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
marissa [1.9K]
4 years ago
5

#19 The distance between the points (4, 1) and (9, 1) is

Mathematics
1 answer:
kirill115 [55]4 years ago
4 0

Hello!

Given the two points, (x_{1}, y_{1}) and (x_{2}, y_{2}), and to find the distance between these two points is found by using the formula:

d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

(x_{1}, y_{1}) is assigned to one the points, in this case, is (4, 1).

(x_{2}, y_{2}) is assigned to other point, which is (9, 1).

Then, plug in these values into the formula and solve.

d = \sqrt{(9-4)^{2}-(1-1)^{2}}

d = \sqrt{5^{2}-0^{2}}

d = \sqrt{25}

d = 5

Therefore, the distance between the two points is 5.

You might be interested in
Solve the equation for the unknown variable 5(x+5)=10
Naddik [55]

Answer:

x= -3

Step-by-step explanation:

Given: 5(x+5) = 10

Find: x

Set the equation up.

5(x+5) = 10

Simplify.

5x + 25 = 10

Subtract 25 from both sides.

5x = -15

Divide to isolate the variable.

x = -3.

6 0
3 years ago
Read 2 more answers
The body of a 154 pound person contains approximately 4 × 10-1 milligrams of gold and 16 × 101 milligrams of aluminum. Based on
Eddi Din [679]

The number of milligrams of aluminum is 400 times the number of milligrams of gold in the body.

<u><em>Explanation</em></u>

Lets assume, the number of milligrams of aluminum is x times the number of milligrams of gold in the body.

The body of a 154 pound person contains approximately 4 × 10⁻¹ milligrams of gold and 16 × 10¹ milligrams of aluminum.

So the equation will be...

(4*10^-^1)*x= 16*10^1\\ \\ x= \frac{16*10^1}{4*10^-^1}= 4*10^2=400

So, the number of milligrams of aluminum is 400 times the number of milligrams of gold in the body.

3 0
4 years ago
Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?
wolverine [178]

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

   (6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ?  I need you to clarify something first.
You said that the 'second die' shows an odd number.  When a pair
of dice is rolled, the problem usually doesn't distinguish between them. 
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way: 
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3         

Four possibilities.  Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
 
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities.  Probability = 2/36 = 1/18 = 5.6% .

3 0
4 years ago
Bill and Jenna are solving the quadratic equation x 2 - x = 12.
Stels [109]
X=-10 
by simplifying both sides of the equation then isolating the variable 
6 0
4 years ago
The question is in the picture​
Genrish500 [490]

Answer:

5/13 is your answer.....

3 0
3 years ago
Other questions:
  • A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches.
    14·2 answers
  • Josh has 4 shirts(white, blue, green, and red) and 4 pairs of socks in the same colors. How many different shirt-sock combinatio
    6·1 answer
  • If f(x)=4x-11 what is the value of f(5)
    6·2 answers
  • The sphere has a radius of 2. what is the volumes
    8·2 answers
  • Question in the picture!!!!!!!!
    5·2 answers
  • Reeeeeeee helpp mee with hw
    14·1 answer
  • Find the distance between the following two points: (-1, -2) and (-1, 3)
    10·2 answers
  • The table shows ordered pairs of the function . What is the value of y when ?
    13·1 answer
  • Write an expression for the following
    14·2 answers
  • Does the point (5, 7) lie on the line y = −3x + 22
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!