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Sedbober [7]
3 years ago
10

Match each equivalent expression with the property that it represents.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

Associative Property of Multiplication

[ 3(5) (4) = (3) 5(4)]

Identity Property of Multiplication

5(1) = 5

Identity Property of Addition

(3 + 5) + 0 = (3+5)

Commutative Property of Addition

3 + 5 = 5 + 3

Associative Property of Addition

3 + (5 + 7) = (3 + 5) + 7  

​

Step-by-step explanation:

The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

The identity property of 1 says that any number multiplied by 1 keeps its identity.

Hoped this helped!

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Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
mariarad [96]

Point c.

You can graph the two points in a calculator to find out the answer OR you can identify the lines using the y-intercept aka b in the y=mx+b format.

Y=x - 3 has a y-intercept of -3, so look for the line where it goes through -3 on the y axis. (do the same for the other except when the y-intercept is 1)

From this, you can identify the lines and just find where they intersect.

4 0
3 years ago
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Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how
Assoli18 [71]
$600
1800 divided by 300= 6
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5 0
3 years ago
Find the length of both of the unknown sides in the triangle shown here.
icang [17]

Answer:

(x+11)^2 = (x+3)^2 +16^2

And if we solve this equation for x we got:

x^2 +22x +121 = x^2 +6x +9 +256

We can cancel x^2 in both sides and we have this:

22x -6x= 256+9-121 =144

And then we got:

16 x= 144

x =\frac{144}{16}= 9

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

(x+11)^2 = (x+3)^2 +16^2

And if we solve this equation for x we got:

x^2 +22x +121 = x^2 +6x +9 +256

We can cancel x^2 in both sides and we have this:

22x -6x= 256+9-121 =144

And then we got:

16 x= 144

x =\frac{144}{16}= 9

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

8 0
3 years ago
Find all x-intercepts of the function. Express your answer as a list of x-values.
-Dominant- [34]

Answer:

all x intercepts [-4, 0] [4, 0]

Step-by-step explanation:

x-intercept, i.e. y=0

f(x) = x^3 - 4x^2 - 16x + 64 = 0

(x^3 + 4^3) - 4x^2 - 16x = 0         [FYI, x^3 + y^3 = (x + y)(x^2 - xy + y^2)]

(x + 4)(x^2 - 4x + 16) - 4x^2 - 16x = 0

(x + 4)(x^2 - 4x + 16) - 4x(x + 4) = 0

(x + 4)(x^2 - 4x + 16 - 4x) = 0

(x + 4)(x^2 - 8x + 16) = 0

(x + 4)(x - 4)^2 = 0

x = -4 or 4

all x intercepts [-4, 0] [4, 0]

4 0
2 years ago
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16÷4 what is the quotient expressed as a fraction
Olenka [21]

Answer:

I'm guessing what your asking is this equation or expression in fraction form? If so, then it would be 16/4 which equals 4.

Step-by-step explanation:

8 0
3 years ago
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