Answer:
Step-by-step explanation:
The distance between two points is
d^2=(y2-y1)^2+(x2-x1)^2
D) points (0,0) and (9,12)
d^2=(9-0)^2+(12-0)^2
d^2=81+144
d^2=225
d=15
E) points (1,2) and (-3,5)
d^2=(-3-1)^2+(5-2)^2
d^2=16+9
d^2=25
d=5
The value of x when y = -14 is 7
Step-by-step explanation:
Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
If y varies directly with x, then
- y ∝ x
- y = k x, is the equation of variation where k is the constant of variation
∵ y varies directly with x
∴ y ∝ x
∴ y = k x
To find k substitute x and y by their initial values
∵ y = 16 and x = -8
- Substitute y by 16 and x by -8 in the equation above
∴ 16 = k(-8)
- Divide both sides by -8
∴ -2 = k
∴ The value of k is -2
- Substitute the value of k in the equation above
∴ y = -2 x ⇒ equation of variation
∵ y = -14
- To find x substitute y by -14 in the equation of variation
∵ -14 = -2 x
- Divide both sides by -2
∴ 7 = x
∴ The value of x is 7
The value of x when y = -14 is 7
Learn more:
You can learn more about variation in brainly.com/question/10708697
#LearnwithBrainly
The slope is 4/3
Hope this helps
Answer:
i think its 16x² - 48xy³ + 36y⁶
Step-by-step explanation:
Answer:
Cost for 1 burger = 5 $
Amount spent by Janet = 25$
Amount spent by John = 25$
Explanation:
Let the cost for burger be p.
Janet got three burgers and left a $10 tip
Amount spent by Janet = 3 p + 10
John bought 4 burgers, but only left a $5 tip
Amount spent by John = 4 p + 5
Both paid the same amount.
So, we have 3 p + 10 = 4 p + 5
=> p = 5 $
So, cost for 1 burger = 5 $
Amount spent by Janet = 3 x 5 + 10 = 25$
Amount spent by John = 4 x 5 + 5 = 25$
