Y=kx, k is not equal to 0
when y=32,x=3, 32=3k
k=32/3
so y=32/3*x
when y=15, 15=32/3*x
x=45/32
Answer:
c = √85
c = 9.2
Step-by-step explanation:
a² + b² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
c = √85
c = 9.2
Answer:
see explanation
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
Given
y = x² - 6x + 3
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 3
= (x - 3)² - 6 ← in vertex form
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = 1 > 0, thus
(3, - 6 ) is a minimum
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
8^x= 64
8²= 64
In logarithmic form,
log(base 8) 64= 2
