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
anyanavicka [17]
3 years ago
6

If the endpoints of segment AB are A(-4,5) and B(2,-5),please help! ​

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

d = \sqrt[2]{34}

Step-by-step explanation:

We are solving for the segment of AB. Note that it is a line segment, so there will be end points, those being A(-4, 5) & B(2, -5).

Use the following distance formula:

<em />distance<em> </em>(d) = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - x_{2})^2 }

Let:

Point B(2 , -5) = (x₁ , y₁)

Point A(-4 , 5) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables.

d = \sqrt{(-4 - 2)^{2} + (5 - (-5))^{2} }

Simplify. Remember to follow PEMDAS. First, solve the parenthesis, then the powers, then add, and then finally square root.

d = \sqrt{(-6)^{2} + (5 + 5)^{2}  } \\d = \sqrt{(-6 * -6) + (10)^2} \\d = \sqrt{(36) + (10 * 10)} \\d = \sqrt{36 + (100)} \\d = \sqrt{136}

Simplify:

d = \sqrt{136} = \sqrt{2 * 2 * 2 * 17}  = \sqrt[2]{17 * 2} = \sqrt[2]{34}

d = \sqrt[2]{34} is your answer.

~

You might be interested in
At the end of each year, how much money would you earn in interest if you invested $3,500 and earned 4.5% simple interest?
Stels [109]
$157.50 would be the amount that you earn in interest

7 0
3 years ago
What is the area of the equilateral triangle, rounded to the nearest tenth? 2.7 cm2 4.1 cm2 16.2 cm2 24.2 cm2
Paul [167]

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

This question is incomplete, the complete question is:

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm. What is the area of the equilateral triangle, rounded to the nearest tenth?

<h3>What is a triangle?</h3>

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

An equilateral triangle is a triangle with all its three sides having the same length

The area of an equilateral triangle is expressed as;

A = ((√3)/4)a²

Where a is the length of the side

Perimeter of an equilateral triangle is expressed as;

P = 3a

Where a is the length of the side

Given that the perimeter of the equilateral triangle is 22.45 cm, the sides of the triangle will be;

P = 3a

22.45cm = 3a

a = 22.45cm / 3

a = 7.48cm

Now, the area of the equilateral triangle will be;

A = ((√3)/4)a²

A = ((√3)/4) × (7.48cm)²

A = 0.433 × 55.9504cm²

A = 24.2cm²

The area of the equilateral triangle with the given perimeter is 24.2cm².

Hence, option D)24.2cm² is the correct answer.

Learn more about triangles here: brainly.com/question/19305981

#SPJ4

5 0
2 years ago
Please help !!!!!!!!!!!!
zhannawk [14.2K]

Answer:

25+40

Step-by-step explanation:

for the area of a triangle you multiple the base times the height. for the area of the square it is the length times width.

NOTE: to completely answer just add 25+40

6 0
3 years ago
Find the shorter base of a trapezoid if the trapezoid's area is 52, its altitude is 8, and its longer basis 10.
DiKsa [7]

Answer:

The shorter base is 3

Step-by-step explanation:

a =  \frac{(b1 + b2)}{2}  \times h

52 =  \frac{(10 + b2)}{2}  \times 8

b2 = 3

8 0
2 years ago
A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x.
brilliants [131]

Answer:

x = 20

Step-by-step explanation:

hmu for more information

7 0
3 years ago
Other questions:
  • Please help mehhh Thank you! :)
    7·1 answer
  • Susie buys 1/2 lb of tomatoes for $1.99, what is the unit rate of the tomatoes?
    6·2 answers
  • Evaluate the expression x2 • x1 for x = 9
    14·2 answers
  • What value should be added to the expression to create a perfect square?
    7·1 answer
  • If y varies inversely as x and y = 27 when x = 2, find x when y = 9. *
    9·1 answer
  • A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you
    9·1 answer
  • Using the quadratic formula to solve x2 35-x, what are the values of x?
    10·1 answer
  • 700 students attend Ridgewood Junior High School. 25% of students bring their
    10·2 answers
  • Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft
    12·1 answer
  • Anybody want to help with math?<br> 10 + 23 / (4 + 1 + 10) - 200 + 365<br> Ty :)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!