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
NNADVOKAT [17]
3 years ago
15

What is the distance between points M(-3, 1)and N(7, -3)​

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

Answer:

d = 2√29 units

Step-by-step explanation:

M(-3, 1)and N(7, -3)​

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values.

d = √[(7 - (-3))² + (-3 - 1)²]

Simplify the parentheses.

d = √[(7 + 3)² + (-4)²]

d = √[(10)² + (-4)²]

Simplify the exponents

d = √[(100 + 16)]

Simplify the parentheses by adding.

d = √[116]

Simplify the brackets with the square root.

  • Since 116 is not a perfect square, we need to find two numbers that multiply to 116. One number must be a perfect square. The other must be a prime number.
  • 4 • 29 = 116. Therefore √4 • √29 = √116
  • √4 = 2. Therefore 2√29 = √116

d = 2√29 units

Hope this helps!

You might be interested in
I can’t figure out number 6 pls help
g100num [7]

Answer: A, B, E, and F

Step-by-step explanation:

Surface area relates to anything that doesn’t hold depth.

4 0
4 years ago
Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end be
MaRussiya [10]

Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

f(x) = \frac{8x - 1}{2x - 9}

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

  • \lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} \frac{8x}{2x} = \lim_{x \rightarrow -\infty} 4 = 4.
  • \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{8x}{2x} = \lim_{x \rightarrow \infty} 4 = 4.

Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

#SPJ1

7 0
2 years ago
Help!!!which of the following best describes the algebraic expression 10x+2
padilas [110]
I believe the correct answer is C) Ten times the quantity of a number plus two. Hope this helps! =)
4 0
3 years ago
Read 2 more answers
To divide using a model, which of the following are true? Select all that are correct.
LUCKY_DIMON [66]

Answer:

Im srry can you give me the answers for the question

Step-by-step explanation:

Plz so I can help you

7 0
3 years ago
A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that
tatiyna

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

3 0
3 years ago
Other questions:
  • Which of the following is true?
    7·2 answers
  • Eliana takes photos and videos on her phone. Let P represent the number of photos and V represent the number of videos that Elia
    5·2 answers
  • What is the value of a 3 - b 2 for a = 3 and b = 1/2?
    12·1 answer
  • Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?
    11·2 answers
  • You want to decorate a party hall with a total of least 40 red and yellow baloons. You want a minimum of 25 yellow baloons. Writ
    12·2 answers
  • Question 4<br> What value of p makes the equation true?<br> p+ (40 - p) = 0
    12·1 answer
  • Solve x2+4x=1 by Completing the square
    12·1 answer
  • Please answer this I will give brainliest thank you very much for your help
    14·1 answer
  • Jana is buying a cell-phone plan. She has two plans to choose from.
    8·1 answer
  • Can someone help ill give brainliest
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!