Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Problem 1
Answers: Choice A, choice D
The formula you use is
a & c/d = (a*d+c)/d
To convert from mixed number form to improper fraction form.
So,
6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3
And also,
8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5
===============================================
Problem 2
Answer: Reflection
Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.
Answer:
A: 0
Step-by-step explanation:
Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.
In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.
So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)
Answer:
slope=0
Step-by-step explanation:
Slope (m) = ΔY
/ΔX
=0
ΔX = -3 – 6 = -9
ΔY = 8 – 8 = 0
Distance (d) = √ΔX2 + ΔY2 = √81 = 9
Equation of the line:
y = 0x + 8
When x=0, y = 8
If period of
is one-half the period of
and
<span>
has a period of 2π, then
and
.
</span>
To find the period of sine function
we use the rule
.
<span /><span />
f is sine function where f (0)=0, then c=0; with period
, then
, because
.
To find a we consider the condition
, from where
.
If the amplitude of
is twice the amplitude of
, then
has a product factor twice smaller than
and while period of
<span> </span> is 2π and g(0)=0, we can write
.
