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
qaws [65]
3 years ago
6

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0

Answer:

d = 3\sqrt{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point A (2, -1)

Point B (-4, 2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(-4-2)^2+(2+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-6)^2+(3)^2}
  3. Exponents:                           d = \sqrt{36+9}
  4. Add:                                      d = \sqrt{45}
  5. Simplify:                               d = 3\sqrt{5}
You might be interested in
Solve this problem using the Distributive Property.<br><br> 2 ( 7 + 8 ) =
maria [59]

Answer:

30

Step-by-step explanation:

Original Equation: 2(7 + 8)

So you have to multiply 2 by 7 which equals 14

Then you multiply 2 by 8 which equals 16

Your equation should now look like this: 14 + 16

Add 14 and 16 together.

Your answer is 30

Hope I helped :)

Please condsider brainliest

7 0
4 years ago
Determine the value of each variable in the
lukranit [14]
3x is the correct answere
8 0
3 years ago
Find the x............... <br><br><br><br><br><br><br><br><br>​
lana [24]

Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166

8 0
3 years ago
Solve the system of equations using subtraction.<br> 4x - 2y = 10<br> 4x + y = 19
Alex777 [14]

Answer:

y=3 x=4

Step-by-step explanation:

4x - 2y = 10

<u>4x + y = 19</u>

    -3y=-9

the 4x canceled out.

y=3

plug in y into one of the equations

4x + 3 = 19

4x=16

x=4

Hope this helps!

If not, I am sorry.

3 0
2 years ago
Read 2 more answers
Find the total surface area of this cone.
julsineya [31]

Answer:

A = πr² = B

A = π(8)² = B

A = (3.14)(64) = B

A = 200.96 m = B

A = πrl + B

A = π(8)(25) + 201

A = 628 + 201

A = 829 m

7 0
3 years ago
Other questions:
  • Please help me with this and please give me the right answer it’s due tommorow
    6·1 answer
  • A wall of bricks is 7.85 feet high and 13.0 feet wide. What is the area of the wall? Round to the correct number of significant
    7·1 answer
  • Help pleaseeeeeeeeee
    13·1 answer
  • How are negative exponents related to their whole number counterparts?
    11·1 answer
  • When solving the equation 4(3x+2)-9=8x+7, Emily wrote 4(3x+2)=8x+16 as her first step. Which property justifies Emily's first st
    12·1 answer
  • F(x)= {2ˆx, X&lt;0<br><br> {-xˆ2 -4x +1, 0 2
    5·1 answer
  • Y = 2x + 3 <br>y= -2x + 15​
    11·2 answers
  • Find the shaded area​
    13·1 answer
  • A muffin recipe calls for 2 eggs to make 12 muffins.
    13·2 answers
  • What is the missing number. Explain how you determined your answer. <br><br> 5–8–14–26–50–?—194
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!