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kow [346]
3 years ago
8

Select the property of equality used to arrive at the conclusion if x-3=7 , then x=10

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

The addition property of equality  

Step-by-step explanation:

According to the addition property of equality, if we add the same number to each side of an equation, the equality is still true.

We are given the equation

x – 3 = 7, and we must solve for x.

We want to get x by itself, so we <em>add 3 to each side</em>.

x – 3 + 3 = 7 + 3

             x = 10

We have just used the addition property of equality.

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In the first quadrant the signs would be (x,y) in the second quadrant they would be (-x,y) in the third (-x,-y) and the fourth (x,-y)
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The cheapest available ticket for Super Bowl Ll on the secondary market costs
drek231 [11]

Answer:

He must work 52 days to pay for a single ticket.

Step-by-step explanation:

This question can be solved using proportions.

Per hour:

Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.

Per day:

He works 9 a.m. to 5 p.m. each day, so 8 hours a day.

For each hour, he earns $5.8.

So in a day, he makes 8*5.8 = $46.4

How many days he must work:

The ticket costs $2400.

He makes $46.4 a day.

So, to buy a ticket, he needs to work:

2400/46.4 = 51.7 days

Rounding up

He must work 52 days to pay for a single ticket.

7 0
3 years ago
Describe how a point on a graph is related to a table and an equation that represent the same relationship.
castortr0y [4]

Answer:

because everything is relative to each other.

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zavuch27 [327]

Answer:

Since the focus is at (-6,-11) and the directrix is at y=9:

 

The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1).  (Draw this on graph paper if that doesn't make sense.)

 

The general form (conics form) of a parabola:  4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).

 

(h,k) = (-6,-1)

 

p = 10 (distance between focus and vertex), so 4p = 40.

 

Therefore:

 

40(y+1)=(x+6)^2

 

Or if you need to rearrange to "vertex form":  y=(1/40)(x+6)^2 - 1

Step-by-step explanation:

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