Answer:
The third table.
Step-by-step explanation:
To have a proportional relationship there must be a constant rate of change
6-5 / 9-7 = 1 /2
5-3 /7-4 = 2/3
these are different so this is not a proportional relationship
10-8 /150-120 =2/30
8-5 /120-75 =3/45
these are different so this is not a proportional relationship
10-8 /12-10 =2/2 =1
8-6 /10-8 =2/2= 1
These are the same therefore it is proportional
Answer:
(x-7)²+(y+24)² = 625
Step-by-step explanation:
A circle with center (h, k) and radius r can be represented as
(x-h)²+(y-k)² = r²
We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.
The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.
Our distance between (7, -24) and the origin is
√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)
= √625
= 25
Therefore, the radius is 25 and our equation is
(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625
Answer:
markup price = $25.31
retail price = $59.06
Step-by-step explanation:
Markup price is 75% OF 33.75
Retail price is original price (33.75) PLUS the markup price (to be found)
Firstly, converting a percentage to a decimal is simple. We simply divide by 100. So:
75% = 75/100 = 0.75
Now, to find markup, we multiply:
33.75 * 0.75 = $25.31
Now, the retail price is SUM of original and markup, that would be:
retail price = 33.75 + 25.31 = $59.06
Thus,
markup price = $25.31
retail price = $59.06
Answer:
84 years old
Step-by-step explanation:
A simple 12 x 7 Since for ever 7 dog years= 1 human year
Answer:
See below.
Step-by-step explanation:
Slope of parallel line is -3/2.
Slope of perpendicular line is 2/3
