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kondaur [170]
3 years ago
5

C(-3,-1), Q(-2,3) Find the distance between each pair of points

Mathematics
2 answers:
laila [671]3 years ago
4 0

Answer:

The answer is

<h2>\sqrt{17}  \:  \:  \: or \:  \:  \: 4.12 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(-3,-1), Q(-2,3)

The distance between them is

|CQ|  =   \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2}  }  \\  =  \sqrt{ ({ - 1})^{2} + ( { - 4})^{2}  }  \\  =  \sqrt{1 + 16}  \\  =  \sqrt{17}  \:  \:  \:  \:  \:  \:  \:   \\  = 4.1231...

We have the final answer as

\sqrt{17}  \:  \:  \: or \:  \:  \: 4.12 \:  \:  \:  \: units

Hope this helps you

hram777 [196]3 years ago
4 0
4.2 units ! Is your answer
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a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula
astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0
3 years ago
2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
Dominik [7]

Answer:

3 8/15

Step-by-step explanation:

2 1/5 + 1 1/3 = 3 8/15

6 0
3 years ago
(7x-1)+(13x-19)=180 solve for x
elixir [45]

Answer:

x = 10

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

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

(7x - 1) + (13x - 19) = 180

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    20x - 20 = 180
  2. Isolate <em>x</em> term:                              20x = 200
  3. Isolate <em>x</em>:                                       x = 10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    (7(10) - 1) + (13(10) - 19) = 180
  2. Multiply:                               (70 - 1) + (130 - 19) = 180
  3. Subtract:                              69 + 111 = 180
  4. Add:                                     180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

3 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2
g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

f(x)=ax^2+bx+c

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

  • Identify a, b, and c
  • Find, the x-coordinate of the vertex, by substituting a and b into

x-coordinate =-\frac{b}{2a}

  • Find, the y-coordinate of the vertex, by evaluating

y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )

We know that the power generated by an electrical circuit is modeled by

P(c)=-12c^{2}+120c

This function is a quadratic function.

To find the current that produce the maximum power you must

  • Identify a and b

a = -12 and b = 120

  • Find, the maximum current of the vertex, by substituting a and b into

maximum-current =-\frac{b}{2a}

maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5

  • Find, the maximum-power, by evaluating

maximum-power =P(maximum-current)=P(-\frac{b}{2a} )

P(5)=-12(5)^{2}+120(5)=300

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function P(c)=-12c^{2}+120c and see that the maximum is (5, 300).

5 0
4 years ago
Geometry question number 21
Pie

Step-by-step explanation:

1st) Distribute 8 with x and 8 with -1 which will give you

8x-8=5x-35

2nd) Use opposite operation and add 8 both sides

8x-8=5x-35

+8 +8

---------------

8x=5x-27

3rd) subtract 5x from both sides

8x=5x-27

-5x= -5x

_______

3x=-27

4th) Divide 3 from both sides so -27 by 3

3x=-27

_ _

3 3

ANSWER X=-9

4 0
3 years ago
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