All categories

3 years ago

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

A and B are complementary. If B = 26°, what is the measure of A?

Talja [164]

Answer:

64°

Step-by-step explanation:

When angles are complementary, they can be added together to equal 90°.

90° - 26° = 64°

The measure of angle A is 64°.

8 0

2 years ago

Use the following graph to solve the equation 3n + 7 = 52

Tanya [424]

Answer:

$3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15$

Graph is not inserted.

8 0

2 years ago

Read 2 more answers

Does anyone know how to solve this?

Bezzdna [24]

Use this version of the Law of Cosines to find side b:

b^2 = a^2 + c^2 − 2ac cos(B)

We want side b.

b^2 = (41)^2 + (20)^2 - 2(41)(20)cos(36°)

After finding b, you can use the Law of Sines to find angles A and C or use other forms of the Law of Cosines to find angles A and C.

Try it....

6 0

3 years ago

Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same

Kay [80]

Answer: $\bold{\dfrac{35}{187}}$

<u>Step-by-step explanation:</u>

1st marble and 2nd marble

$\dfrac{15\ red}{34\ total}$ $\times$ $\dfrac{14\ red}{33\ total}$ $=\dfrac{15\times 14}{34\times 33}=\dfrac{5\times 7}{17\times 11}= \boxed{\dfrac{35}{187}}$