What is the equation of the line that passes through (5, -2) and (-3, 4)?

Answers

Answer 1
First figure out the slope, the equation is Y2-Y1/ X2-X1.. m=-3/4 So far your equation is y=-3/4x + b. b is the y intercept. Plug in either points in the equation to have so far.. you will receive 7/4. The equation is y=-3/4 + 7/4
Answer 2

Answer: [tex]4y=-3x-7[/tex]

Step-by-step explanation:

The equation of a line passing through (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

The equation of a line passing through (5, -2) and (-3, 4) is given by :-

[tex](y-(-2))=\dfrac{4-(-2)}{-3-5}(x-5)\\\\\Rightarrow\ y+2=\dfrac{6}{-8}(x-5)\\\\\Rightarrow\ y+2=\dfrac{-3}{4}(x-5)\\\\\Rightarrow\ 4(y+2)=-3(x-5)\\\\\Rightarrow\ 4y+8=-3x+15\\\\\Rightarrow\ 4y=-3x-7[/tex]


Related Questions

The fourth grade students at Riverside school are going on a field trip. There are 68 students on each of the 4 buses. How many students are going on the field trip?

Answers

272 is the answer to this question
If there are 68 students on one bus

Number of students on 4 buses
=68x4
=272

Caden owns a popular retail website. The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that. Which statement best describes the initial number of transactions in this situation? The initial number of transactions is neither an independent nor a dependent variable. The initial number of transactions is an independent variable. The initial number of transactions is a dependent variable. The initial number of transactions is both an independent and a dependent variable.

Answers

Answer: The initial number of transactions is neither an independent nor a dependent variable.

Step-by-step explanation:

Here, The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that.

If x represents the number of hours and y represents Number of transaction after x hours.

Therefore, The function which represents the situation is,

[tex]y = 10\times 2^x[/tex]

Where x is independent variable, while y is dependent variable.

Since initially x=0,   y=10 which is the initial transaction.

And, there is not any impact on the value of 10 by changing the values of x or y, Also 10 is not a variable( because it is a constant value)

Therefore neither it is dependent variable nor it is independent.


Answer:

The initial number of transactions is neither an independent nor a dependent variable.

Step-by-step explanation:

We know that the initial number of transactions that took place in the first hour of day is 10, i. e., a constant that is independent of the total number of transactions and the hour of the day. The independent variable is the time elapsed and the dependent variable is the total number of transactions made.

what are Negatives and Positives (math) and can u help me learn them

Answers

Example of Negative numbers:

-4
-16
-19

Anything with a (-) negative sign is a negative

Positive are just your basic numbers:

5
6
7

example of a negative with a postive:

-9+6

=-3

So if Jimmy owes you 9 dollars, but only has 6 at the moment, he still owes you 3 dollars.
So positives are whole numbers. 1, 2, 3, 4, 5 and the list goes on forever.

Negatives are the numbers to the left of zero on any number line.

Negatives ------- 0 ------- Positives

-5 -4 -3 -2 -1 0 1 2 3 4 5

When you're adding negatives and positives these are some important rules to remember:
When you have more negatives KEEP the negative sign.
If you have more positives you can get rid of the negative sign.

1. -4 + 2 = -2
When you're adding a negative and a positive think of subtracting.

2. 7+ -3 = 4

Hope this helped!

-3(-7p-6) -7< p -29 how to do

Answers

Let's solve your inequality step-by-step.

−3(−7p−6)−7<p−29

Step 1: Simplify both sides of the inequality.
21p+11<p−29

Step 2: Subtract p from both sides.
21p+11−p<p−29−p
20p+11<−29

Step 3: Subtract 11 from both sides.
20p+11−11<−29−11
20p<−40

Step 4: Divide both sides by 20.
20p/20 < -40/20

p<−2

Answer:p<−2

I hope this helps you! :)



How many zero pairs must be added to the function
f(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?


4

10

21

25

Answers

25 would be the correct answer if you want this explained let me know 

Answer:

25

Step-by-step explanation:

e2020

(-1/3,-13/18) a solution of 6y=4x-3

Answers

u have to plug it in the x,y

what is 362% of 19.5

Answers

The answer is 70.59.
The answer the the question is70.59

Find the equation of the line (in slope intercept form) passing through the point (6,−2)(6,−2) and parallel to the line passing through (−3,4)(−3,4) and (3,−1)(3,−1).

Answers

the slope of the equation is y1 - y2 divided by x1 x2

Answer bottom 6 algebra 1 problems please

Answers

3)
Domain:

[tex]v+12\neq0\\\\\boxed{v\neq-12}[/tex]

[tex]9=\dfrac{v+4}{v+12}\quad|\cdot(v+12)\\\\\\9(v+12)=v+4\\\\9v+108=v+4\\\\9v-v=4-108\\\\8v=-104\quad|:8\\\\\boxed{v=-13}[/tex]

4)

[tex]7-(5t-13)=-25\\\\7-5t+13=-25\\\\-5t=-25-7-13\\\\-5t=-45\quad|:(-5)\\\\\boxed{t=9}[/tex]

5)

[tex]-3(7p+5)=27\\\\-21p-15=27\\\\-21p=27+15\\\\-21p=42\quad|:(-21)\\\\\boxed{p=-2}[/tex]

6)

[tex]14+13y=20y-21\\\\13y-20y=-21-14\\\\-7y=-35\quad|:(-7)\\\\\boxed{y=5}[/tex]

7)

[tex]\dfrac{-8-3k}{2}=11\quad|\cdot2\\\\-8-3k=22\\\\-3k=22+8\\\\-3k=30\quad|:(-3)\\\\\boxed{k=-10}[/tex]

8)

[tex]-15b+21+5b=-19\\\\-15b+5b=-19-21\\\\-10b=-40\quad|:(-10)\\\\\boxed{b=4}[/tex]

Please, please, PLEASE help!!!

Candice paid $2,000 for her whole life insurance policy this year. A term insurance policy with the same coverage would cost her about $700 a year. Assuming she decides to buy the term policy and invest the difference, earning a rate of 6 percent, how much money could she "make" in a year?

Answers

Candance could make at least 1,620,000 a year

Patricia wishes to have a rectangular-shaped garden in her backyard. she has 70 ft of fencing material with which to enclose her garden. letting x denote the width of the garden, find a function f in the variable x giving the area of the garden. what is its domain?

Answers

The function that gives the area (A) of the garden in terms of the width (x) is A(x) = x × (35 - x)

The domain of the function would be: 0 ≤ x ≤ 35

To find the function that gives the area of the garden, let's start by understanding the problem. Patricia wants to enclose a rectangular garden with a total of 70 feet of fencing material. This means that the sum of all sides of the rectangular garden (perimeter) should be equal to 70 feet.

For a rectangular garden, the perimeter is given by the formula:

Perimeter = 2 × (length + width)

In this case, since one of the sides is the width (x) and the other side is the length, the formula becomes:

70 = 2 × (x + length)

Solving for the length:

x + length = 70 / 2

length = 35 - x

Now, the area of a rectangle is given by the formula:

Area = length × width

Substitute the expression for the length:

Area = (35 - x) × x

Now, you have a function that gives the area (A) of the garden in terms of the width (x):

A(x) = x × (35 - x)

The domain of this function is the range of valid values for x. Since x represents the width of the garden, it should be a positive value. Also, the width cannot exceed 35 (since the length is 35 - x). So, the domain of the function is:

0 ≤ x ≤ 35

This means that the width (x) can take any value between 0 and 35 feet, inclusive, within the context of the problem.

Learn more about Domain click;

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Final answer:

To find the area of the garden, we need to relate the width and length of the garden to the amount of fencing material. The function that gives the area of the rectangular garden is A = x(35 - x). The domain of the function is 0 ≤ x ≤ 35.

Explanation:

To find the function that gives the area of the rectangular garden, we need to relate the width and length of the garden to the amount of fencing material. Since the garden has four sides, two sides of length x and two sides of length y, we have the equation 2x + 2y = 70. Solving for y, we get y = 35 - x. The area of a rectangle is given by the formula A = x * y. Substituting y = 35 - x, we get A = x(35 - x) = 35x - x^2.

The domain of the function f(x) = 35x - x^2 is determined by the values of x that make sense in the context of the problem. In this case, the width cannot be negative and it cannot be greater than 35 (since the length cannot be negative or greater than 35 either).

Therefore, the domain of the function is 0 ≤ x ≤ 35.

How do I construct angle XYZ with a measure of 2 times the measure of angle ABC

Answers

I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.


In this png, we have something to make sure.

∠B=∠DAB

B
=

D
A
B
(Yes, dab)

This also means AD=BD
A
D
=
B
D
.

This is our basic construction of D, which is going to help us.

∠ADC=∠DAB+∠B=2∠B=∠CAB

A
D
C
=

D
A
B
+

B
=
2

B
=

C
A
B

∠CAD=∠CAB−∠DAB=∠B

C
A
D
=

C
A
B


D
A
B
=

B

These are based on the fact that ∠A=2×∠B

A
=
2
×

B

Actually these conditions suffice. Because I am just proving that △ACD∼△BCA

A
C
D


B
C
A

Similarity makes us realize the following:

ACBC=ADAB
A
C
B
C
=
A
D
A
B

and

ACBC=CDAC
A
C
B
C
=
C
D
A
C

So

AC×AB=BC×AD
A
C
×
A
B
=
B
C
×
A
D

and

AC2=BC×CD
A
C
2
=
B
C
×
C
D

So

BC2=BC×(BD+CD)=BC×(AD+CD)
B
C
2
=
B
C
×
(
B
D
+
C
D
)
=
B
C
×
(
A
D
+
C
D
)

=AC×AB+AC2
=
A
C
×
A
B
+
A
C
2

Q.E.D.
2.4k Views ·

7/11 and 7/11 determine if parallel, perpendicular, or neither

Answers

Neither, because the lines will be on top of each other, and so it will neither be parallel or perpendicular

hope this helps
Final answer:

The values 7/11 and 7/11, when considered slopes of two lines, indicate that these lines are parallel because they have identical slopes. For the lines to be perpendicular, one slope would need to be the negative reciprocal of the other, which is not the case here.

Explanation:

When faced with the values 7/11 and 7/11 in a mathematical context, we typically need additional information to determine a relationship such as whether lines or vectors are parallel, perpendicular, or neither. However, if we assume that the fractions 7/11 represent the slopes of two lines in a Cartesian coordinate system, we can determine the relationship between these lines.

If two lines have identical slopes, this indicates that they are parallel. Their steepness in the coordinate system will be the same, and they will not intersect, no matter how far they are extended. In our case, both slopes are 7/11, which means that these lines are indeed parallel to each other.

For lines to be perpendicular, the slope of one line must be the negative reciprocal of the other. In terms of angles, perpendicular lines intersect at a 90° angle. Since both slopes given here are identical, they do not satisfy the condition for perpendicularity.

Understanding the relationship between lines is essential for analyzing the structure of geometric figures and solving various problems in physics and engineering. Remember that irrespective of relative directions like 'forward' or 'backward,' parallelism is evaluated based on slope in a Cartesian plane.

Which of the following best describes the equation below? 3(x + 10) + 8x = 11x - 30
A. exactly one real solution, x = -1
B. exactly one real solution, x =7 1/2
C. infinite real solutions
D. no real solutions

Answers

Dis the answer i think

Answer: d

Step-by-step explanation:

what is the result of converting 8 gallons to quarts ? remember , there are 4 quarts in a gallon

Answers

Answer: 32 quarts

Step-by-step explanation:

We know that there area 4 quarts in one gallon.

i.e.[tex]1\text{ gallon}=4\text{ quarts}[/tex]

Now, to convert 8 gallons into quart we need to apply unitary method.

Using unitary method , to convert 8 gallons into quart , multiply 8 to 4 , we get

[tex]8\text{ gallon}=8\times4\text{ quarts}\\\\\Rightarrow\ 8\text{ gallon}=32\text{ quarts}[/tex]

Hence there are 32 quarts in 8 gallons.

There are 32 quarts in 8 gallons of quantity.

The given quantity is 8 gallons.

We know that, 1 gallon = 4 quarts

Here, 8 gallons = 8×4

= 32 quarts

Therefore, there are 32 quarts in 8 gallons of quantity.

To learn more about the metric conversion visit:

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Which of the following expressions is not correctly written in scientific notation?

1 × 104
9 × 102
10 × 107
5 × 103

Answers

10 x 10 ^ 7

Should be

1.0 x 10 ^ 8

Answer:

1.0 x 10 ^ 8

Step-by-step explanation:

Two cards are selected without replacement from a standard deck of 52 cards. what is the probability that both cards are the same color (i.e., either both black or both red)

Answers

First card to be selected=52/52=1
Second card to be selected and be the same colour=25/51
P=25/51

Un elev are un numar de fotografii cu diverse specii de animale si pasari. Vrand sa le lipeasca pe filele unui album, consta ca daca le aseaza cite 3 sau cite 4, sau cite 5, sau cite 6 pe ultima fila ii ramine de fiecare data o fotografie. Daca le asezam cite 7 pe fiecare fila, atunci nu-i va ramine niciuna. Cite foografii are elevul?

Answers

A=3*x+1 a-1=3*x
a=4*y+1 a-1=4*y
a=5*z+1 a-1=5*z ⇒ a-1 ∈ M3 ∩ M5 ∩ M4

a-1∈{60,120,180,240,300,360..}
a∈ { 61, 121, 181, 241, 301, 361..}
dar a∈ M7 ⇒ a=301

Find a general form of an equation of the line through the point a that satisfies the given condition. a(6, −5); parallel to the line 9x − 2y = 7

Answers

9x - 2y = 64 If a line is parallel to another line, then it has the same slope. Which means that the desired equation will have the form 9x - 2y = ? So let's plug in the values for the point (6,-5) and calculate what the constant should be. 9*6 - 2*(-5) = ? 54 + 10 = ? 64 = ? So the desired equation will be 9x - 2y = 64
Final answer:

To find the parallel line's equation through the point (6, -5), we identify the slope of 9x - 2y = 7 as (9/2), and then use the point-slope form with the given point to derive the new line's equation. The final general form of this equation is 9x - 2y - 64 = 0.

Explanation:

To find the general form of an equation of the line that is parallel to the line 9x - 2y = 7 and passes through point a(6, -5), we first need to identify the slope of the given line. The slope-intercept form of the line can be found by rearranging the equation into y = mx + b, where m is the slope. For the given equation 9x - 2y = 7, we solve for y to get the slope:

2y = 9x - 7


y = (9/2)x - 7/2

The slope of the given line is (9/2). Since parallel lines have the same slope, our new line will also have a slope of (9/2). Using the point-slope form of a line's equation, we can insert the slope and the coordinates of point a to determine the equation of our new line:

y - y₁ = m(x - x₁)


y - (-5) = (9/2)(x - 6)


y + 5 = (9/2)x - 27

Finally, we rearrange this equation to its general form, Ax + By + C = 0:

(9/2)x - y - 32 = 0

or


9x - 2y - 64 = 0

This is the general form of the equation of the line that is parallel to 9x - 2y = 7 and passes through point (6, -5).

The inner dimensions of an in-ground swimming pool are: width = 13.0ft, length = 18.0 ft, and depth = 9.0ft. the pool walls and the bottom are uniformly 1.0 ft thick and made of concrete. what is the total concrete surface area of the pool in units of ft2?

Answers

In swimming pool, the area would be only 5 pieces of rectangles since the top would be open. But if each area needs 1ft thick of concrete, then the length and width will be increased 2ft, but height only increased 1 ft. Make it length=20ft, width= 15ft, height= 10ft
Then to find the swimming pool area that need to be put some concrete the formula is:

Swimming pool area= length x width+ 2(length x height) + 2 (width x height)
Swimming pool area= 20ft x 15ft+ 2(20ft x 10ft) + 2( 15ft x 10ft)= 300ft[tex] ft^{2} [/tex] + 600[tex] ft^{2} [/tex] + 300[tex] ft^{2} [/tex]= 1200 [tex] ft^{2} [/tex]


The swimming pool is in the shape of a open top rectangular prism. The concrete boundary of the swimming pool is in the shape of rectangular prism slabs.

The surface area of the interior sides of the swimming pool is given by 2(13 x 9)ft + 2(18 x 9)ft = 234ft + 324ft = 558ft^2

The surface area of the interior bottom of the swimming pool is given by 13 x 18 = 234ft^2.

The surface area of the exterior sides of the swimming pool is given by 2(15 x 10)ft + 2(20 x 10)ft = 300ft + 400ft = 700ft^2

The surface area of the exterior bottom of the swimming pool is given by 15 x 20 = 300ft^2.

The surface area of the top thickness of the swimming pool is given by 2(1 x 14) + 2(1 x 19) = 28 + 38 = 66ft^2

Therefore, total surface area = 558 + 234 + 700 + 300 + 66 = 1,858 ft^2.

what are the values of x and y for this system of equations?
2x + y = -1
-x + 3y = 18

Answers

x=-3 and y=5
2x+y=-1

-x+3y=18
3y-18=x

2(3y-18)+y=-1
6y-36+y=-1
7y=-1+36
7y=35
y=35/7
y=5

-x+3y=18
-x+3(5)=18
-x+15=18
-x=18-15
-x=3
x=-3

X=1+y/2
That's the answer to the first half of the problem shown the whole problem is invalid together

What are the solutions of x^2=13x-4

Answers

By using the quadratic formula, the solutions of the quadratic equation include;

[tex]x = \frac{-13\; - \;3\sqrt{17}}{2}[/tex] and [tex]x = \frac{-13\; + \;3\sqrt{17}}{2}[/tex]

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

[tex]ax^2 + bx + c = 0\\\\x^2=13x-4\\\\x^{2} -13x+4=0[/tex]

where:

a = 1, b = -13, c = 4

Mathematically, the quadratic formula is represented by this mathematical equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(-13)\; \pm \;\sqrt{(-13)^2 - 4(1)(4)}}{2(1)}\\\\x = \frac{-13\; \pm \;\sqrt{169 - 16}}{2}\\\\x = \frac{-13\; \pm \;\sqrt{153}}{2}\\\\x = \frac{-13\; + \;3\sqrt{17}}{2}\\\\x = \frac{-13\; - \;3\sqrt{17}}{2}[/tex]

If one foot equals 12 inches and one mile is 5280 feet, how many miles are in 50000 inches

Answers

Final answer:

To calculate the total miles, first convert 50000 inches to feet, then convert the result to miles. Approximately 0.790 miles are in 50000 inches.

Explanation:

To answer your question, "How many miles are in 50000 inches?" We need to convert inches to miles. We have to use the given conversion rates: 1 foot = 12 inches and 1 mile = 5280 feet.

First, let's convert inches into feet by dividing the total inches by the conversion factor of inches to feet. So, 50,000 inches divided by 12 equals approximately 4166.67 feet. Then, to find the total miles, we must convert feet to miles using the conversion factor of feet to miles. So, 4166.67 feet divided by 5280 (the number of feet in a mile) equals approximately 0.790 miles.

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The sum of 3 times a number and 4 is between -8 and 10

Answers

equation: 3x+4= -8,10

PLZ HELP!

- 1/2 + 2/3

As a fraction??

Answers

first find the LCD of both fractions, which is 6

make the denominators the same as the LCD

simplify it, now that its equal

join the denominators together

lastly simplify 

Answer: 1/6.

What is the slope of line represented by 1/8x + 3y =3

Answers

1/8x+3y=3
subtract 1/8x from both sides

3y=-1/8x+3
divide both sides by 3

y=-1/24x+1

ANSWER: the slope should be -1/24
Get the equation into slope-intercept form and you will easily see the slope.

(1/8)x + 3y = 3

Solve for y.

(1/8)x + 3y = 3
3y = -(1/8)x + 3 <-- Subtract (1/8)x from each side
y = (-(1/8)x / 3) + (3 / 3) <-- Divide each side by 3
y = -(1/24)x + 1

Now we have the slope-intercept form:

y = -(1/24)x + 1

So, the slope is -1/24.

MATH HELP 10 POINTS !

Answers

1) P = 9.4m, A = 4.8m^2

2) 27*14 /2 = 189 ft^2

3) 0.3^3 = 0.027

A truck travels on the highway at a speed of 72 miles per hour. What is the speed of the truck in feet per second

Answers

the answer is .02 per second

1 mile = 5280 feet

1 hour = 3600 seconds

72 * 5280 = 380160 feet per hour

380160/ 3600 = 105.6 feet per second ( round answer if needed)

Four less than half a number is 17 .How would I solve this?

Answers

First, let's define the number we are looking for as n.

So "half a number" is (1/2)×n

Therefore, "four less than" this would be: ((12)×n)−4

And if this is or, in other words, = to #17 we can write the equation:

((12)×n)−4=17

Solving for n while keeping the equation balanced gives:

((12)×n)−4+4=17+4

(12)×n=21

(21)×(12)×n=21×(21)

((21)×(12))×n=421

1×n=42

n=42


The answer to this problem is 42

How to find amplitude of a trig function?

Answers

hello : 

y = A sin(Bx + C) + D

·        amplitude is A

Final answer:

To find the amplitude of a trigonometric function, identify the coefficient in front of the sine or cosine term in the wave equation. In the example equation y(x, t) = A sin(kx — wt), the amplitude is 0.2 meters, represented by A.

Explanation:

To find the amplitude of a trigonometric function, one must identify the coefficient of the sine or cosine function in the wave equation. Given the wave equation y (x, t) = A sin (kx — wt), the amplitude can be extracted directly as it is the absolute value of the coefficient A in front of the sine or cosine term. In the example provided, the amplitude of the wave is 0.2 meters because it is represented by A in y (x, t) = [tex]0.2 m sin (6.28 mx-1.57 s-t).[/tex]

Moreover, the characteristics of a sinusoidal wave such as wavelength (λ), period (T), and frequency (f) are related to the amplitude but represent different aspects of the wave's behavior. These can be determined using the wave number (k), angular frequency (ω), and initial phase shift, when present.

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