Find the equation (in terms of x ) of the line through the points (-4,-4) and (2,4)

Answers

Answer 1

Answer:

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:

Determine slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]

Use either coordinate point to find "b", the y-intercept

[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]

Final Equation

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Find The Equation (in Terms Of X ) Of The Line Through The Points (-4,-4) And (2,4)

Related Questions

3ab+4ab^3 I really need help please help meeeee!!!!

Answers

Answer:

ab times (3+4b^2)

Step-by-step explanation:

You would factor the equation.

What is the percent of change if 38 is decreased to 25? round to the nearest whole number

Answers

Answer:

7.89474% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 38 to V2 = 35

(V2−V1)|V1|×100

=(35−38)|38|×100

=−338×100

=−0.0789474×100

=−7.89474%change

=7.89474%decrease

Which shows the domain and range of these functions? Domain: (Negative infinity, infinity) Range: (Negative infinity, infinity) Domain: (0, infinity) Range: (Negative infinity, infinity) Domain: (Negative infinity, infinity) Range: (0, infinity).

Answers

The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).

What is domain and range of function?

Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

Given information-

The function given in the problem is,

[tex]y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)[/tex]

As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.

Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,

Domain: (-∞, ∞).

Range of a function is the set of all the possible output values which are valid for that function.

Here the output for the given function gives the positive values to the infinite. thus the range of the function is,

Range: (0, ∞).

Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).

Learn more about the domain and range of the function here;

https://brainly.com/question/2264373

Answer:

Answers for entire slide:

1. B, and D

2. All of them

3. only correct one is C.

Step-by-step explanation:

Source: trust me bro

How far to get to the the coldest place on Earth?

Answers

Answer:

Oymyakon is the coldest permanently-inhabited place on Earth and is found in the Arctic Circle's Northern Pole of Cold. In 1933, it recorded its lowest temperature of -67.7°C.

hope it will help

what is two ways to rewrite 21x^2 -42x +14 in equvalent form? i really need help here lol-​

Answers

Answer:

7(3x^2-6x+2)

Step-by-step explanation:

21, 42, 14 they can be divided by 7 so we put 7 out


Please help on 19 this needs to be finished tonight and I’m desperate I need help really bad my mom doesn’t understand this and my dad knows how to do it but can’t explain it and I don’t have any older siblings so I’m on my own when it comes to math please help me please

Answers

Step-by-step explanation:

[tex](4 {x }^{2} + 3 {y}^{2} ) {}^{0} \\ rule \: of \: zero = {x}^{0} = 1 \\ answer = 1[/tex]

The area of a rectangular rug is 21 square feet. The perimeter is 20 feet. What are the dimensions of the rug?

Answers

Answer: The length is 7, the width is 3.

Step-by-step explanation:

7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.

7+7 is 14,

3+3 is 6

14 + 6 is 20 which is the perimeter.

How do I find the value of x?? please help

Answers

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

the sum of a numner x and 4 equals 12

Answers

SOLUTION:

=) x + 4 = 12

=) x = 12 - 4

=) x = 8

Which could be the function? f(x) = (x 4)2 f(x) = x2 4 f(x) = (x – 4)2 f(x) = x2 – 4.

Answers

Answer:

C. f(x) = (x-4)^2

Step-by-step explanation:

The function among the given option is f(x) = (x – 4)² hence option (C) will be the correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that which one is a function so it is clear that f(x) = (x – 4)² is the best relation between x and f(x).

Hence this option will be the correct answer.

For more about the function

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Describe how to determine f(x) and g(x) when x=5

Answers

Answer:

brainly is the best study app in the world

Which of the following is equivalent to 23 X^-1/2

Answers

Answer:

The answer is 42/2

Step-by-step explanation:

I am so sorry if its not correct please tell me so i can fix my mistake if so.

Can someone please help me?

Answers

yes you’re correct on this question

2,0 -5,6

Essay about how we use math in our every day life. Give me a paragraph or something pleaseee

Answers

Answer:

Math is required in every day life. When you go to the grocery store determining which is the better deal. Or when cooking to figure out exactly what ingredients you need or hu=ow much. Math is required everyday to do very simple tasks

Step-by-step explanation:

At the beginning of the month we had a current account of € 467. After withdrawing five identical amounts from the account, we were left with € 88. How Much Money Do We Make Every Time?

Answers

Answer:

€75.80

Step-by-step explanation:

Start with €467.

End up with €88.

Total amount withdrawn:

€467 - €88 = €379

The total amount was withdrawn in 5 equal amounts.

Each amount taken is:

€379 ÷ 5 = €75.80

Completely factor the polynomial 8x2 – 24x 20x – 60. 8x(x 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x 5) 4(x – 3)(2x 5).

Answers

Polynomials consist of both indeterminates and coefficients. The factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

What are polynomials?

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

8x² - 24x + 20x - 60

We can factorize the polynomial in the following manner,

[tex]8x^2 - 24x + 20x - 60[/tex]

taking two as the factor commons from the entire polynomial,

[tex]=2[4x^2 - 12x + 10x - 30][/tex]

Now, taking 4x as the common factor from the first two terms of the brackets, also, take 10 as the common factor from the last two terms of the brackets,

[tex]=2[4x(x - 3) + 10(x - 3)]\\\\=2[(4x+ 10)(x - 3)]\\\\= 2 (4x+10)(x-3)[/tex]

Hence, the factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

Learn more about Polynomials:

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Answer: 4(x – 3)(2x + 5)

Step-by-step explanation: did no one use the formula that was given to you?

name the points, lines and planes in the given figure.

Answers

Hello!

name the points,

A,B,C,D, E,F, G H

lines

AB,AD, BC, DC, AE, BF, CG, DH, EH, EF, HG, GF

and planes in the given figure.

ABCD, AEHD, BFGC, EHGF

Please help meeee!!!

Answers

Answer:

q.1. [tex]12[/tex]

q.2. [tex]72[/tex]°

q.3. [tex]KU=12[/tex]

Step-by-step explanation:

Liz has 28 coins in her pockets that are nickels and quarters. She has a total of $4.60. How much money does liz have in her pocket from nickels alone?

Answers

Answer: 12

Step-by-step explanation:

ignore the papers in the back lol

what is the gradient of the blue line ??

Answers

Answer:-5

Step-by-step explanation:

The solution is in the attached file below

The gradient of the blue line that passes through the points (-1, 0) and (0, -5) is -5.

What is the slope ( gradient ) of the line?

The Slope (gradient) is simply expressed as a change in y over the change in x.

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

The blue line in the graph runs through points (-1, 0) and (0, -5).

To find the gradient (slope) of the blue line passing through the points (-1, 0) and (0, -5), we use the slope formula.

Point (-1,0): x₁ = -1 and y₁ = 0

Point (0, -5): x₂ = 0 and y₂ = -5

Plug the coordinates into the above formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{-5 - 0}{0 - (-1)}\\\\Simplify:\\\\m = \frac{-5 - 0}{0 + 1}\\\\m = \frac{-5}{ 1}\\\\m = -5[/tex]

Therefore, the slope is -5.

Learn more about slope formula here: brainly.com/question/24578307

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A trolley charges $3.00 just to get in the car and $1.00 for each mile traveled. How much would it cost to travel 5 miles? 8 miles? 20 miles?

Answers

Answer:

5 miles = $8

8 miles = $11

20 miles = $23

Step-by-step explanation:

If admission is 3 dollars, then we already know that is the minimum we have to pay. The rest of the money we spend on the trolley depends on how many miles we travel on it. If each mile is 1 dollar, then we can use a variable to represent the number of miles since there are numerous possible answers.

The basic equation to represent the scenario is:

3 + x

Since x represents the amount of miles traveled, we can replace it with 5, 8, or 20.

3 + 5 = 8 dollars

3 + 8 = 11 dollars

3 + 20 = 23 dollars

bntu segera y mksh. ​

Answers

Step-by-step explanation:

1. Clean the floor now.

2. Clean the blackboard.

3. Make sure your friends never drives fast again

4. Go and serve a glass of juice to your friend

5. Tell your friend to not speak loud.

What is the point-slope form of a line with slope 4/5 that contains the point (-2, 1)?
A. y - 1 = 4/5(x + 2)
B. y + 1 = 4/5(x - 2)
C. y - 1 = 4/5(x - 2)
D. y + 1 = 4/5(x + 2)

Answers

Hi! Let me help you! :)

We are given the slope of the line and a point that it passes through.We can use the Point-Slope formula:y-y1=m(x-x1)y-1=4/5(x-(-2)y-1=4/5(x+2)

Answer:

y-1=4/5(x+2)

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Want to be friends. Just asking

Answers

Answer:

yes I know is that possible

Answer

sure

Step-by-step explanation:

4(x+1 1/3) =9 2/3 enter your answer as a mixed number in simplest from​

Answers

Answer:

x = 13/12

x = 1 1/12

Step-by-step explanation:

4 (x + 1 1/3) = 9 2/3

4x + 5 1/3 = 9 2/3

subtract 5 1/3 from each side

4x = 4 1/3

divided by 4 on each side

x = 13/12

x = 1 1/2

hope this helps! :)

Im du.mb at this stuff, i dont know how to do it

Answers

Answer:

the correct answer will be 88

Answer:

Area of the shaded region 45.76 cm².

Step-by-step explanation:

Firstly, finding the area of rectangle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

→ A = Area→ l = length → b = breadth

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 8}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 96}}}\\\\\qquad{\star{\boxed{\sf{\pink{A_{(Rectangle)} = 96 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of rectangle is 96 cm².

[tex]\rule{200}2[/tex]

Secondly, finding the area of circle by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}}[/tex]

→ A = Area → π = 3.14 → r = radius

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4\times 4)}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14(16)}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 16}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} \approx 50.24}}} \\ \\ \qquad{\star{\boxed{\sf{\purple{A_{(Circle)} \approx 50.24 \: {cm}^{2}}}}}} \end{gathered}[/tex]

Hence, the area of circle is 50.24 cm².

[tex]\rule{200}2[/tex]

Now, finding the area of shaded region by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}[/tex]

→ A = Area→ Rectangle → Circle

[tex]\begin{gathered}{\quad{\longrightarrow{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} = 96 - 50.24}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} \approx 45.76}}}}\\\\{\quad{\star{\boxed{\sf{\red{A_{(Shaded)} \approx 45.76 \: {cm}^{2}}}}}}} \end{gathered}[/tex]

Hence, the area of shaded region is 45.76 cm².

[tex]\rule{300}{2.5}[/tex]

Two quantities that form a proportion are?

Answers

Two equal ratios form a proportion.y = kx, where k is the constant of proportionality.

Question 1 of 10
Which inequality represents all values of x for which the product below is
defined?
VX-6. Vx+3
O A. X2-3
O B.X26
O c. x20
O D. Xs6

Answers

Answer:

  B.  x ≥ 6

Step-by-step explanation:

The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.

Similarly, the value √(x+3) is only defined for x ≥ -3.

The product can only be computed where both functions are defined:

  (x ≥ 6) ∩ (x ≥ -3) = x ≥ 6

find any 4 rational numbers between -1/2 and 1/2​

Answers

Answer:

Step-by-step explanation:

Multiply the numerator and denominator of rational numbers by 5

[tex]\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}[/tex]

what is ratio of perimiters

Answers

Answer:

Ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

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