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4 years ago

Which properties of equality justify steps b and d?

Mathematics

2 answers:

QveST [7]4 years ago

8 0

C) Subtraction Property of Equality; Multiplication Property of Equality

- Prodixy ☕

7nadin3 [17]4 years ago

4 0

C. Subtraction Property of Equality; Multiplication Property of Equality

For the first one, you are subtracting 7 from both sides (step b), to help isolate the y

since you are both subtracting, and "both sides" (meaning there is a equal sign) it is Subtraction Property of Equality.

For the second one, you are multiplying 2 from both sides (step d), to help isolate the y

since you are multiplying, and "both sides" (meaning there is a equal sign), it is Multiplication Property of Equality

hope this helps

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4 years ago

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (-2, 4)

Crazy boy [7]

Answer: Exterior

Step-by-step explanation:

Substitute the point (-2,4) into the equation of the circle $(x-5)^2+(y+3)^2=25$ .

Knowing that:

$x=-2\\y=4$

Then:

$(x-5)^2+(y+3)^2=25\\(-2-5)^2+(4+3)^2=25\\(-7)^2+(7)^2=25\\98\neq25$

Therefore, as $98\neq25$ then the point is not on the circle.

If a point is in the interior of the circle , then:

$(x-5)^2+(y+3)^2$

$98>25$ Then the point (-2,4) is not in the interior of the circle.

If a point is in the exterior of the circle, then:

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$98>25$ Then the point (-2,4) is in the exterior of the circle.

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4 years ago

a triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle

Usimov [2.4K]

I think you forgot to give the options along with the question. I am answering the question based on my research and knowledge. "(-3,-4), 3,-4), (3,4)" could be the vertices of the triangle described in the question. I hope that this is the answer that you were looking for and it has come to your great help.

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3 years ago