The value of K is 5 because its going up 5 from the f(x) graph
Answer:
It weighs 40 pounds on mars
Step-by-step explanation:
Direct proportion is the relationship between two variables when their ratio is equal to a constant value
- It can be expressed as y = k x, where y varies directly as x and k is constant of variation
- It can be expressed as
∵ The weight of an object on mars varies directly as the weight
of the object on earth
∴ w(m) = k × w(e)
∵ The weight of the object on earth is 75 pound
∴ w(e) = 75
∵ The weight of this object on mars is 25 pounds
∴ w(m) = 25
- Substitute them in the equation of variation
∵ 25 = k × 75
- Divide both sides by 75
∴
= k
∴ w(m) =
× w(e)
∵ An object weighs 120 pounds on earth
∴ w(e) = 120
- Substitute it in the equation of variation
∴ w(m) =
× 120
∴ w(m) = 40
∴ It weighs 40 pounds on mars
Answer:
x - 7 = age of whatever you are finding the age of
Step-by-step explanation:
seven years younger implies that you are taking away so we minus it from our variable, Tates age is the variable since it does not tell us his/her age in the statement given.
1. To solve this we are going to use the formula for the area of a sector of a circle:

where

is the area of the sector

is the radius of the circle

is the angle in radians
We know from our problem that the radius of the circle is 5 cm and the angle of the sector is

, so

and

. Lets replace those values in our formula:




We can conclude that the area of sector GHJ in terms of pi is

, and as a decimal rounded to the nearest tenth is 9.8

.
2. To c<span>onstruct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.</span>
This question it has to simplifying with their expression.
<span> 2(5+9)-6
= 22
Answer is C. 22
It will help you.
Have a great day.
-Charlie</span>