Write an equation in point slope form that is parallel to AB with endpoints A (2, -1) and B (4, 5) that goes through the point (1.5, 4)

Answers

Answer 1

Answer:

[tex]y = 3x - 0.5[/tex]

Step-by-step explanation:

Given

Goes through

[tex]C = (1.5,4)[/tex]

Parallel to AB

[tex]A = (2,-1)[/tex]

[tex]B = (4,5)[/tex]

Required

Determine the line equation

First, calculate the slope of AB

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5--1}{4-2}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m = 3[/tex]

The line is said to be parallel to AB. This implies that their slopes are equal.

The equation of the line is then calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

Where:

[tex](x_1,y_1) = (1.5,4)[/tex]

So:

[tex]y = 3*(x - 1.5) + 4[/tex]

[tex]y = 3x - 4.5 + 4[/tex]

[tex]y = 3x - 0.5[/tex]


Related Questions

Long cooks three Vietnamese dinners that weigh a total of 40 ounces. What is the average(mean) weight for each dinner?

Answers

Answer:

The average (mean) weight for each dinner is 13.33 oz.

Step-by-step explanation:

mean = sum of all data points / total number of items in the set

mean = 40 / 3

mean = 13.33 oz

How many solutions does the nonlinear system of equations graphed below
have?

Answers

The curves are intersecting at (-1.75, 2.5) and (1.75, 2)

Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(-1.75, 2.5) and (1.75, 2)

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Simple word problem. 40 POINTS!!!!Thank you.​

Answers

Answer:

$50

Step-by-step explanation:

Hello There!

We are given that for 1 hour of work 250 dollars is charged and for 3 hours of work 350 dollars is charged

This could also be represented in two points (1,250) and (3,350)

The question wants us to find the hourly charge rate (slope)

we can easily find the slope ( hourly charge rate ) by using the slope formula

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

we have our two points so all we need to do is plug in the values (remember y values go on top and x values go on the bottom.)

[tex]slope=\frac{350-250}{3-1} \\350-250=100\\3-1=2\\slope=\frac{100}{2} or50[/tex]

So we can conclude that the hourly charge rate is $50

Verify the equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

Answers

Answer:

True.

Step-by-step explanation:

given equation: (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x)

1. manipulate the right side by using trigonometric identities

(tan(x) - 1)/(tan(x) + 1) = (-cos(x) + sin(x))/(cos(x) + sin(x))

2. manipulate the right side by using trigonometric identities

(-cos(x) + sin(x))/(cos(x) + sin(x)) = (-cos(x) + sin(x))/(cos(x) + sin(x))

Both sides of the equation are now equal -> (tan x - 1)/(tan x + 1) = (1 - cot x)/(1 + cot x) is true.

Please someone help with this

I’v been stuck on it all day

By the way I have already been sent that link that hacks you

Just show the work

Answers

ok, i will help you.

For the first equation, we have points

(-1, -4)

and

(1, -1)

we also know the y-intercept is

(0, -2)

we can make systems of equations to solve for the equation of this exponiental function

y=ab^x

-1=ab

-2=a*1

a=-2

-1=-2(b)

b=1/2

The exponiental fufnction here is y=(-2)(1/2)^x

2nd equation

(0, 6)

(1, 12)

12=ab

6=a*b^0=6

a=6

12=6(b)

b=2

2nd equation is

y=6(2)^x

Pew research reported in 2013 that 15% of American adults do not use the internet or e-mail. They report a margin of error of 2.3 percentage points. The meaning of that margin of error is: A) If they repeatedly sampled from the population, and constructed a confidence interval for each estimate, about 2.3% of those intervals would capture the proportion of American adults who don't use the internet or e-mail. B) They estimate that 2.3% of those surveyed answered incorrectly. C) There is a 2.3% probability that their estimate is incorrect. D) They are pretty sure that the poll result differs from the actual percentage of American adults who don't use the internet or e-mail by 2.3% or less.

Answers

Answer:

B) They estimate that 2.3% of those surveyed answered incorrectly

Step-by-step explanation:

hope it helps you dude

Solve this please!!!!!

Answers

328 hope this helps

Pls mark brainliest!

I finally started watching my hero academia, its really good but i HATEEE the season long competition thing!! its annoying! same with naruto, u watch an episode thinking ur gonna at least finish the round he is in but nOOOOoOOO

Answers

Answer:

same

Step-by-step explanation:

who’s your favourite character so far?

Kelly has a hula hoop with a radius of 2.4 feet. what is the diameter.​

Answers

Answer:

4.8

Step-by-step explanation:

Radius is 1/2 of the diameter so just do 2.4 and multiply it by 2

hope this helps :)

Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a male will win both
drawings.

Possible answers ⇒
13%
27%
36%
49%

WILL GIVE BRAINLIST

Answers

Answer:

36%

Step-by-step explanation:

30/2500 x 30/2500=

900/2500=0.36

0.36*100=36%

ou want to put shingles on the outside walls and solar panel the roof of the barn shown. It costs ​$ for each square meter of shingles. Solar panels cost ​$ per square meter. How much will this project​ cost?
4 m
4 m
8 m
9 m
10 m
7 m
5 m

Answers

Something is missing in this question because there are no dollars for the costs... Answer can not be determined.

Rewrite the expression using a DIVISION SYMBOL: "The quotient of m and 7."

Answers

Answer:

m ÷ 7

Step-by-step explanation:

"Quotient" means you're dividing, so this just means you're dividing m by 7.

HELP!!!!!! will give brainlist

Answers

Answer:

1. 112 cm

2 135 ft

3 53.67

Step-by-step explanation:

Answer:i

Step-by-step explanation:

Please help me if you know. Please give me an answer

Answers

9514 1404 393

Answer:

  6 3/10 pounds

Step-by-step explanation:

The weight change will be found by multiplying the rate of change by the time.

  ∆w = (-1.8 lb/h)(3.5 h) = -6.3 lb

The total change in weight after 3 1/2 hours is 6 3/10 = 6.3 pounds.

Ay benefit concert, twelve bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?

Answers

The requried, there are 495 possible combination lineups with eight bands out of twelve for the benefit concert.

To determine the number of possible lineups with eight out of twelve bands performing, we need to calculate the combination.

The number of ways to choose eight bands out of twelve without considering the order is given by the combination formula:

[tex]C(n, r) = \dfrac{n!}{ (r! * (n-r)!)}[/tex]

where n is the total number of bands (12 in this case) and r is the number of bands to be chosen (8 in this case).

Let's calculate it:

[tex]C(12, 8) =\dfrac {12!}{(8! * (12-8)!)}[/tex]

            [tex]= \dfrac{12!} {(8! * 4!)}[/tex]

            = (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1)
            = 495

Thus, there are 495 possible combination lineups with eight bands out of twelve for the benefit concert.

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Do dilations always produce congruent figures​

Answers

Answer:

No, sometimes it can just produce a similar image .

Can I get brainliest?

Step-by-step explanation:

Explain, using complete sentences, how you would reconcile your check register with your monthly bank statement

Answers

How do you reconcile a bank statement?

Step 1: Adjust the bank statement balance. All your transactions for the month may not be on your bank statement. ...

Step 2: Adjust the check register balance. Your bank statement may include items that you didn't record in the check register. ...

Step 3: Compare the adjusted balances.

The height of a parallelogram is 4 millimeters more than its base. If the area of the
parallelogram is 221 square millimeters, find its base and height.

Answers

Answer:

523 inches

Step-by-step explanation:

got it right on edg

The volume of a cylinder is 256pi in 3 and the height of the cylinder is 1 in what is the radius of the cylinder

Answers

Answer:

I got 9.03

Step-by-step explanation:

the formula is V=pir2h

(pi, radius squared, and height)

A woman bought a bag of rice for 5,700 naira and in three weeks later,she could only buy 3/4 of a bag for 5,700 find the percentage increase​

Answers

That’s a lot of rice

Solve the system by substitution: 3x - y = 21 and y = 6x
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Answers

Answer:

if y=6x then 3x-6x=21

-3x=21

x=-7

3x - y = 21

y = 6x

We see that,

0 = 42 which is not true.

The system of equations has no solutions.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

System of equations:

Conditions:

1 - If we get x = n (a value)

The system of equations has one solution

2 - If we get x = x or y = y or n = n

The system of equations has infinite solutions.

3 - If we get n ≠ 0

The system of equations has no solutions

Now,

3x - y = 21 _____(1)

y = 6x ______(2)

From (1) we get,

3x = 21 + y

x = (21 + y) / 3 _____(3)

Putting (3) in (2) we get,

y = 6 [(21 + y) / 3]

y = 2 (21 + y)

y = 42 + y

0 = 42

Which is not true.

This means the system of equations has no solutions.

Thus,

The system of equations has no solutions.

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I'm sorta to lazy to do this so someone help plz?

Answers

u could say “what is your favorite sport”

Osing Trig to Find a Side Apr 06, 5:40:44 PM In AOPQ, the measure of ZQ=90°, the measure of Z0=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot. P (hypotenuse) X (opp. of 20) 2009 Q 4.9​

Answers

Answer:5.4

Step-by-step explanation:

Which of the following describes the dimensions of a backyard?

The area of the yard.
The perimeter of the yard.
The volume of the yard.
The lengths of the sides of the yard.

Answers

Answer:

the lengths of the sides of the yard.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

this reason is because the sides tell how big your backyard is

WHat do u do with the brainly credits or whatever

Answers

Answer:

You basically grow rep

Step-by-step explanation:

Brainly points you need for asking questions and people are more likely to trust you with their questions if you have alot!

Answer:

i actually dont know

Step-by-step explanation:

Please answer correctly I will mark you Brainliest!

Answers

Answer:

1047.12in³

Step-by-step explanation:

The volume of the sphere is:

V= 4/3 πr³

Where r is radius

Therefore the volume of each pinata is:

V= 4/3 x π x 5³

V= 523.6in³

The total:

V = 523.6 + 523.6 = 1047.12in³

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Answers

Answer: D

Step-by-step explanation:

maybe

Answer:

the answer for your question is d

2. A circular patio has a diameter of 18 feet. How
many square feet of tile will it take to cover the
patio?

Answers

Answer:  So to cover the patio it would take 255 whole tiles.  254.469 if you want to be exact.

Step-by-step explanation:

When finding flooring needed we are finding for area.  We know the formula for finding the area of a circle is A=[tex]\pi r^{2}[/tex] so we plug in our known variables...

we know r because radius is half of diameter and diameter was given in problem.  So half of 18 is 9.

r=9

A=[tex]\pi 9^{2}[/tex]

A=[tex]\pi[/tex]81

A=254.469

Amy makes the following statement:

"There is a 60% chance of snow tomorrow and a 10% chance I will be late for school."

What is the probability that it will snow and Amy will be late for school? (1 point)

a
3%

b
6%

c
50%

d
70%

Answers

Answer:

B

Step-by-step explanation:

The answer is B!

I hope it helps!!!!

What is k^2+16k+64+89

Answers

Answer:

k²+16k+ 153

Step-by-step explanation:

k²+16k+64+89

= k²+16k+ 153

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