Answer:
The y's are 1, 3, 5, 7
Step-by-step explanation:
You have equation y = 2x + 3
You can think of this as a "rule" So whenever you're given a number (a value for x) you put the number in place of the x and times by two then add three.
you were given a list of numbers. They will go one at a time and have a turn being acted on by the rule.
It looks like this: first when x is -1.
take the -1 times by 2 >>>> that's -2 and then add 3 >>>> so you get 1.
y = 2x +3, x= -1
y = 2(-1) + 3
y = 1
You might have a column to write the answers in like next to their x's. Or sometimes we write them in pairs (-1 , 1)
y = 2x + 3; x = 0
y = 2(0) + 3
y = 3
(0, 3)
y = 2x + 3; x = 1
y = 2(1) + 3
y = 5
(1, 5)
y = 2x + 3; x = 2
y = 2(2) + 3
y = 7
(2, 7)
Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα = 
= 
= 
, thus
α = 
( ) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
= 
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx = 
, thus
x = 
( ) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
4 units wide........................
Answer:
Lemniscate.
Step-by-step explanation:
It is called a lemniscate. A bit like the sign for infinity (∞) . Symmetrical about the x and y axes.
