Easy
set to zero
those are the roots or xintersepts
(x+1)(x+4)(x-7)=0
x+1=0
x=-1
x+4=0
x=-4
x-7=0
x=7
xints are (-4,0) (-1,0) (7,0)
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin
= 
⇒ x = 86 x Sin 
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
Step-by-step explanation:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
To prove this conjecture
unit digit = 6
hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )
Answer:
y=x+20
Step-by-step explanation:
The y-intercept is 20, as the line is on the y-axis while x is 0. The slope would be 0, because the y and x values both increase by 10, so 10/10 which simplifies to 1. The result would be y=10/10x + 20 simplifying to y=1x+20, which is y=x+20.
Hope this helps!