Answer:
-1 and 0
Step-by-step explanation:
the slope of 5 is 0 because these two points have the same y (2) which means the line goes straight across (Horizontal).
Answer:
2/8
Step-by-step explanation:
Answer: C
Explanation:
Test A.
The left side is
tan(x - π/4) = [tan(x) - tan(π/4)]/[1 + tan(x)*tan(π/4)]
= [tan(x) - 1]/[1 - tan(x)]
= -1
This is not equal to the right side.
Statement A is not an identity.
Test B.
The right side is
sin(x+y)/(sinx siny) = [sin(x)cos(y) + cos(x)sin(y)]/[sin(x)sin(y)]
= cot(y) + cot(x) = 1/tan(y) + 1/tan(x)
= [tanx + tany]/[tan(x)tan(y)]
This is not equal to the left side.
Statement B is not an identity.
Test C.
The right side is
[sin(x)cos(y) - cos(x)sin(y)]/[cos(x)cos(y)]
= sin(x)/cos(x) - sin(y)/cos(y)
= tan(x) - tan(y)
Ths equals the left side.
Statement C is an identity.
Test D.
The left side is
cos(x)cos(π/6) - sin(x)sin(π/6)
= (√3/2)cos(x) - (1/2)sin(x).
The right side is
sin(x)cos(π/3) - cos(x)sin(π/3)
= (1/2)sin(x) - (√3/2)cos(x)
The two sides are not equal.
Statement D is not an identity.
Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
in this problem we have
substitute
that means------> The volume of the sphere is eight times the volume of hemisphere
If the question is actually “danielle ran the first 1/5 of a 6 mile race. how many miles did she run?” then the answer is 1 & 1/2 miles.