Answer:
x = -2y - 4
Step-by-step explanation:
x + 2y = -4
Subtract 2y from both sides.
x = -4 - 2y
Answer:
Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5
Answers: a = 
, b = (0, -1), c = C, d = 0
<u>Explanation:</u>
a) Add 2π 
until you get a positive value.
+ 
= , which is located on the y-axis at 270°
b) Look at the Unit Circle to find the coordinates of = (0, -1)
c) cot = 
= 
d) = 
= 0
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Answer: 471.24
<u>Explanation:</u>
angular speed (w) = 
= 4π radians/hour
linear speed (v) = r * w
= 
= 150π meters/hour
≈ 471.24 meters/hour
Answer:
perimeter = 107.4 m
area = 640.82 m²
Step-by-step explanation:
The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.
The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.
Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.
(a/2)² + (2a/2)² = 20²
(a/2)² + (a)² = 20²
a²/4 + a² = 400
(a² + 4a²)/4 = 400
5a²/4 = 400
cross multiply
5a² = 1600
a² = 1600/5
a² = 320
square root both sides
a = √320
a = 17.88854382
a ≈ 17.90
The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.
Area = length × breadth
area = 17.90 × 35.80 = 640.82 m²
perimeter = 2(l + b)
perimeter = 2(35.80 + 17.90)
perimeter = 2(53.7)
perimeter = 107.4 m
The equation that could be used to represent this relationship is... c = 20f
If 50 people attended, Hanks cost would be... $1000... because...
- c = 20 x 50
- 1000 = 20 x 50
So, it will be $1000 for the party, if 50 people come to the party.
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I had this question before on FLVS, so I know that these are the correct answers
