Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,5).
O A. y- 5 = (x-4)
B. -5x+9y= 25
C. -5x +9y= 1
D. 5x-9y= 25

Answers

Answer 1
The correct answer to your problem will be D
Answer 2

The linear equation of line passing through the (-14,-5) and (4,5) is given by -5x + 9y = 25

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -14 , -5 )

Let the second point be Q ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -5 - 5 ) / ( -14 - 4 )

Slope m = -10 / -18

Slope m = 5/9

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 5 = ( 5/9 ) ( x - 4 )

Multiply by 9 on both sides , we get

9y - 45 = 5x - 20

Adding 45 on both sides , we get

9y = 5x + 25

Subtracting 5x on both sides , we get

-5x + 9y = 25

Hence , the equation of line is -5x + 9y = 25

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Related Questions

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

Answers

I think: 1 foot, 1 inch, and 1 inch
8 cm, 4 cm, and 2 cm

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

PLEASE HELP

What is the following product?

Answers

The following product is D

find all possible values for each expression

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The sine function is negative only for angles greater than 180°. This eliminates choice B.

The sine function is periodic with a period of 360°, eliminating choices A and C.

The only viable choice is D, which is the correct one.

the line below are parallel. If green line has a slope of 2/5 what is the slope of the red line? enter your answer as an integer or fraction in lowest terms

Answers

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

What is the distance between T(9, −5) and the center of the circle with equation (x – 6)2 + (y + 1)2 =10?

Answers

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

Which of the following phrases are expressions?

Answers

Answer:

C ,D , E just follow it . thank me later if its right

Answer:

E

Step-by-step explanation:

(10+7)(50+1)

=17×51

=867

Convert 7,34 cm to meters​

Answers

Answer:

Value of 7.34 centimeter into meter is 0.0734

Step-by-step explanation:

Given value;

7.34 centimeter

Find:

Value of 7.34 centimeter into meter

Computation:

We know that

⇒ 1 centimeter = 0.01 meter

So,

⇒ 7.34 centimeter = 7.34 x 0.01

⇒ 7.34 centimeter = 7.34 x 1/100

⇒ 7.34 centimeter = 7.34 / 100

⇒ 7.34 centimeter = 0.0734 meter

Value of 7.34 centimeter into meter is 0.0734

F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Answers

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

4x = -12? dgdgdgdgdgdg

Answers

Answer:

-3

Step-by-step explanation:

X=-12/4

X=-3

hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

Mary wants to buy candies with an amount of money she has in her pocket.  we know that if she had $3.20 more money she could buy 120 candies. While if she had $2.40 less money she could buy 85 candies. What is the price per candy?

Answers

Answer:

the price per candy is $0.16

and she has $16.00 in her pocket.

Step-by-step explanation:

x = the money in her pocket.

y = the price per candy

x + 3.2 = 120×y

x - 2.4 = 85×y

y = (x - 2.4)/85

=>

x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17

=>

(17x + 17×3.2)/17 = (24x - 57.6)/17

17x + 54.4 = 24x - 57.6

54.4 = 7x - 57.6

112 = 7x

x = 16

y = (16 - 2.4)/85 = 13.6/85 = 0.16


Help please !!! I will mark brainlist!!

Answers

Answer:

x= -0.182 and +4

hope it helps

have a nice day

What is the domain of the square root function graphed below?

Answers

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.

2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method. ​

Answers

Answer:

The zeros are 1 and 2

Step-by-step explanation:

Given

[tex]y =x^2 - 3x + 2[/tex]

Required

The zeros

[tex]y =x^2 - 3x + 2[/tex]

Expand

[tex]y =x^2 - 2x-x + 2[/tex]

Factorize

[tex]y =x(x - 2)-1(x - 2)[/tex]

Factor out x - 2

[tex]y =(x - 1)(x - 2)[/tex]

Set to 0

[tex](x - 1)(x - 2)=0[/tex]

Solve for x

[tex]x - 1 = 0 \to x =1[/tex]

[tex]x - 2 = 0 \to x =2[/tex]

Hence, the zeros are 1 and 2

A local grocery store charges for oranges
based on weight as shown in the graph below.
Find the price (dollars per kilogram) of
oranges at the grocery store.
dollars per kilogram

Answers

I think it would be 3 dollars because the 1 matches with the three.

Answer:

3 dollars

Step-by-step explanation:

Khan academy said so

Can somebody help me out please

Answers

Answer:

Brainly's honor code doesn't allow quiz questions to be posted.

"Students are never allowed 2 post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."

Please help please reply

Answers

Answer:

hypotenuse:15

Step-by-step explanation:

Pythagorean Theorem is a^2 + b^2 = c^2

"a" and "b" are the legs, "c" is the hypotenuse

9^2 + 12^2 = 225

[tex]\sqrt{225\\[/tex]

hypotenuse = 15

There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?

Answers

There’s a probability of five of them going out of state

The table shows a linear relationship between x and y.
х
у
-20
96
-12
60
-6
33
-2
15
What is the rate of change of y with respect to x?

Answers

Answer:

[tex] -\frac{9}{2} [/tex]

Step-by-step explanation:

Rate of change of x and y can be calculated using the following formula and using any two given pair of values from the table:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using (-12, 60) and (-6, 33).

Where,

[tex] (-12, 60) = (x_1, y_1) [/tex]

[tex] (-6, 33) = (x_2, y_2) [/tex]

Plug is the values

Rate of change = [tex] \frac{33 - 60}{-6 -(-12)} [/tex]

Rate of change = [tex] \frac{-27}{6} [/tex]

Simplify

Rate of change = [tex] \frac{-9}{2} [/tex]

Rate of change = [tex] -\frac{9}{2} [/tex]

Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical.

Answers

Answer:

2310 ways

Step-by-step explanation:

We are given;

Number of cans = 11

Number of cans of corn = 4

Number of cans of peas = 1

Number of cans of beets = 6

Following the rule of combination and permutations and applying it to this question, we have;

Number of ways = 11!/(6! × 1! × 4!)

Number of ways = 2310 ways

plz help worth 50 points

Answers

Answer:

The answer is A

Step-by-step explanation:

Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.

-3 minus -3 = -6-6 minus -6 = -9

       

Answer:

Someone already answered it but I won't let 50 points go to waste. !!!!!

Step-by-step explanation:

What is the answer for this one

Answers

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

Please answer my question correctly.

Nonsense/Plagiarized = Report​

Answers

so the circumference of a circle is C=2 times pi times the radius. in this case it would be C= 2(pi)(4) which is 25.1 :)
Problem:-

Find the perimeter or circumference and area of each figure. Round to the nearest tenth.

Solution:-

The circumference of a circle with radius r is given by C = 2πr. The radius of the circle is 4 in.

Substitute 4 for r.

[tex]\sf{C=2πr}[/tex]

[tex]\sf{ \: \: \: \: =2π(4)}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{darkviolet}{25.1}}}[/tex]

Answer:-

The circumference of the circle is about 25.1 in.

======================

The area of a circle with radius r is given by A = πr².

Substitute 4 for r.

[tex]\sf{A = πr²}[/tex]

[tex]\sf{ \: \: \: \: = π(4)²}[/tex]

[tex]\sf{ \: \: \: \: ≈{\color{magenta}{50.3}}}[/tex]

Answer:-

The area of the circle is about 50.3 in².

======================

#Hope it helps!

(ノ^_^)ノ

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C. Which transformations could have taken place to map △ABC to △A"B"C"? a reflection and a dilation a rotation and a dilation a translation and a dilation a reflection and a translation

Answers

C. a translation and a dilation

Step-by-step explanation:

the other person isn't wrong they just put it in the wrong order

Answer:c

Step-by-step explanation:took the test

- 10 + x < - 2 what is the solution of the inequality shown below

Answers

Answer:

x<8

Step-by-step explanation:

The smallest number by which 48 should be multiplied so as to get a perfect square is ​

Answers

Answer:

3

Step-by-step explanation:

hrhrhehrhrhrhrhruruurruururuur

Select the correct answer.
What is the solution to this equation?
log3 (4x) – 2log3x =2

A. 36
B. 9/4
C. 4/9
D. 1/36

Answers

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]


Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.
16.8
D
23.2
23.2
12.4
B

Answers

The answer should be 287.7.

Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4

Answers

Answer:

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.

Answers

Answer:

1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110

Step-by-step explanation:

its the answer

The endpoints of a diameter are (-3,4) and (5,-2). What is the center of the circle?

Answers

(1,1) is the answer


Hope this helps!!
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