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3 years ago

2) 7+ (1 + 9) = (7 + 1) +9 Property:

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Answer:

Associative Property

Step-by-step explanation:

In your equation, you're adding three digits together.

When you're adding or multiplying, the order in which you it doesn't matter:

ex. 1 + 3 + 5 = 3 + 5 + 1 <- This is the commutative property (not associative)

Adding parentheses indicated the order in which you do an operation, but when adding, order doesn't matter, so you're able to move around the parentheses. When you move around the parentheses, that's an example of the associative property.

It's important to not confuse the associative property with the commutative property.

The associative property is moving around parentheses

While the commutative property is moving around the numbers.

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West Virginia math glencone course 2 volume 1 page 191

Step2247 [10]

Answer:

Im not sure but I think its -5

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3 years ago

A boat sails for 5 hours at 30 mph in a direction 164°56'. How far south has it sailed (to the nearest mile)?

Valentin [98]

Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'

Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84

Therefore, the distance covered southwards = 145 miles to the nearest mile.

5 0

3 years ago

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

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1 year ago

Read 2 more answers

Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the

tekilochka [14]

The probability is 4/26 since MATH has 4 letters. It might be a trick question though because you're putting the card back in the hat, therefore it might be different. Sorry if this is too confusing I overthink it lol

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3 years ago

2(x + 3)+ 8 + 5(x - 2) + 4x + 3 This problem simplified would be:

zmey [24]

simplified would be

2(x + 3)+ 8 + 5(x - 2) + 4x + 3
= 2x + 6 + 8 +5x -10 + 4x +3
= (2x + 5x +4x ) + (6 + 8 -10 + 3)
=11x + 7

8 0

3 years ago