Answer:
(0, 6)
Step-by-step explanation:
Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).
I hope this was helpful! Have a lovely day! :D
Answer:
<h2>1. 14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>
Step-by-step explanation:
x 2x 3x + 1
|---------|-------------------|---------------------------|
|<-------------------- 85 in ------------------------>|
85 = x + 2x + 3x + 1
85 - 1 = 6x
x = 84 / 6
x = 14
1st piece = 14 in
2nd piece = 2(14) = 28 in
3rd piece = 3(14) + 1 = 43 in
----------------------------
total = 85 in
The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then
Therefore, the height of the airplane above the tower is 1,819.85 feet.
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.