1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergeinik [125]
3 years ago
14

The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200

miles. Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0
We know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

Let 

A------> Lincoln, NE

B------> Boulder, CO

C------> third city


we know that

in the triangle ABC

AB=500 miles

BC=200 miles

AC=x


Applying the Triangle Inequality Theorem

1) 500+200 > x------> 700 > x------> x < 700 miles

2) 200+x > 500----> x > 500-200------> x > 300 miles


the solution for x is 

300 < x < 700

the interval is------> (300,700)

the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
gavmur [86]3 years ago
5 0

Answer:

300 and 700 I just did it I hoped it helped

You might be interested in
Plot the flowing points on the number line without measuring.​
N76 [4]

Answer:

1/4, 3/5, 8/10

Step-by-step explanation:

3/5 is greater than 1/4

(2/4 is equal to 2.5/5---that should give you a visual picture why)  

8/10 is greater than 3/5

3/5 multipled by 2 is 6/10

so, 6/10<8/10

3 0
2 years ago
Read 2 more answers
Someone help Me it’s timed!!!
Orlov [11]

Answer: v=42

Step-by-step explanation:

18+(6)(4)

3 0
3 years ago
Read 2 more answers
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options
Sholpan [36]

Answer:

The answer is A and E

x2+(y−3)2=36

x^{2}+(y+8)^{2}=36x2+(y+8)2=36

4 0
3 years ago
Read 2 more answers
What is the value of the function at x = 3?<br><br> Enter your answer in the box.
Ainat [17]
When x is 3, y is 4
To do this, go to the right 3 units and go up until the line intersects with a grid point
At three, y is 4
Hope this helps!
5 0
3 years ago
Read 2 more answers
Can you help me with this please..
jonny [76]

Answer:

0.5

Step-by-step explanation:

Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.

We want to combine the two fractions into one fraction. Therefore, we need a common denominator.

1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).

the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)

which simplifies to (x-1)/(x^2-1).

and that simplifies further to 1/(x+1).

Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.

limx->1 (1/(x+1)) = 1/2.

The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.

8 0
3 years ago
Other questions:
  • simplify 3/18 ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????
    11·1 answer
  • What's the answer for 1.2x=6
    9·2 answers
  • PLEASE ANSWER BOTH OF THEM ASAP!!!!
    13·2 answers
  • you find a triangle that has an area of 10 sq ft. the height of the triangle is 10 feet. what is the length of the base of the t
    7·1 answer
  • 5x23x2 is this associative?
    9·2 answers
  • Mechanico Inc. wants to buy a machine that costs $45,000. It expects that the machine will yield $30,000, 520,000, and $15,000 f
    15·2 answers
  • WILL MARK BRAINLIEST!!!!!!!
    5·2 answers
  • Helen puts 50 marbles into 9 jars. First, she puts in the greatest
    8·1 answer
  • If x increases by 2, y increase by
    8·1 answer
  • What is the atomic number of an atom?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!