Answer:
the home is
5.83 blocks 31° North of west of the school
Step-by-step explanation:
Resolving the displacement to vertical and horizontal axis
Let north and south represent positive and negative vertical axis, also east and west represent positive and negative horizontal axis;
Vertical axis; , 2 blocks south to visit her aunt, then 5 blocks north to go home
Ry = -2 + 5
Ry = +3
Horizontal axis; 5 blocks west to the grocery store
Rx = -5
Resultant distance = R = √(Rx^2 + Ry^2)
R =√(-5^2 + 3^2)
R = √34
R = 5.83 blocks
For the direction;
∅ = arctan(Ry/Rx) = arctan(3/5)
∅ = 31°
Therefore, the home is
5.83 blocks 31° North of west of the school.
Answer:
x is less than or equal to 7
Step-by-step explanation:
The slope is also known as rate of change, or the amount in which a value changes over time. The given slope is 20.
:)
Answer:
264
Step-by-step explanation:
Answer:
a) 6x + 18 = 84
b) 11 yards
Step-by-step explanation:
a) You have that Jennifer made 6 identical curtains. If you chose x as the number of yards of fabric used for one curtain, you have that the total number of yards in the 6 curtains o fabric is
Furthermore, if you sum 18 yards to the 6x yards, the total amount of yards must be 84. Thus, you have the following equation:
b) Next, you solve the equation for x:
Then, 11 yards were use to make each curtain.