The
point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x -12). What is
the standard form of the equation
for this line?

Answers

Answer 1

Answer:

y = [tex]\frac{x}{4}[/tex] - 2

Step-by-step explanation:

y - 1 = 1/4 (x - 12)

y - 1 = 1/4 (x) -3

y = 1/4 (x) -3 +1

y = [tex]\frac{x}{4}[/tex] - 2


Related Questions

Reflect triangle A in the line y=1

Answers

Answer: Plot at the points (-1,0) (-1,-2) and (-4,-2)

a sum of c and 12 divided by 3

Answers

12 divided by 3 is 4;but, what is the sum of c mean

What is the value of y?

Answers

Apply Pythagorean theorem in ∆TMU

[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]

[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]

Now

in ∆TNU

[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]

[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]

[tex]\\ \rm\Rrightarrow y^2=108[/tex]

[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]

Answer:

6√3 units

Step-by-step explanation:

Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then

NT : NU = TM : TU

First find the length of TU using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ UM² + TU² = TM²

⇒ 3² + TU² = 6²

⇒ TU² = 27

⇒ TU = √(27)

⇒ TU = 3√3

Given:

NT = yNU = 9TM = 6TU = 3√3

NT : NU = TM : TU

⇒ y : 9 = 6 : 3√3

[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]

[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]

[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]

[tex]\implies y=6\sqrt{3}[/tex]

Please help me
<MPN = ?°​

Answers

Answer:

  45°

Step-by-step explanation:

The triangles CPN and APM are isosceles, which gives rise to angle relationships that can be used to find the desired angle.

Let the angle at A be represented by α. Then the angle at C is the complementary angle (90° -α). The angles MPA and NPC are, respectively ...

  ∠MPA = (180° -α)/2 = 90° -(α/2) . . . . . . . base angle of ΔAPM

  ∠NPC = (180° -(90° -α))/2 = 45° +α/2 . . . base angle of ΔCPN

The sum of angles MPA, MPN, NPA is the linear angle APC, so we have ...

  ∠MPA +∠MPN +∠NPA = 180°

  (90° -α/2) +∠MPN +(45° +α/2) = 180°

  135° +∠MPN = 180°

  ∠MPN = 45°

jessy bought 3 pairs of jeans for $71. how much would he need to play for 8 pairs of jeans

Answers

Answer:

3 pairs for $71 makes each pair about $23.67.

8 pairs would be around $189.36.

(I rounded to the nearest hundredth since the problem is about money and rounding to the second decimal place is standard.)

5)
Which expression is equivalent to the expression below? 15 - 7 +(-4) - (-8)
ircle the answer
15+ (-7) + 4 + 8
15 + 7 + 4 + (-8)
15 + (-7) + (-4) + 8
15 + 7 + (-4) + (-8)

Answers

Answer:

The first statement is correct(15+(-7)+4+8)=20

Please help whoever answers this correctly, I will mark your answer brainliest​

Answers

Answer:

A, E, F

Step-by-step explanation:

The area of a rectangle is 32 inches squared. If the length is 8 inches, what is the *perimeter* of the rectangle?

Answers

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

p = 8 + 16

p = 24

What is the product of 2x y and 5x – y 3? x2 xy x y2 y

Answers

The product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the two given polynomial (2x+y) and (5x-y+3), can be written as,

[tex](2x+y) (5x-y+3)\\\\= 10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-2xy+5xy+6x-y^2+3y\\\\=10x^2+3xy+6x-y^2+3y[/tex]

Hence, the product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).

Learn more about Polynomial:

https://brainly.com/question/17822016

Answer:

10, 3, 6, -1, 3

Step-by-step explanation:

If 2/3x - 1=4, then x =?

Answers

X=2/15

I 70% sure lol but I think that’s the correct answer

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Slope: 0.3

Step-by-step explanation:

When you turn the equation into as lope intercept form, it is easy to see the slope

Slope intercept form: y = mx + b

Y = y coordinate

M: slope

X : x coordinate

b = y intercept

y = 0.3x + 3.26

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Part A:-(Refer to the attachment)

Part B:-

For interpretation we need graph(attached)

Note that correlation coefficient is the linear correlation between two sets

express x^2-8x+5 in the form (x-a)^2-b where a and b are intergers

Answers

Answer:

(x - 4)^2 - 11

Step-by-step explanation:

Here, the question asks you to complete the square. The steps to do so are the following:

ax^2 + bx + c = a(x - b/2 x)^2 -(b/2)^2 + c

1. halve the x coefficient and put it with x as a binomial squared

2. minus the new coefficient squared

3. collect like terms

so let's do it for this question:

x^2 - 8x + 5

step 1:

half of -8, is -4, so we'll get:

= (x - 4)^2 + 5

However this isn't equal to x^2 - 8x + 5, but to x^2 - 8x + 16 + 5. Therefore we must get rid of 16 (step 2). You will notice 16 = (-4)^2 (from the first formula I gave.)

= (x - 4)^2 - 16 + 5

step 3:

= (x - 4)^2 - 11

Answer:

(x - 4)² - 11

Step-by-step explanation:

x² - 8x + 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

What volume of silver metal will weigh exactly 2500 grams? The density of silver metal is 10.5 g/cm^3

Answers

The volume of silver metal that will weigh exactly 2500 grams having a density of 10.5g/cm3 is 238.1cm3

What is density?

Density is the ratio of the mass of a substance to its volume.

Analysis:

Density = 10.5g/cm3 = mass/volume

10.5 = 2500/volume

volume = 2500/10.5 = 238.1g/cm3

In conclusion, the volume of silver metal to weigh exactly 2500grams is 238.1cm3

Learn more about density: brainly.com/question/1354972

#SPJ1

what is the greatest common factor of 36 6 and 48​

Answers

The greatest common factor of 36 and 48 is 12
6, 36, and 48 is 6

A sequence starts 5 10 20 40 80
What is the term to term rule of the sequence?

Answers

Geometric progression
The common ratio is 2

Brainliest plss!
Have a good day :)

Answer:

5n

d=10-5

=5

a=5

n=a+ (n-1)d

=5+(n-1)5

=5+5n-5

=5n

Question 8 of 40
Factor this polynomial completely.
x2 + 3x - 18
O A. (x-2)(x + 9)
O B. (x+3)(x-6)
O C. (x - 3)(x-6)
O D. (x - 3)(x+6)

Answers

Answer:

[tex]D.\:\left(x-3\right)\left(x+6\right)[/tex]

Step-by-step explanation:

[tex]x^2 + 3x - 18[/tex]

[tex]\left(x^2-3x\right)+\left(6x-18\right)[/tex]

[tex]\left(x^2-3x\right):x\left(x-3\right)[/tex]

[tex]\left(6x-18\right):6\left(x-3\right)[/tex]

[tex]x\left(x-3\right)+6\left(x-3\right)[/tex]

Factor, common term:- x-3

[tex]\left(x-3\right)\left(x+6\right)[/tex]

~

Jenna bought a savings certificate that earned 2% simple interest per year. She earned a total of $100 in interest over 4 years. What was the initial value of the certificate?

Answers

Answer: Below

Step-by-step explanation:

An interesting part of this problem is that it derives off of Exponential growth formulas.

So by plugging in the values in the Exponential growth:

[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]

What's important is we know the increasing factor, so:

[tex](1.02)^{4} = 1.0824[/tex]

So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.

x * 0.0824 = 100
x = 100/0.0824

x = 1213.59

The answer is approximately 1213.59

5/7 - 2/4

Please answer asap!

Answers

Answer:

5/7 -2/4

5×4-2×7/28

20-14/28

6/28

0.21

A new can costs $24,595. The tax rate in the city where the car is sold is 6%. What is the tax paid on the car?​

Answers

Your answer is 1475.7 for the tax

It takes 0.0015 quart of paint to cover 1 square inch.
How many quarts of paint will be used on your rectangular canvas?
*Write the equation below for you how solved.
2 pts

0.0090
Each quart of special paint cost $2.75
Based on the total amount of paint needed, what will be the cost of paint to cover show your work FAST

Answers

The total amount of paint needed is 15 quart and it cost $41.25.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

Find out more on equation at: https://brainly.com/question/2972832

Find the value of p and q form the following equal ordered pairs: (8q-2,2-7q)=(6,q+6)​

Answers

Compare both pairs

[tex]\\ \rm{:}\dashrightarrow 8q-2=6[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=6+2[/tex]

[tex]\\ \rm{:}\dashrightarrow 8q=8[/tex]

[tex]\\ \rm{:}\dashrightarrow q=\dfrac{8}{8}[/tex]

[tex]\\ \rm{:}\dashrightarrow q=1[/tex]

And

[tex]\\ \rm{:}\dashrightarrow 2-7p=p+6[/tex]

[tex]\\ \rm{:}\dashrightarrow 2-6=8p[/tex]

[tex]\\ \rm{:}\dashrightarrow p=-1/2[/tex]

this is just a test for questions,i already know the answer. 9x4?

Answers

Answer:

if you know why do that but the answer is

36

I know I would like to do that too but that's wrong even if you are New to brainly

36 9x4=36 this will give points right rate it 5 stars

Shawna weighs 120 pounds. If one pound is approximately.45 kilograms, how many kilograms does Shawna weigh?

Answers

Answer:

I'm not sure if it's .45 or just 45 so I'll do both

0.45 x 120 = 54

45 X 120 = 5400

I don't think a person would weigh 5400kg

Pls do it 30 points...pls pls ps

Answers

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

give your answer in of pi units 14cm

Answers

Answer:

incomplete question

Step-by-step explanation:

you are required to give the circumference and the diameter in order to complete this equation

In the expression PV^7/5 P represents the pressure and V represents the volume of a sample of a gas. Evaluate the expression for P = 6 and V = 32

Answers

The value of the expression is 6.87 x 10⁹.

Value of the given expression

The value of the given expression is calculated as follows;

(PV⁷) /(5P)

where;

P is given as 6V is given as 32Substitute the given values in the expression

The value of the expression is obtained when the given value is substituted as shown below;

(PV⁷) /(5P) = (6 x 32⁷) / (5 x 6)

                 = 32⁷/5

                 = 6.87 x 10⁹

Thus, the value of the expression is 6.87 x 10⁹.

Learn more about substitution method here: https://brainly.com/question/22340165

How do you find the slope of a line when you are given 2 points?

Answers

Answer: Since the slope of a line is the change in y divided by the change in x, given two points (x1,y1) and (x2,y2) we can find the slope by calculating (y2-y1)/(x2-x1).

Answer:

Use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where x_1 and y_1 are the coordinate of one point, and x_2 and y_2 are the coordinates of another (different) point.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4 mm
What is the surface area of this cube?
A. 16 mm2
B. 48 mm
C. 64 mm
D. 96 mm

Answers

Answer:

It is surely 16mm2, because a cube is always two-dimensional.

Step-by-step explanation:

This means that it has to be a value with mm2!

Hope I helped!

Answer:

calculate the value of × if :

72:64=×:16

Divide 200 into the following ratio
1:3
PLEASE GIVE STEP BY STEP
explanation

Answers

Answer:

1x+3x=200

4x=200

x=50

1x=50 x=50

4(50)=150

then the answer is 50 and 150

2/3x + 5=1
what is the solution for the equation

Answers

Hey there!


2/3x + 5 = 1


SUBTRACT 5 to BOTH SIDES

2/3x + 5 - 5 = 1 - 5

SIMPLIFY IT!
2/3x = 1 - 5

2/3x = -4


MULTIPLY 3/2 to BOTH SIDES

2/3x * 3/2 = -4 * 3/2


SIMPLIFY IT!

x = -4 * 3/2

x = -6


Therefore, your answer is: x = -6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

2/3x + 5=1

To solve for x, we must isolate it by administering inverse operations.

In this equation, we can see 2/3x is being added to 5.

We should discard the constants first.

The inverse operation of addition, is subtraction.

So we subtract 5 from both sides;

-5        -5

2/3x = -4

Now, we are left with a coefficient, so to get rid of the coefficient we utilize the inverse operation of multiplication, which is division.

Dividing by 2/3 is the same as multiplying by 3/2.

So multiply both sides by 3/2;

*3/2    *3/2

x = -4(3)/2

x = -12/2

x = -6

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