Answer:
If x varies directly as y, then x=ky. y=5 and x=2.5 are substituted into x=ky to find k.
2.5=5k
k=2.5/5
k=5.
K =5 is substituted in x=ky to find y where x is 10.
x=5y
10=5y
y=10/2
y=2
Answer:
x = 7
Step-by-step explanation:
I hope this helps.
Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
−
1
2
Decimal Form:
x
=
−
0.5
Step-by-step explanation:
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600
2100 cm
104m = 10400 cm
10400, 9600, 2100
104m, 0.096km, 2100cm
Answered by Gauthmath
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
