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lara [203]
3 years ago
6

Find the distance between each pair of points. (-5, -3) and (-5, -6)

Mathematics
1 answer:
Aloiza [94]3 years ago
3 0

Answer:

• Formular for length:

length =  \sqrt{ {(x _{1}  - x  _{2}) }^{2}  +  {(y_{1} - y_{2})}^{2} }

• from points given, x1 is -5, x2 is -5, y1 is -3 and y2 is -6:

• substitute:

length =  \sqrt{ { \{ - 5 - ( - 5) \}}^{2}  +  { \{ - 3 - ( - 6) \}}^{2} }  \\  \\ length =  \sqrt{ {0}^{2} +  {3}^{2}  }  \\  \\ length =  \sqrt{ {3}^{2} }  \\  \\ { \boxed{ \boxed{ \:  \: length = 3 \: units \:  \: }}}

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Simplify the expression by arranging the steps in sequence, based on the order of operations.
lubasha [3.4K]

Answer:

\displaystyle 6x - 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

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)<u />

<u />

<u>Step 2: Simplify</u>

  1. Distribute:                           \displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)
  2. Multiply:                              \displaystyle 5x + 4 - 9 + x
  3. Rearrange:                          \displaystyle 5x + x + 4 - 9
  4. Combine like terms:          \displaystyle 6x - 5
8 0
3 years ago
Round to the nearest hundredth
Charra [1.4K]
Hey there,
1st hat = x
2nd hat = 2x
3x = $75.12
x= $75.12 / 3
  = $25.04
2x = $25.04 x 2
     =$50.08
     = $50.10 (round off)

Hope this helps ^_^

~Top
7 0
3 years ago
Does the table represent a function ? If so, state the domain and range. If not, state why. (Picture)
andrezito [222]

Yes

For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one

This is the case here as each value of x maps to one unique value in the range

domain x ∈ {- 5, - 4, 0, 3 }

range y ∈ {0, 2, 10, 16 }




7 0
3 years ago
A hungry college student just finished eating a large cheese and pepperoni pizza from​ Doug's Pizza Palace and felt there​ wasn'
maw [93]

Answer:  14

Step-by-step explanation:

  • Degrees of freedom is the number of values in the evaluation of a test statistic that are free to vary.

For t-statistic , the degree of freedom for a sample with sample size 'n' is given by :-

df=n-1

Given : Sample size : n-1

Then, the number of degrees of freedom the t-value will have :-

df=15-1=14

Hence, the t-value will have 14 degrees of freedom.

7 0
4 years ago
Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0
Black_prince [1.1K]

Answer:

x = pi, 3pi, 5pi  etc

x = -pi, -3pi, -5pi etc

Step-by-step explanation:

cos^2 x + 2 cos x + 1 = 0

replace cos x with m

m^2 + 2m +1 = 0

solve by factoring  (this is a^2 +2ab+b^2 = (a+b)^2  where a =m and b=1)

(m+1)^2=0

take the square root of each side

m+1 =0

m=-1

now replace m with cos x

cos x = -1

take arccos  of each side

arccos cos x = arccos (-1)

x = pi, 3pi, 5pi  etc


3 0
3 years ago
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