Your family drives across Kansas on Interstate 70. A sign reads, “Wichita 90 mi, Topeka 110 mi”. What is the possible range of distances between the two cities given that the cities are not collinear?

Answers

Answer 1

Answer:

20 miles < The distance between the cities < 200 miles

Step-by-step explanation:

The given information on the sign = "Wichita 90 mi, Topeka 10 mi"

Given that the two cites are not colinear, we have;

The number of points specified in the figure = 3 points

The specified points are;

1) The location of the family

2) The location of Wichita, relative to the family's location, = 90 mi

3) The location of Topeka, relative to the family's location, = 110 mi

Therefore, given that the three points are not colinear, they form the vertices of a triangle

The legs of the triangle are 90 mi and 110 mi

The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles

The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles

Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.

Which gives;

20 miles < The distance between the cities < 200 miles.


Related Questions

The point (0,50) identifies the unit rate as 50.
True or false

Answers

I think it’ssss true

A polygon is shown



If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates

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Answer:

A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps

What is the value of X?
Please Help me

Answers

Answer:

The answer would be c- 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=1/2

volume d'un cube= x^3

donc (1/2)*(1/2)*(1/2)=1/8

if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.​

Answers

Answer:

               [tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]

Step-by-step explanation:

[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]

What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5​

Answers

Slope Intercept Form: y = mx + b

m = slope
b = y-intercept

y = -1/5 + 1

You get the y-int, 1, from the ordered pair (-5,1)

The 1 from

Answer: Y=1/5x-2

Step-by-step explanation:

PLEASE HELP!!
6. mZ1 = (3x + 10)
m24 = (4x - 15)
What is the m<7?

Answers

Answer:

95°

Step-by-step explanation:

1 is opposite to 4. So, (3x+10)° = (4x-15)°

3x + 10 = 4x - 15

10 + 15 = 4x - 3x

25 = x

m(4) = 4x - 15 => 4.25 - 15

100 - 15 = 85 = m(4)

7 is opposite to 6 and 6 is parallel to 4. So, m(4) + m(6) = 180°

85° + m(6) = 180°

m(6) = 95°

6 is opposite to 7, so m(6)=m(7) and answer is 95°

Hope this helps ^-^

Increase £30 by 2/5?

Answers

2/5 of 30 = 12
30 + 12 = 42
£42

Sound policy requires that a certain number of trees be planted for every tree that is cut down for example of 8 trees are cut down 48 trees will be planted a homeowner is going to cut down five trees on his property how many trees will be planted 1/5 are cut down

Answers

Answer:

30 trees

Step-by-step explanation:

Given the policy:

8 trees are cut down 48 trees will be planted

If homeowner is going to cut down five trees on his property how many trees will be planted

Since :

8 trees cut down = 48 planted

5 trees cut down = X

Cross multiply :

8 * X = 48 * 5

8X = 240

X = 240/8

X = 30

Hence, 30 trees will need to be planted

Answer: 30

Step-by-step explanation: because i had that question

Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Please show your work

Answers

Answer:

4+1=m??? I think

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

help!!! I don't know this ​

Answers

Answer: A. Graph c nkkhgthjnvcf

Answer:

Graph C

The Y axis is up and down and the x axis is side to side. So first we want to look to see which line crosses the y axis the the up and down black line.

When you are finding a coordinate you set it up like this (x, y). You will find x first and y second.

So we are down to two graphs graph a and graph c. Know both of them cross at the (0,-7) mark but it asks for one other thing a well.

On a graph when something decreases it will go down and when something increases it will go up. So that tells me it is graph C.

Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

The y intercept of the line whose equation is 7x - 4y=8
7/4
8
-2

Answers

Answer:

y intercept is -2.

Step-by-step explanation:

Convert the equation to slope-intercept form, or in other words, isolate the y variable. You should get y=(7/4)x-2. the -2 is the y intercept.

Hope this helped!

An initial investment of $500 is made in an account which earns 6% interest compounded
semiannually. Which of these equations gives the value of the investment after t years?​

Answers

Answer:

A = 500(1+6%/2)^2t

Step-by-step explanation:

Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .

i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75

A = 562.75$ for two years

(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2

Answers

The answer would be 4,2 100%

Answer:

B. (2,4)

Step-by-step explanation:

To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side. 5 + y = 7

Answers

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

Given

[tex]5 + y = 7[/tex]

Required

Solve

From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:

[tex]5 + y = 7[/tex]

[tex]-5 + 5 + y = 7 - 5[/tex]

[tex]0 + y = 2[/tex]

[tex]y = 2[/tex]

I need help plz.

What is the slope of the line shown on the graph to the​ right?
The slope of the line is .....................

Answers

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line

m = [tex]\frac{6-0}{4+8}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)

Answers

Answer and  explanation:

4294967296 nuts

Please find attached

Answer:

127 nuts

Step-by-step explanation:

there is no explenation here... the answer is 127 nuts

what is the reduced ratio of 24:96

Answers

Answer:

Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4

Your answer is: 1:4

Step-by-step explanation:

Hope this helped : )

Answer:

1:4 is your ans

Step-by-step explanation:

please mark as brainliest

A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?

Answers

So it was at 45%, and now it’s at 92%. So 92-45 equals 47, and so it changed by 47%. Hope this helps :)

Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can​

Answers

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

question in the picture:)

Answers

Answer:

$1.25

Step-by-step explanation:

10/8=1.25

Answer: $1.25

Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25

-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.

Answers

Answer:

x = 14/-7

x = -2

It has ONE SOLUTION

Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :

Answers

Answer:

z < 4 or z > -6

Step-by-step explanation:

5z < 20

z < 4

or

z > -6

z < 4 or z > -6

What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Put your answer in fully reduced form.

Answers

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

[tex]y = m\cdot x + b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:

[tex]b = 3[/tex] (Eq. 2)

[tex]5\cdot m + b = -3[/tex] (Eq. 3)

The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is six more than three times the first number. Find the three numbers

Answers

Answer:

          21, 33 and 69

Step-by-step explanation:

x        - the first number

2x      - two times the first number

2x-9     - 9 less than two times the first number = the second number

3x      - three times the first number

3x+6     -  six more than three times the first number = the third number  

The sum of three numbers is 123:

x + 2x-9 + 3x+6 =123

    6x - 3 = 123

      6x = 126

        x = 21

2x-9 = 2•21-9 = 33

3x+6 = 3•21+6 = 69

Check:  21+33+69 = 123

PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST

Answers

I think that’s it hope it helps

5x=y is it Proportional or not and if it is proportional whats the constant proportionality

Answers

Answer:

Yes, 5x = y is Proportional and, the constant of proportionality is 5

Step-by-step explanation:

If x and y are proportion, then

y = k x is the equation of the proportional, where k is the constant of proportionalityIt represented graphically by a line passes through the origin (0, 0)

∵ 5x = y

→ Switch the two sides

y = 5x

→ Check it if passes through the origin point or not

∵ At x = 0, y = 5(0) = 0

(0, 0) is a point y = 5x

∴ y = 5x represented graphically by a line passes through the origin

x and y are proportion

y = 5x is the equation of proportional

→ By comparing it with the form of the equation above

k = 5

Find the fifth term of the sequence
3, 5, 9, 17, _

(If you need help: The rule of the following sequence is k = 2n +1 )

Answers

Answer:

33

Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16

what is the slope of a line passing through (-3,-4) and (3,4)

Answers

Answer:

4/3

Step-by-step explanation:

you use slope formula

What are the values of x and y?

Answers

X= 35 degrees (opposites are congruent)
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