Answer:
The correct answer to given question is option (a).
Step-by-step explanation:
Given function: f(x)= -2|x+1|
we need to put random values of x in given function to see that range of the given function f(x) is all real numbers.
when:
x=0; f(0)= -2|0+1|= -2|1|= -2
when x is positive i.e. x>0
x=1; f(1)= -2|1+1|= -2|2|= -4
x=2; f(2)= -2|2+2|= -2|4|= -8
when x is negative i.e. x<0
x= -1; f(-1)= -2|-1+1|= -2|0| =0
x=-2; f(-2)= -2|-2+1|= -2|-1|=2 (with the help of mod property |-1|=1)
hence, we saw that
when we take x>0; f(x)<0
when x<0; f(x)>0
we can conclude from above steps that the range of function f(x)= -2|x+1| is all real numbers.
Can use right angle angle trigonometry as this is a right triangle
sine is opposite over hypotenuse
sin 60 = BC/AB because opposite to 60 is BC and the hypotenuse is AB.
rearrange for AB
sin 60 = BC/AB
AB sin 60 = BC
AB = BC / sin 60
we are given that BC = 15 in
AB = 15 / sin60
AB = 17.321 in (calculator
can use tangent of 60 degrees to find AC
tangent is opposite over adjacent so
tan(60) = BC / AC
AC tan 60 = BC
AC = BC / tan 60
AC = 15 / tan 60
AC = 8.660 in
Answer:
y+7=5/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=5/4(x-8)
y+7=5/4(x-8)
Answer:image
Step-by-step explanation:The photo is the answer
