This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x

Answer:

The Slope of Line 1 is ->  [tex]-\frac{2}{9}[/tex]

The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex]  ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

Answer:

-9/x-1

The top one.

Answer:

10 melons

Step-by-step explanation:

The rate of change is 10.

30 : 1

300 : x

Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10

So it would look like this -

30 : 1

300 : 10

hope this HELP! :)

Answer:

45

Step-by-step explanation:

Answer:

1.782

Step-by-step explanation:

8.91 ÷ 5= 1.782

Answer: 1.782

Step-by-step explanation:

Divide  8.91  by  5

1.782

The question is incomplete. Here is the complete question.

If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.

Answer: QS = 68 units

Step-by-step explanation: The figure below shows a line segment QT.

To determine QS, first, determine value of x:

RT = RS + ST

[tex]8x-43=2x-4+4x-1[/tex]

[tex]8x-43=6x-5[/tex]

2x = 38

x = 19

Now, we determine QS:

Midpoint is a point dividing a line segment in two equal parts.

Then, QR = RS.

QS = QR + RS

QS = 2RS

[tex]QS=2(2x-4)[/tex]

[tex]QS=4x-8[/tex]

Substituting x = 19:

[tex]QS=4.19-8[/tex]

QS = 68

The segment QS is 68 units.

Answer: x = 1

Step-by-step explanation:

I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.

Step 1: Draw a line containing all the points

R is in between point Q and point S, while T is last, based on alphabetical order.

Illustration:

         2x - 4   Tx - 1

Q       R       S       T

             8x - 43

Step 2: Find T's value

To find t, create the substitution equation RS + ST = RT

2x - 4 + tx - 1 = 8x - 43

-2x                     -2x

-4 + tx - 1 = 6x - 43

tx - 5 = 6x - 43

tx = 6x - 38

tx/x = 6x/x - 38

t = 6 - 38

t = -32

This is the value of t

By the way, there is no correlation between point T and the variable t.

Step 3: Find x's value

Now that we know what t is, we can solve for x

2x - 4 -32x - 1 = 8x - 43

-30x - 5 = 8x - 43

+30x        +30x

-5 = 38x - 43

+43         +43

38 = 38x

38/38 = 38x/38

1 = x

This is the value of x

Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

32+20=52

8+5=13

52/13=4

Answer:

5c-5=45

Step-by-step explanation:

Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.

Answer:

Pat Pet's Palace

Step-by-step explanation:

Price of dog food at Pat Pet's Palace = $3 per pound

Price of dog food at Mark's Mutt Market can be estimated using the graph given.

The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x

Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.

This means the price of dog food at Mark's Mutt Market is $4 per pound.

Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Answer:

The correct choice is the one on the bottom right.

Answer:

-14

Step-by-step explanation:

I might be wrong, but this is my interpretation of the problem.

To solve this problem, find the endpoints of the line in the interval. Then draw a line between those two points. Finally, find the slope of the line that passes between the two points.

The line is f(x) = -2x^(2) + 2x + 1

The interval (in standard notation) is (3 [tex]\leq[/tex] x [tex]\leq[/tex] 5)

So when x = 3,

-2x^(2) + 2x + 1

-2(3)^(2) + 2*3 + 1

-2 * 9 + 6 + 1

-18 + 7

- 11

One endpoint is: (3, -11).

When x = 5

-2x^(2) + 2x + 1

-2(5)^2 + 2*5 + 1

-2 * 25 + 10 + 1

-50 + 11

-39

The other endpoint is; (5, -39).

Find the slope of a line passing through these two points.

The formula to find the slope of a line is:

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]x_{1}[/tex] = 3

[tex]y_{1}[/tex] = -11

[tex]x_{2}[/tex] = 5

[tex]y_{2}[/tex] = -39

((-39) - ( -11))/((5) - (3))

Simplify

-28/2

-14

Answer:

the rate of change is constant

Step-by-step explanation:

Answer:

3/5 = 6/10, which is 0.6 in decimal form

Answer:

80 labels

Step-by-step explanation:

The number of packages are 16 envelopes and 20 envelopes

We solve using LCM Method

We find the Multiples of 16 and 20

Multiples of 16:

16, 32, 48, 64, 80, 96, 112

Multiples of 20:

20, 40, 60, 80, 100, 120

Therefore,

LCM(16, 20) = 80

The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels

Answer:

80 labels

Step-by-step explanation:

Answer:

B) 176 ft²

Step-by-step explanation:

Answer:

39.53 ft2

Step-by-step explanation:

If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.

Now you have to find the area of the rectangle, 3*12 = 36.

36 + 3.53 = 39.53 rounded.

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem

Answer:

13

Step-by-step explanation:

Not sure, i'm sorry

should be the same logic as

a=b

b=c

a=c

Answer:

Exact Form:

6/133

Decimal Form:

0.04511278

Step-by-step explanation:

Answer:

5/7

Just add 2 and 3

The correct answer is 5/7.

Hope you have a great day!

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 are 1.

PLS GIVE BRAINLIEST

Answer:

$1,030

Step-by-step explanation:

Step 1- Multiply One way tickets by How much the tickets cost:

35 x 14= 490

Step 2- Multiply Round trip tickets by how much the tickets cost:

20 x 27= 540

Step 3- Add both sums together:

490 + 540= 1,030

Therefore, the answer is $1,030

The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.

Answer:

The point Q is (2,3)

Step-by-step explanation:

Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).

The required point Q must satisfy the relation:

d(RQ) = 2/3 d(RS)

Where d is the distance between two points.

The horizontal and vertical axes also satisfy the same relation:

x(RQ) = 2/3 x(RS)

[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]

And, similarly:

[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]

Working on the first condition:

[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]

Removing the parentheses:

[tex]-2-x=-4[/tex]

Adding 2:

[tex]-x = -2[/tex]

x = 2

Similarly, working with the vertical component:

[tex]1-y=2/3(1-4)=2/3(-3)[/tex]

Removing the parentheses:

[tex]1-y=-2[/tex]

Subtracting 1:

[tex]-y = -3[/tex]

y = 3

The point Q is (2,3)

Answer:

$3.12

Step-by-step explanation:

A quart is 4 cups

Divide the Price $12.48 by 4 = $3.12 a cup

Answer:

12.9

Step-by-step explanation:

tan⁡θ=opp/adj

tan 24° = x/29

x = 29 tan 24°

x = 12.9

Step-by-step explanation:

2×+6 + 5 = X+10

2x -x =10 -11

x= - I

BC = 2(-1) + 6=4

AC = -1+10 = 9