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trapecia [35]
1 year ago
5

Select all the properties that are used below to solve 7y − 15 = −29. 7y – 15 + 15 = –29 + 15 7y = –14 7y7 = –147 y = –2 A. Iden

tity Property of Multiplication B. Addition Property of Equality C. Distributive Property D. Inverse Property of Multiplication E. Commutative Property of Addition
Mathematics
1 answer:
lukranit [14]1 year ago
3 0

B.addition property of multiplication

D.inverse property of multiplication

E.commutative property of addition

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A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appe
bagirrra123 [75]
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where:
x' = x * cos(180) - y * sin(180)
y' = x * sin(180) + y * cos(180)

Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra!

Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon.

You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
4 0
2 years ago
Read 2 more answers
4 markers cost $7.04. Which equation would help determine the cost of 7 markers??
aleksley [76]

Answer: 12.32

Step-by-step explanation:

7.04 divided by 4 = 1.76. 1.76 x 7 = 12.32.

7 0
1 year ago
Read 2 more answers
Keith has 40-pound bags of mulch in his truck that weigh a total of 3600 pounds. His Owner’s Manual lists the truck’s capacity a
kiruha [24]

Answer:

Keith must remove 90-75 = 15 bags in order to meet the weight requirements

Step-by-step explanation:

This problem can be solved by consecutive rules of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The number of bags

- The total weight

As the number of bags increases, so do the total weight. So, the relationship between the measures is direct.

To know how many bags does Keith need to remove in order to meet the weight requirements, we first need to know how many bags are in the truck currently.

The problem states that each bag weighs 40 pounds and the weight of the truck is 3600 pounds, so:

1 bag - 40 pounds

x bags - 3600 pounds

40x = 3600

x = \frac{3600}{40}

x = 90.

Keith currently has 90 bags in the truck.

Now, we have to know how much bags he can have in the truck, that is, 3000 pounds worth of bags. So:

1 bag - 40 pounds

x bags - 3000 pounds

40x = 3000

x = \frac{3000}{40}

x = 75.

The truck's capacity is at most 75 bags.

So, Keith must remove 90-75 = 15 bags in order to meet the weight requirements

7 0
2 years ago
The range of which function includes –4?
Ahat [919]

Correct option A) y = StartRoot x EndRoot minus 5

<u>Step-by-step explanation:</u>

Here we have , to find which of the following function includes range -4 ! Let's find out range for each function :

y = StartRoot x EndRoot minus 5

Equation is given as :

⇒ \sqrt{x} -5

At x=1 , we have

⇒ \sqrt{1} -5

⇒ -4

Hence , This function range includes -4 .

y = StartRoot x EndRoot + 5

Equation is :

⇒ \sqrt{x} +5

We know that \sqrt{x} \geq 0 for every value of x , Hence minimum value of this function is :

⇒ \sqrt{0} +5 = 5

Hence , This  function range doesn't includes -4

y = StartRoot x + 5 EndRoot

Equation is :

⇒ \sqrt{x+5}

We know that \sqrt{x+5} \geq 0 for every value of x , Hence minimum value of this function is :

⇒ 0

Hence , This  function range doesn't includes -4

y = StartRoot x minus 5 EndRoot

Equation is :

⇒ \sqrt{x-5}

We know that \sqrt{x-5} \geq 0 for every value of x , Hence minimum value of this function is :

⇒ 0

Hence , This  function range doesn't includes -4.

4 0
2 years ago
Read 2 more answers
10. Triangle PQR has vertices P(5, -1), Q(0, 8), and R(7, 5). It is translated right 3 units and up 6 units. Find the coordinate
Brrunno [24]
P' (8,5)
Q' (3,14)
R' (10, 11)

Why: Anything that is translated left or right you will be changing the x axis,  if the translation is right, you add, if its left, you subtract. If the translation is up or down, its going to change the y axis. Down means you subtract from the y axis, up means you add to the y axis. 
3 0
2 years ago
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