Answer:
all x intercepts [-4, 0] [4, 0]
Step-by-step explanation:
x-intercept, i.e. y=0
f(x) = x^3 - 4x^2 - 16x + 64 = 0
(x^3 + 4^3) - 4x^2 - 16x = 0 [FYI, x^3 + y^3 = (x + y)(x^2 - xy + y^2)]
(x + 4)(x^2 - 4x + 16) - 4x^2 - 16x = 0
(x + 4)(x^2 - 4x + 16) - 4x(x + 4) = 0
(x + 4)(x^2 - 4x + 16 - 4x) = 0
(x + 4)(x^2 - 8x + 16) = 0
(x + 4)(x - 4)^2 = 0
x = -4 or 4
all x intercepts [-4, 0] [4, 0]
Answer:
x=0 y=0.5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The multiples of 8 are 8,16,24,32 etc. and the multiples of 6 are 6,12,18,24,30, ect. The answer is 24 because it is the lowest multiple of 6 that crosses with multiples of 8.
The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Ratio of ΔABC to ΔDEF = 
Similarly, ratio of ΔABC to ΔDEF = 
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.
The answer is b because 6 and 4s common denominator is 24