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
Sidana [21]
3 years ago
10

Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a st

raight line. The distance from Portland to Tacoma is 120 miles. The distance from Portland to Seattle is 145 miles. Find the distance from Tacoma to Seattle.

Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

Distance: 25 miles

Step-by-step explanation:

we have distances between cities as follows:

From Portland to Tacoma: 120 miles

from Portland to Seattle: 145 miles

120+x=145 ⇒ x = 145 - 120 = 25 miles

from Tacoma to Seattle : 25 miles (according graph)

You might be interested in
A function is shown in the table:
Ipatiy [6.2K]

Answer:

The function is increasing from x = -2 to x = -1.

Step-by-step explanation:

The graph starts at -2 and is increasing by 1. it would not be "The function is increasing from x = 0 to x = 1" because it does not start at 0. it starts at -2. even though they both increase by 1, the starting point answer is always the best option.

8 0
3 years ago
Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2
s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2  = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y =  (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t]  + [(-1) + 2*t]  = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y =  (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t =  (-1) + 2*15/2  = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0
3 years ago
What's the answer for 13x-37+2x+13​
USPshnik [31]

Answer:

11x+50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the factored form of x^3-1
polet [3.4K]

Answer:

the factors of x^3-1 are x^3 -1 = (x-1) (x^2 +x+1)\\

Step-by-step explanation:

We need to find factors of x^3 -1

x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\

So, the factors of x^3-1 are x^3 -1 = (x-1) (x^2 +x+1)\\

7 0
3 years ago
Follow the steps to find the area of the shaded region. 14 46 14
konstantin123 [22]

The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.

<h3>How to calculate the area of the sector?</h3>

The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is

A = (θ/360) πr² sq. units

<h3>How to calculate the area of a triangle with an angle?</h3>

The area of the triangle with measures of two sides and an angle between them is

A = 1/2 × a × b × sinC sq. units

Where a and b are the lengths of sides and ∠C is the angle between those sides.

<h3>Calculation:</h3>

It is given that,

The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².

Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,

Area of the shaded region = Area of the sector - Area of the triangle

⇒ 78.6794 - 70.4956

⇒ 8.1838 cm²

Therefore, the required area of the shaded region is 8.1838 sq. cm.

Learn more about the area of a sector here:

brainly.com/question/22972014

#SPJ1

6 0
2 years ago
Other questions:
  • 11 times a number increased by 2 is the same as 6 more than 9 times the number. Find the number.
    6·1 answer
  • A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person with a mass of 50 kg?
    10·1 answer
  • Thirteen people on a softball team show up for a game. a)How many ways are there to choose 10 players to take the field? b)How m
    12·1 answer
  • What is the value of x?
    13·1 answer
  • Try and answer! Do your best!
    5·2 answers
  • Using the information in the Box-and-Whisker plot below, what is the 1st
    5·1 answer
  • Write 19/25 as a decimal and a percent
    14·1 answer
  • Answer the following question!
    5·1 answer
  • Hope you can see this
    11·1 answer
  • A sequence is defined recursively using the formula f(n 1) = f(n) – 5 . which sequence could be generated using this formula? 1,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!