2 1/6 x 4 1/2 Solve the problem AND explain your steps

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

75

Step-by-step explanation:

Answer:

(6,-9)

Step-by-step explanation:

Answer:

x=6 y=-9

Step-by-step explanation:

Answer:

I don't know.

Step-by-step explanation:

Answer: 19

Step-by-Step explanation:

So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.

Answer:

2A=A+A

Step-by-step explanation:

2A=A*A, not A+A

Answer:

1/2 of the class

give brainliest if it helps

Answer:

linear or Quadratic

i hope it works

Answer:

A. (3,2) . I recommend using desmos to find the coordinates

9514 1404 393

Answer:

  A.  (3, 2)

Step-by-step explanation:

The midpoints of the diagonals are the same point, so you have ...

  X = (A +C)/2 = (B +D)/2

  A +C = B +D . . . . . . . multiply by 2

  A +C -B = D . . . . . . . subtract B

The coordinates of D are ...

  D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)

  D = (3, 2)

Answer:

When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.

Step-by-step explanation:

Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?

Answer:

its 2.4

Step-by-step explanation:

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

it does not represent a function

Step-by-step explanation:

it is not liner

Answer:yes

Step-by-step explanation:

each x value has one y value

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

i would ask someone else sorry

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

divide both by 6.

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

Answer:

I tried A.

Step-by-step explanation:

It's all like a fraction & multiplication type answer im if wrong correct me!

Answer:

i feel like it would be B

Step-by-step explanation:

Hopefully this helps!!!

Answer:

4:5

Step-by-step explanation:

You are doing ratios

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

Answer:

Amount of money Naviah spends each week  is ranged from 18 to 30

( 18 ≤ m ≤ 30 )

Step-by-step explanation:

Let Naviah buys gas each week = x gallons

As given,

Naviah buys at least 8 but no more than 12 gallons of gas each week.

⇒8 ≤ x ≤ 12

Now,

Let the price of gas each week  = p

As given,

The price of gas ranged from 2.25 to 2.50 per gallon each week.

⇒2.25 ≤ y ≤ 2.50

Now,

Amount of money spend (m) = (Total gas buy)(Price of gas)

                                              = xy

⇒ m = xy

Now,

we have

8 ≤ x ≤ 12 and 2.25 ≤ y ≤ 2.50

Multiply both the inequality , we get

8×2.25 ≤ x.y ≤ 12×2.50

⇒18 ≤ xy ≤ 30

⇒18 ≤ m ≤ 30

∴ we get

Amount of money Naviah spends each week  is ranged from 18 to 30.

Answer: 12%

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2x-x=-5+2

x = -3

Answer:

3x+7-x-13

3x-6-x

=2x

pls mark brilliance if im right