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Free_Kalibri [48]
3 years ago
5

The distance between two points on a number line can be found by taking the ____A_____ of the ____B_____ of the coordinates. Fil

l in the blanks in the previous sentence by matching the letter for each blank with the correct answer.
Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.

Step-by-step explanation:

  • Every point can be paired with a number on a number line
  • The coordinate is the number associated with a point
  • To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
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The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool
Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0
3 years ago
What is the sum of 7/9 plus 3/5
Ivan

Answer:

\frac{62}{45}

Step-by-step explanation:

8 0
3 years ago
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The amount of interest accrued on<br> a $7,000 loan with 6% interest after t years.
Misha Larkins [42]

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

6 0
3 years ago
How do you explain how you convert a decimal?
Troyanec [42]
For example if we have 7/10 we have one 0 in the denominator so we move the decimal spot 1 to the left

So:
7.0 becomes 0.70 or .7

To make a decimal into a fraction:

0.32

Just add two zeros to the right and that means 2 0's will be added in the denominator
so:

0.32
32.0/100 or 32/100

Hope that helps :)
6 0
3 years ago
Which angle is supplementary to 65 degrees​
Alexeev081 [22]

Answer:

115°

Step-by-step explanation:

Supplementary angles equal 180.

180-65=115°

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3 years ago
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