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A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at

Vedmedyk [2.9K]

The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.

Rest Area=((1+7)/2, (-4+1)/2)

Rest Area=(4, -1.5)

The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.

d^2=(x2-x1)^2+(y2-y1)

d^2=(7-1)^2+(1--4)^2

d^2=36+25

d^2=61

d=√61 and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:

D=5.38√61 mi

D≈42.02mi (to nearest hundredth of a mile)

3 0

3 years ago

Juan went to Walmart to buy notebooks and

9966 [12]

Answer:

Juan went to Walmart to buy notebooks and

highlighters for his classes. Notebooks cost $3

while highlighters cost $4. Juan bought 12 items

and he spent a total of $42. Write a system of

equations that describes this situation

Step-by-step explanation:

3+4÷42

8 0

3 years ago

All of the following relations are functions, except A) y = x2. B) x = y2. C) y = |x|. D) y = x .

elena-s [515]

B) x = y^2 because it fails the vertical line test making it not a function

7 0

3 years ago

Read 2 more answers

Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative

qwelly [4]

Answer:

$E(n)=75000 \times 2^n$

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be $2^n$ times

So, her earning will be : $75000 \times 2^n$

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes : $E(n)=75000 \times 2^n$

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's is $E(n)=75000 \times 2^n$

4 0

3 years ago

Joseph's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax

ryzh [129]

Answer:

The total cost of the lunch including the tip is $15.21.

Step-by-step explanation:

To find the total cost of the lunch including the tip, first, you need to calculate 17% of the price of the lunch as the statement indicates that that is the tip Joseph leaves the waiter:

$13*17%=$2.21

Now, you need to add that amount to the price of the lunch:

$13+$2.21=$15.21

According to this, the answer is that the total cost of the lunch including the tip is $15.21.

4 0

2 years ago