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
Ivahew [28]
2 years ago
10

The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².

Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0

Based on the distance formula, the distance between points (3, 7) and (x1, y) is: \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}. SO, it is TRUE.

<h3>What is the Distance Formula?</h3>

The distance formula which can be applied to find the distance between two coordinate points is: d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}.

Given the points:

(x1, y1)

(3, 7) = (x2, y2)

Substitute

d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}

Therefore, the statement that says the distance between points (3, 7) and (x1, y) = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}, is TRUE.

Learn more about the distance formula on:

brainly.com/question/661229

#SPJ1

You might be interested in
In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of
postnew [5]

Answer:

Step-by-step explanation:

b=boy

a= a on the exam

b=15

b∩a=6

b'∩a=3

b'∪a'=?

b'∪a'= b'+a'-b'∩a'

a= b∩a+b'∩a (law of total probability) = 9

a'= 25-9 = 16

b'= 25-15= 10

16+10-7=19

19/25= .76

7 0
2 years ago
In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Ray does chores every day for a small allowance.he earns 1.50 a day for washing the dishes and x dollar a day taking out trash
Burka [1]

Answer:

um

Step-by-step explanation:

what problem is their to figure out

4 0
3 years ago
Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and comput
Lynna [10]

Answer:

AAAAAAA

Step-by-step explanation:

did it on edge

7 0
1 year ago
After how many audio books will both book clubs cost the same amount.​
bulgar [2K]

Answer:

2 books

Step-by-step explanation:

10 + 5x = 16 + 2x

    - 2x         - 2x

10 + 3x = 16

-10          -10

3x = 6

/3    /3

<u>x = 2</u>

4 0
2 years ago
Other questions:
  • 45lb child has order erythromycin 250mg Q6. Label reads 30-50 mg per kg a day in divided doses every six hours. Each 125mg/5ml
    8·1 answer
  • The area between z=0 and z=1 under the standard normal curve is ?
    5·1 answer
  • A recipe for stew calls for 2 pounds of beef to serve 4 people. Gina wants to serve 8 people. How many pounds of beef should she
    12·2 answers
  • Julina is planninf a 1224-mile driving trip. Her car gets an average of 34 mpg, and the cost of gas is about $3.56/gallon. What
    7·1 answer
  • Helllpppp): please !!
    11·2 answers
  • Convert 800 grams into ounces. Round your answer to the nearest tenth.
    8·1 answer
  • Estimate the question 435 x 5.3
    7·1 answer
  • Brainlist?????? yes i will give it
    6·2 answers
  • PRETTY please help
    6·2 answers
  • Is this right if not please tell me explanation
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!