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Anestetic [448]
3 years ago
13

Find the distance between the points (1, 2) and (4, 3). √7 √10 5√2

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
8 0
The approximate value for the distance between the two points is <span>3.162277663.16227766</span>.<span><span>√10</span>≈<span>3.16227766</span></span>
Contact [7]3 years ago
3 0

Answer:  The correct option is

(B) √10

Step-by-step explanation:  We are given to find the distance between the points (1, 2) and (4, 3).

We have the following distance formula :

<em><u>DISTANCE FORMULA :</u></em>  The distance between the points (a, b) and (c, d) is given by

D=\sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points (1, 2) and (4, 3) is given by

D\\\\=\sqt{(4-1)^2+(3-2)^2}\\\\=\sqrt{3^2+1^2}\\\\=\sqrt{9+1}\\\\=\sqrt{10}.

Thus, the required distance between the given points is √10 units.

Option (B) is CORRECT.

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The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was:
allochka39001 [22]

Answer:

the original population of the city is 7,505,833

Step-by-step explanation:

Given;

new of the population of the city, Y = 9,007,000

the percentage increase of the city, = 20% = 0.2

Let the original population of the city = X

New population, Y = X  + 0.2X

                           Y = X(1 + 0.2)

                           Y = X(1.2)

                           Y = 1.2X

                           X = Y/1.2

                           X = (9,007,000) / 1.2

                           X = 7,505,833

Therefore the original population of the city is 7,505,833

3 0
3 years ago
After buying a book,I am left with $5 out of my $50 note.What is the cost of the book?
zloy xaker [14]

Answer:

45

Step-by-step explanation:

50-5

4 0
3 years ago
Read 2 more answers
The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
jonny [76]

Answer:

\displaystyle -2

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 I</u>

  • Average Rate of Change: \displaystyle \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

<u>Step 1: Define</u>

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

<u>Step 2: Find Average</u>

  1. Substitute in variables [ARC]:                     \displaystyle \frac{f(3) - f(-1)}{3 + 1}
  2. Substitute:                                                   \displaystyle \frac{-4 - 4}{3 + 1}
  3. [Fraction] Subtract/Add:                             \displaystyle \frac{-8}{4}
  4. [Fraction] Divide:                                        \displaystyle -2
4 0
3 years ago
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia
natali 33 [55]
Julia= 24 mph, Katie=32 mph.

Julia rides 8 mph faster than Katie
8 0
3 years ago
Read 2 more answers
Can someone explain
aev [14]
Simple, you are adding a negative to a positive, so think of it as a subtraction, 5/6 - 2/3 = .
2/3 is 4/6.
5/6 - 4/6 = 1/6
7 0
3 years ago
Read 2 more answers
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