R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y
Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)
Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34
The distance is √34 unit length
Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
Answer:
f(3)=11
Step-by-step explanation:
f(x) = 2x + 5
to find f(3) we simply plug in 3 where ever x is
So f(3) = 2(3) + 5
==> multiply 2 and 3
f(3) = 6 + 5
==> add 6 and 6
f(3) = 11
In the table, y is not a function of x .
Changes in x cause no change in y .
Answer:
Trevon is 28 years old
Step-by-step explanation:
Riggs =x
Trevon =7+x
7+x+x=49
7+2x=49
2x=49-7
2x=42
x=21
Trevon is 21+7= 28 years old
