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KATRIN_1 [288]
3 years ago
11

Explain how the Distributive Property can be used to expand the expression on the left side of the equation.

Mathematics
2 answers:
Amanda [17]3 years ago
7 0

Answer:

C.

Multiply each term inside the parentheses by 3.

Step-by-step explanation:

garri49 [273]3 years ago
5 0

Answer:

<em>C.  Multiply each term inside the parentheses by 3.</em>

Step-by-step explanation:

<em>The distributive property lets you multiply a sum by multiplying each addend separately and then add the product.</em>

The stated distributive property shows that option C. is correct

<em>C.  Multiply each term inside the parentheses by 3.</em>

To confirm the claim of this option, let's multiply each term inside the parentheses by 3.

Term: 3(x + 4) = 36

Multiply: 3*x + 3 * 4 = 36

=> 3x + 12 = 36

Collect like terms

3x = 36 - 12

3x = 24

Divide through by 3

3x/3 = 24/3

x = 24/3

x = 8

Hence, it's shown that to solve this expression, we have to  <em>multiply each term inside the parentheses by 3.</em>

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You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 125 km south and 135 km east. Mt. Rainier is locat
Zanzabum

Answer:

  5.12 minutes ≈ 5 minutes 7.2 seconds

Step-by-step explanation:

The flight path of the airplane is along the line ...

  y = -125/135x = -25/27x

The perpendicular line through Mt. Rainier's location is ...

  y = 27/25(x -56) -40

In standard form, these two equations are ...

  • 25x +27y = 0
  • 27x -25y = 2512

The point of closest approach has the coordinates that are the solution to these two equations:

  (x, y) = (33912/677, 31400/677)

The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...

  d = 1256√(2/677) . . . . . km

This distance can be converted to time using the speed of the airplane:

(1256\sqrt{\dfrac{2}{677}}\,km)\times \dfrac{60\,min}{800\,km}=94.2\sqrt{\dfrac{2}{677}}\,min\approx 5.120019\,min

5.12 minutes after departing JBLM you will be closest to Mt. Rainier.

_____

The attached graph shows the geometry of the problem.

3 0
4 years ago
What is the solution to the open sentence? 8y + 7 = y + 21 A. 2 B. 4 C. 7 D. 14
Airida [17]
8y+7= y+21
Subtract y from both side
7y+7=21
Subtract 7 from both sides
7y = 14
Divide both sides by 7
Y=2 or A


7 0
4 years ago
Find all the square roots of x^2 ≡ 53 (mod 77) by hand. This is my second post. Please explain all the steps how you did this?
sasho [114]

Answer:

Step-by-step explanation:

Given that

x^2 ≡ 53 (mod 77)

Right side has values as

53, 53+77, 53+2(77),+....

We have to find one which is a perfect square.

We have from this series 361 is 19 square

Thus x =19.

Next is x^2=900\\x=30

x^2=2209\\x=47 and so on.

3 0
3 years ago
Which statement best compares the spread of the data sets?
MrRa [10]

Answer:

Choice B is correct

Step-by-step explanation:

The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);

The IQR

Variance

Standard Deviation

Range

A box plot is a graphical representation of the five number summary;

The minimum, first quartile, median, third quartile, and the maximum value in that order.

The IQR is defined as;

third quartile - first quartile

With this definition, the Interquartile Range (IQR) for Florida is;

28 - 17 = 11

while the Interquartile Range (IQR) for Australia is;

14 - 10 = 4

Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

5 0
3 years ago
A wheel has a diameter of 21cm calculate its circumference
notsponge [240]
21•3.14=65.94   the circumference is 65.94
8 0
4 years ago
Read 2 more answers
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