer:

0.375

Step-by-step explanation:

3 x 125

8 x 125

=

375

1000

=

0.375

Other sample problem:

5 = 5×125 = 625 = 0.625

8         8×125         1000

Hope this helps, have a good day :)

Multiply. (2x - 3)(x + 4) a 2x² + 11x - 12 b 2x² + 5x - 12 c 2x² + 11x - 7 d 2x² + 3x - 7

Answers

Answer:

2x^2 +5x-12

Step-by-step explanation:

(2x - 3)(x + 4)

FOIL

first 2x*x = 2x^2

outer  2x*4 = 8x

inner  -3x

last -3*4 = -12

Add these together

2x^2 +8x-3x-12

Combine like terms

2x^2 +5x-12

What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?
a
-5
b
-4
с
2
d
8

Answers

Answer:

-5

Step-by-step explanation:

The coefficient is the number attached to the variable.

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

Answers

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

please help need now will give brainlest if work is shown

r÷(-8)=5

Answers

Answer:

r= -35

Step-by-step explanation:

First, move the -8 over to the other side by multiplying by -8

r=5×(-8)

r= -35

Please answer it now

Answers

Answer:

8

Step-by-step explanation:

x+37+x+37+90 = 180

2x + 74 = 90

2x = 16

x = 8

Answer:

x=8°

Step-by-step explanation:

JI is a diameter and K is on the circumference of a circle.

∴∠JKI=90°

also KJ=KI=x(say)

tan (x+37)=y/y=1=tan 45

so x+37=45

x=45-37=8°

Use the slope formula
(19,-16) (-7,15)

Answers

Answer:

-31/26

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 15 - -16)/(-7 - 19)

   = ( 15+16)/(-7-19)

    = 31/ -26

-31/26

What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3

Answers

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]

r represents radius of cylinder.

h represents height of cylinder.

So ,

r = 6 cm

h = 16 cm

π = 3.14

Substuting the values

⇥Volume of the cylinder = π r² h

⇥Volume of the cylinder = 3.14 × 36 × 16

⇥Volume of the cylinder = 113.04 × 16

⇥Volume of the cylinder = 1808.64

Hence , the volume of cylinder is 1808.64 cm²

A ship travels a distance of 700 km. On the return trip it averages 10km/hr faster and 8 hours less, tp travel the 700km back. Determine how long the original part of the trip took in hours

Answers

Answer:

The total duration of the trip is 48 hours.

Step-by-step explanation:

Let suppose that ship travels at constant speed during its travel. Each stage is represented by the following kinematic equation:

[tex]v =\frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

[tex]v[/tex] - Speed, measured in kilometers per hour.

Now, each stage is represented by the following expressions:

Outbound trip

[tex]v = \frac{700\,km}{\Delta t}[/tex]

Return trip

[tex]v + 10\,\frac{km}{h} = \frac{700\,kh}{\Delta t - 8\,h}[/tex]

By eliminating [tex]v[/tex] and simplifying the resulting expression algebraically:

[tex]\frac{700\,km}{\Delta t} + 10\,\frac{km}{h} = \frac{700\,km}{\Delta t -8\,h}[/tex]

[tex](700\,km)\cdot \left(\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} \right) = 10\,\frac{km}{h}[/tex]

[tex]\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} = \frac{1}{70}\,\frac{1}{h}[/tex]

[tex]\frac{8\,h}{\Delta t \cdot (\Delta t-8\,h)} = \frac{1}{70}\,\frac{1}{h}[/tex]

[tex]560\,h^{2} = \Delta t\cdot (\Delta t - 8\,h)[/tex]

[tex](\Delta t )^{2}-8\cdot \Delta t - 560 = 0[/tex]

This equation can be solved by means of the Quadratic Formula, whose roots are presented below:

[tex]\Delta t_{1} = 28\,h[/tex] and [tex]\Delta t_{2} = -20\,h[/tex]

Only the first roots offers a physically resonable solution. Then, total duration of the trip is:

[tex]t_{T} = 28\,h +20\,h[/tex]

[tex]t_{T} = 48\,h[/tex]

The total duration of the trip is 48 hours.

ranika wanted her friend radhika's mobile number. but radhika played a trick. she gave her the number as 9 X Y Z P 1 Q 2 R 3

Answers

Answer:

Ranika should have known since the series of letters and numbers Radhika gave her don't make out to be a legal phone number.

Step-by-step explanation:

Simplify the expression in simplest form (3x - 5)x4 +2

Answers

I think it’s 12x-22.

Answer:

12x-8

Step-by-step explanation:

We can use PEMDAS to solve this expression.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

The first step to do is use the distribute property to simplify the parenthesis.

The second step will be to simplify the exponent, but there aren't any so we can skip that step.

The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.

The fourth step will be to add -20 with 2. We then get -18.

And finally, we have our answer

(3x - 5)x4 +2

12x-20+2

12x-18

Part b. is the second part of this question.

If you could explain to me or answer, I'd really appreciate it. This is sort of urgent, so I'd need to get it done soon. Thank you.

Answers

Answer:

I have tried but I can't sorry friend

6.8 - 4.2b = 5.6b - 3

Answers

Answer: b = 1

Step-by-step explanation:

Given

6.8 - 4.2b = 5.6b - 3

Add 4.2b on both sides

6.8 - 4.2b + 4.2b = 5.6b - 3 + 4.2b

6.8 = 9.8b - 3

Add 3 on both sides

6.8 + 3 = 9.8b - 3 + 3

9.8 = 9.8b

Divide 9.8 on both sides

9.8 / 9.8 = 9.8b / 9.8

[tex]\boxed{b=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

B=1 !!!! Hope you got that right

Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or

Answers

Answer:

[tex]Speed = 159.4\ km/hr[/tex]

[tex]Speed = 2.6\ km/m[/tex]

Step-by-step explanation:

The question has missing details; However, the given parameters are

[tex]Speed = 99\ miles/hour[/tex]

Required

Determine the speed in

- kilometre per hour

- kilometre per minute

From the question; we have that

[tex]1\ mile = 1.61\ kilometers[/tex]

[tex]1\ hour = 60\ minutes[/tex]

[tex]Speed = 99\ miles/hour[/tex] can be rewritten as

[tex]Speed = \frac{99\ miles}{hour}[/tex]

It can be further expressed as

[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]

Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'

So;

[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

[tex]Speed = 159.39\ kilometres/hour[/tex]

[tex]Speed = 159.4\ km/hr[/tex] -- Approximated

Solving further to get kilometre per minute equivalent

[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]

This can be rewritten as

[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]

Recall that [tex]1\ hour = 60\ minutes[/tex]; So,

[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]

[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]

[tex]Speed = 2.5565\ kilometres/minute[/tex]

[tex]Speed = 2.6\ km/m[/tex] --- Approximated

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

please help you can answer it by saying something like option 3 or option 2 that would be ok ​

Answers

Answer:

maby option 5

Step-by-step explanation:

What is the simplified sum of 3x/x-4 + x-3/2x

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-1 - 1/2x

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

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

Make them into common denominators. To do so, multiply by the LCM of the denominators. The LCM of the denominators is (x-4)(2x). Thus, we multiply 2x to the first term and (x-4) to the second:

[tex](\frac{2x}{2x}) \frac{3x}{x-4}+(\frac{x-4}{x-4}) \frac{x-3}{2x}[/tex]

Simplify:

[tex]\frac{6x^2}{2x(x-4)}+\frac{x^2-7x+12}{2x(x-4)} \\=\frac{7x^2-7x+12}{2x(x-4)}[/tex]

And this cannot be simplified further (you can also distribute the denominator if preferred).

Figure A is a scale image of Figure B. What is the value of x?

Answers

Answer:

x=30

Step-by-step explanation:

to find the value of x you have to find K(constant number).

[tex]\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\ 3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30[/tex]

Answer:

The value of x is 30

Step-by-step explanation:

Step 1: Find the scale factor

[tex]\frac{FA}{F B} =\frac{45}{27}[/tex]

Step 2: Use the scale factor to solve for x

[tex]\frac{45}{27} =\frac{x}{18}[/tex]

[tex](45)(18) = 27x[/tex]

[tex]810 = 27x[/tex]

[tex]x = 30[/tex]

Therefore x = 30

Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part B
What is the value of the expression when b = 2 and c = -3?

Answers

Answer:

8

Step-by-step explanation:

-4(2)+8(-3)+12-8(2)-2(-3)+6=-8-24+12-16+6+6=8

Answer:

-24

Step-by-step explanation:

-4b + 8c + 12 - 8b - 2c + 6

Combine like terms

6c+18-12b

Let b=2  c=-3

6(-3) +18-12(2)

-18 +18 -24

-24

Other Questions
look at the image below On January 1, 2021, Splash City issues $320,000 of 8% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. Required:Assuming the market interest rate on the issue date is 8%, the bonds will issue at $320,000. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.) Subtract these polynomials.(3x2 2x + 5) (x2 + 3) = Why was the Erie Canal important? Check all of the boxes that apply. It ran among all the Great Lakes. It connected New York City with the Great Lakes. It proved that the steam locomotive could work. It increased the amount of goods shipped in and out of the Northwest Territories. It turned New York City into an important trading port. Identify a feature of epic poetry in the passage 8(-7+n)=-128 please help QUESTION 6 . 1 POINT$12,000 is invested at 6.8% compounded continuously. After how many years, to the nearest hundredth, will it be worth$36,230?Provide your answer holom What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1) WHAWhich of the following statements would most likely have been spoken by a Democrat during the Jacksonian era?In this tuta.) "We are convinced that the national bank is popular with voters, and the president should bend to the willof the people."platformathe nationOanger contrenew theb.) "A national bank is an institution that exists only for the benefit of elite businessmen and merchants."Jackson adAmerican pac.) "The government's right to establish a national bank is supported by the Constitution and is necessary fornational economic stability."Our discussid1. The Bank2. The Bankd.) "Our party grew out of opposition to Andrew Jackson and his policies."3. The After4. Whigs5. Rise of theSUBMIT MY ANSWER1. The Banks Suppose that one states license plates consist of 1 digit followed by 4 letters followed by 2 digits. How many such plates can the state issue? Write as an equation: The sum of a number and 12 is 78. What does benethas hair most likely symbolize? Raisin in the sun How are pH and pOH ?A. pH = 14 + pOH B. pOH = 14 - pH C. pOH = 14 + pH D. pH = 14 - pOH Nepals HDI is quite low how can it be upgraded. Suggest some ways 0.7Two adjacent angles are equal. Is it necessary that each of these angles will beright angle? Justify your answer. 32.What is the value of x for DEF?HELP! Answer if you can!! a is less than or equal to 10 Lmk Activity 12-5: A Dihybrid Punnett Square. Consider your answers in the previous question. In a separate piece of paper, solve the Punnett square for a cross between two heterozygous individuals (BbRr x BbRr); write the genotypes of the gametes along the top and the side of the square and fill in the squares. Kate is in the 15% tax bracket and has $29,000 available for investment during her current tax year. Assume that she remains in the same tax bracket over the next 11 years, and determine the accumulated amount of her investment after taxes if she puts the$29,000 into the following. (Round your answers to the nearest cent.)(a) a tax-deferred annuity that pays 4%/year, tax deferred for 11 years$ (b) a taxable instrument that pays 4%/year for 11 years All the following are ways by which animals help to sustain the carbon cycle except A when they die, they decompose to release carbon atoms B. feeding directly or indirectly on plants C. drinking water from streams and ponds D. breathing