Answer:
y = 5x + 12
Step-by-step explanation:
Use the formula: y - y1 = m(x - x1)
Plug in all numbers into your equation: y - 7 = 5(x - -1)
Minus with a minus becomes a positive: y - 7 = 5(x + 1)
Distribute: y - 7 = 5x + 5
Add 7 to both sides: +7 +7
Answer: y = 5x + 12
So remember the formula for working out the slope:
(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
Equation = a² + b² = c²
a = 80
b = 39
c = Diagonal
a² + b² = c²
80² + 39² = c²
6400 + 1521 = c²
c² = 7921
c = √7921
c = 89
Answer = 89 units
Which of the following sets of ordered pairs does not define a function? {(−1,4),(0,4),(1,4),(2,4),(3,4)} { ( − 1 , 4 ) , ( 0 ,
Novay_Z [31]
Step-by-step explanation:
5 is not function because an x cannot map on 2 different y's
Answer:
A) Quantity x minus 5 over quantity x plus 1, where x≠-1 and x≠-9
Step-by-step explanation:
Simplifying the numerator first:
x² + 4x - 45 using the quadratic formula you get;
(x - 5)(x + 9)
Then simplifying the denominator x² + 10x + 9 using a quadratic formula you get;
(x + 1)(x + 9)
Dividing the numerator and denominator now gives;
Cancelling (x + 9) throughout leaves you with;
The only restrictions here is if x = 1 and 9 which will give an undefined answer.
