What is the constant of proportionality for the relationship represented by this graph?

Answer:

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                y + 7 = -7(x - 3)

This is an algebra expression. What we do is write it down in simplest form.

1. Write down equation

= 17 - 3 x n

= 3 x n + (-17)

I hope this answer helped. Have a great day everyone!

Answer:

the last one and the second one I think. Maybe the first one not very sure.

Answer:

[tex]T_n = -97n[/tex]

Step-by-step explanation:

The actual sequence is: -97, -194, -291, -388

Required

Determine the nth term

nth term of an arithmetic progression is:

[tex]T_n = T_1 + (n - 1)d[/tex]

Where

[tex]T_1 = First\ Term = -97[/tex]

[tex]d = Common\ Difference = -194 - (-97) =-97[/tex]

So:

[tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_n = -97 + (n - 1) * -97[/tex]

[tex]T_n = -97 -97n + 97[/tex]

Collect Like Terms

[tex]T_n = -97n + 97-97[/tex]

[tex]T_n = -97n[/tex]

Hence, a term of the sequence is:

[tex]T_n = -97n[/tex]

Answer:

6732FDX

Step-by-step explanation:

Use calculator

Answer:

4/3 or 1.3

Step-by-step explanation:

y= 3x-4

To find x- intercept/zero, Substuite y=0.

0= 3 x -4

Move the variable to the left-hand side and change its sign

-3x= -4

Divide both sides of the equation by -3

x= 4/3

(1.3 as a decimal)

Answer:

The most specific way you can name this shape is parallelogram.

4x-5=x+13 is the equation that can be used to solve for x.

3x = 18

x is equal to 6

AC is equal to 2*(6+13) = 2*19 = 38

Answer:

Step-by-step explanation:

sinA = sinB

  a         b

sin(117) = sin(12)

   a             12

a * sin(12) = 12 * sin(117)

a = 12 * sin(117)

         sin(12)

a = 51.4

Answer:

(5x-1)(3x+2)

(if you don't want to do all of this you can use

Step-by-step explanation:

((3•5x2) +  7x) -  2

Factoring  15x2+7x-2

The first term is,  15x2  its coefficient is  15 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   15 • -2 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   7 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  10

                    15x2 - 3x + 10x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (5x-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (5x-1)

Step-5 : Add up the four terms of step 4 :

                   (3x+2)  •  (5x-1)

            Which is the desired factorization

Answer:

(5x-1)(3x+2)

Step-by-step explanation:

hope this helps!!

Answer:

color = input("What color? ")

if (color == "yellow"):

  print("Correct!")

else:

  print("Nope")

Answer:

In a mixture, substances are generally just mixed and are not completely dissolved. In a solution, substances are dissolved completely and they cannot be filtered out. Mixture comprises two or three compounds that aren't fused chemically. They have no physical interaction

Step-by-step explanation:

Answer:

30 i could be wrong

Step-by-step explanation:

sorry

Answer:

24:56

Simplified: 8:7

Step-by-step explanation:

Answer: 4.126 km

Step-by-step explanation:

First, We have to find total span of both bridges

As Question indicates 'total' ,that is, we have to find bridge length in total ( You can join Bridges to have better understanding)

Now, Walkway over hundson Bridge length= 2.063 km

Amping bridge length= 2.07 km

So, Total span of both bridges = 2.063+2.07 = 4.133 km

b) Now Leah wanna walk across and back on walkway over hudson ,that is, she wanna return to starting point from where she walk forth

So,that means, she walk double distance of length of walkway over hudson

So, total distance = 2× 2.063

= 4.126 km

hope this helps,

Plzzs give brainliest if you like my answer.

Step-by-step explanation:

When we say sum we are referring to addition.

And a number and a variable(letter) can't be added. So the sum of 8 and t can't be added.

The sum of 8 and t is;

8+t

When we talk about product or finding the product of a number we are referring to the number we get after multiplying two or more numbers.

And note that with multiplication, a number and a variable(letter) can be multiplied.

The product of 5 and b is;

5×b=5b

Answer:

x = 56

Step-by-step explanation:

6 - 2x = 62 - 3x

-2x + 3x = 62 - 6

1x = 56

x = 56

6 - 2(56) = 62 - 3(56)

6 - 112 = 62 - 168

-106 = -106

I don't understand the answer choices that are given. Please mark me the Brainliest!?!

Answer:

Step-by-step explanation:

Answer:

Yes it is yellow

Step-by-step explanation:

You are correct

Point C is 1 unit above the X axis and point c’ is 1 unit below the x axis, because they are equal distance from the x axis the line of reflection is the x axis

The answer is c.

Answer:

C

Step-by-step explanation:

Answer:

A) 15x - 12

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x(3 - 12x) - 3(4 - 20x²)

Step 2: Simplify

Answer:

28.25

Step-by-step explanation:

Answer:

11n-9

Step-by-step explanation:

6n-4+5n-5

11n-4-5           Combine like terms

11n-9

Answer:

$8960

Step-by-step explanation:

Given

principal =  $8000

rate= 3%= 0.03

time = 4 years

Required

the final amount, we assume that this is a simple interest investment.

Step two:

[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]

The final amount in the account is $8960

Answer:

54

Step-by-step explanation:

First add 7 to both sides to cancel out the -7

y/6-7(+7)=2(+7)

Then, multiply 6 to both sides to cancel the 6

y/6(6)=9(6)

y=54

Answer:

4.79 x 21 = 101 (rounded up from 100.59)

Step-by-step explanation:

Answer:

C.) the length of the arc it intercepts is the same as the length of the radius

Step-by-step explanation:

The length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).

As we know, the relationship between arc length and the central angle:

s = rθ

[tex]\rm \theta = \dfrac{s}{r}[/tex]

Where 's' is the arc length and θ is the central angle, r is the radius of the circle.

If θ = 1 radian

Then,

s = r

Thus, the length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2