Im not able to make a distance-time graph, since they don't have a graphing app but I've done this type of problem.
They walked the same distance.
You: 1.5x8=12
Friend: (2x4)+(1x4)=12
Answer:
The total cost y of a meal.....
Step-by-step explanation:
The total cost of the meal Y suggests addition, which if you added the x and w portions, you would end up with y.
The other answers suggest subtraction, division, or multiplication, which is not being illustrated by the model.
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
1. The counterclockwise rotation by 90° about the origin has rule:
(x,y)→(-y,x).
Then
(-3,-1)→(1,-3).
2. Translation 4 units up has rule:
(x,y)→(x,y+4).
Then
(1,-3)→(1,1).
Answer: after composition of transformations the image point has coordinates (1,1).
