F(4) = 4^2-5
f(4) = 4x4-5
f(4) = 16-5
f(4) = 11
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
● Answer:
8.995 cm
● Step-by-step explanation:
P = d + L/2
d = 3.5 cm
L/2 = 2pi×r/2
= pi×d/2
= 3.14×3.5/2
= 5.495 cm
P = 3.5cm + 5.495
= 8.995 cm
First thing to do is find out the coordinates of two points on the graph (I will use the ones that have been marked by the red dots):
Point A: (3, -1)
Point B: (1, 2)
Then we will use the slope formula to work out the slope:
y₂ - y₁ / x₂ - x₁
Substitute in our points:
2 - (-1) / 1 - 3
Then we work out the expression (remember a negative and a negative make a positive!):
3 / -2
Then we check if we can simplify this fraction, which in this case we cannot.
Therefore the slope of that line would be:
3 / -2
(remember to write it as a fraction!)
