Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan rides at a constant speed of 8 miles per hour, and Nathan rides a constant speed of 10 miles per hour. How long does it take until Reagan and Nathan meet?

Answer:

We have a line that passes through points C and D.

a) Points C and D determine one unique line

This is true, there is only one line that passes through a given pair of points, then we can call this line as  "Line CD".

b) There are infinitely many points between points C and D.

This is also true, if we define the points with real numbers in R^2, we will have a dense set, which means that between C and D we can find infinite points.

c) The distance from C to D is equal to the distance from D to C.

Also true, the distance between two points C = (cx, cy) and D = (dx, dy) is defined as:

D = √( (cx - dx)^2 + (cy - dy)^2)

And because we have squares, this will be exactly the same as:

D = √( (dx - cx)^2 + (dy - cy)^2)

Then the distance from C to D, is exactly the same as the distanco from D to C.

d) Any line segment that contains point C must also contain point D.

This is false, we can define infinite segments where the endpoint is C, and does not pass through point D (some examples are given in the image below) So this is the only false option.

Answer:

Step-by-step explanation:

2x - y = 5

x + y = 13

3x = 18

x = 6

6 + y = 13

y = 7

(6, 7)

Answer:

the answer is (6,7)

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{2} x-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

Answer:

The range is:

{-4, 1, 2, 5, 8}

Step-by-step explanation:

Given the function

[tex]f(x)=3x+2[/tex]

As the domain interval -2 ≤ x ≤ 2

i.e. the values in the domain = {-2, -1, 0, 1, 2}

As the domain interval -2 ≤ x ≤ 2

Putting all the x-values in the domain interval in the function

so

putting x=-2 in the function

[tex]f(x)=3x+2[/tex]

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

putting x=-1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(-1)=3(-1)+2=-3+2=1[/tex]

putting x=0 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(0)=3(0)+2=0+2=2[/tex]

putting x=1 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(1)=3(1)+2=3+2=5[/tex]

putting x=2 in the function

[tex]f(x)=3x+2[/tex]

[tex]f(2)=3(2)+2=6+2=8[/tex]

Thus, when we put the domain values, the corresponding range values are:

x           y

-2         -4

-1           1

0           2

1             5

2            8

Therefore, the range is:

{-4, 1, 2, 5, 8}

Answer:

75

Step-by-step explanation: 2 times 30 is 60  30 divide by .5 is eqaul to 15 becasue it is half

and 60+15=75

Answer:

75 is the anwer

Note: you did not add the answer options, so I am solving this question generally to solve your query, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]y= 4x + 9[/tex]

All we need is to find any random value of 'x' and then solve for 'y'.

For example, putting x=2

[tex]y= 4x + 9[/tex]

[tex]y=4(2)+9[/tex]

[tex]y=8+9[/tex]

[tex]y=17[/tex]

Thus, (2, 17) is one of the many ordered pairs solutions of the equation.

Similarly, putting x=3

[tex]y= 4x + 9[/tex]

[tex]y=4(3)+9[/tex]

[tex]y=12+9[/tex]

[tex]y=21[/tex]

Thus, (3, 21) is one of the many ordered pairs solutions of the equation.

Answer:

d

Step-by-step explanation:

Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

Learn more about open and closed circles here

https://brainly.com/question/12803998

#SPJ2

Answer:

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

Answer:

(x,y)= (-3,-6)

Step-by-step explanation:

Answer:

Substitution substitution

Step-by-step explanation:

(-3,-6)

or

x= -3 y=-6

Answer:

87.96 cm

Step-by-step explanation:

I had this answer up but it got deleted for sum reason....

Answer:

9

−2^2−(3)(−2)+7

=−4−(3)(−2)+7

=−4−(−6)+7

=2+7

=9

Answer:

i dont know sorry

Step-by-step explanation:

i  dont understand i just watch anime all day

Answer:

Free points? idek sorry.

Step-by-step explanation:

Answer:

John's and Amber's wages are proportional to time. John's unit rate it $9 per hour. Amber's unit rate is $8 per hour

Step-by-step explanation:

The table(johns) shows this because he earns $9 more for every extra hour he works. this makes the unit rate $9 an hour.

The graph(ambers) shows that her pay increases at a steady rate, hitting a multiple of 8 every hour. This makes the unit rate $8 an hour.

Answer:

18423

Step-by-step explanation: 18423 (I think this is correct. Sorry if this didn't help.)

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Here we see that any value x smaller than -8 would work as a solution in the inequality.

Answer:

C.

Step-by-step explanation:

Answer:

C: For sure

Step-by-step explanation:

Answer:

X = -4

Step-by-step explanation:

Because both sides are equals, then:

X-3 = 2X-7

2X-X = -7+3

X = -4

Answer:

OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOooooooooooooOOOOOOOOOOOOOOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFFFFFFFFFFFFfffffffffffff

Step-by-step explanation:

You did the same thing to me

Answer:

A.The corresponding angles of a shape and its dilation are congruent.

Step-by-step explanation:

Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.

Thus, the respective angles of the given shape and its image are the same.

The appropriate answer to the given question is A.

Answer:

62

Step-by-step explanation:

please mark me as brainliest

Answer:

Option 1:

f(n) = 1000(1.1)ⁿ

Option 2:

1000 + 100n

Answer:

2\((x^5)(3))

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

that shows

0+4.5=4.5-2.5=2