Answer:
Sam
Step-by-step explanation:
Sam: Longest ski trail >3x x = shortest ski trail
Eli: Longest ski train< 3x
Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:We are also given that Ishaan is 14 years older than Christopher, so I is also 14 more than c. This gives that I = c + 14. Since I = 3c and I = c + 14, we have that 3c is equal to c + 14, giving the equation 3c = c + 14.
well this is from google and just so u know the letters stand for the names
Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
Answer:
8
Step-by-step explanation:
Varies directly think y=kx
Varies indirectly think y=k/x
We have first option so y=kx
x=6 and y=15 means we have 15=k(6)
So k=15/6 or reducing gives=5/2
So we just found our constant of proportionality, this number never changes. It stays the same no matter what x or y they give you...
So the equation is y=5/2 *x
Now what is x if y=20
Plug in 20=5/2 *x
So x=20*2/5=40/5=8
